mega yacht a mondello oggi

Yacht da 150 milioni di dollari avvistato a Mondello, l'anno scorso ospitò "Magic" Johnson a Capri

Aquila, lunga 85 metri, è di proprietà della miliardaria americana Ann Walton Kroenke, ereditiera di parte del patrimonio della catena Walmart e moglie del proprietario di diverse società sportive tra cui l'Arsenal. L'imbarcazione viene però spesso noleggiata. Prezzo: 945 mila dollari a settimana

Francesco Sicilia

Nell'estate del 2021 venne avvistato a Capri, ma anche a Porto Cervo: a bordo c'era la leggenda del basket "Magic" Johnson con la sua famiglia per una vacanza di lusso nel mare italiano. In questi giorni lo yacht Aquila, imbarcazione da 150 milioni di dollari, si trova al largo di Mondello. Mistero su chi si trovi all'interno di questo gioiello lungo 85 metri che può ospitare 12 persone in 7 cabine, che ha anche catturato l'attenzione dopo un video girato da un palermitano e caricato sui social. Di sicuro c'è che la proprietaria è Ann Walton Kroenke, ereditiera della famiglia fondatrice e proprietaria dei negozi Walmart, tra i leader mondiali della grande distribuzione organizzata.

Chi è la proprietaria dello yacht Aquila

La donna ha un patrimonio stimato da Forbes in 8,1 miliardi di dollari ed è al 227esimo posto della classifica delle persone più ricche del mondo. Nella scheda che la celebre rivista di economia dedica ad Ann Walton Kroenke si legge: "E' la figlia di Bud Walton, che ha aiutato suo fratello, Sam, il fondatore di Walmart, a trasformare la catena in un gigante internazionale della vendita al dettaglio. La donna ha ereditato parte della partecipazione di Bud in Walmart, quando l'uomo è morto nel 1995. Suo marito è il miliardario magnate immobiliare e sportivo Stan Kroenke. Possiede Los Angeles Rams, squadra di football americano, i Denver Nuggets, che milita nell'Nba, i Colorado Avalanche, team di hockey dell'Nhl, e nel calcio i Colorado Rapids, che disputa il campionato Mls, e l'Arsenal, storico club della Premier League inglese".

00 aquila mondello-2

Chi c'è a bordo dello yacht a Mondello

Non è detto però che a godersi la vacanza nelle acque davanti a Palermo siano gli stessi Walton. Lo yacht, infatti, viene spesso noleggiato. Prezzo: 945 mila dollari a settimana. L'anno scorso fu appunto all'ex giocatore dei Los Angeles Lakers, "Magic" Johnson, ad affittare questo colosso per navigare qualche giorno nello specchio d'acqua compreso tra la Campania e la Sardegna. Fu lo stesso Johnson a postare sui social foto della famiglia a bordo di Aquila. Al momento, invece, non si sa chi stia trascorrendo questo soggiorno da sogno all'interno dello yacht ormeggiato nel golfo di Mondello. La presenza nelle acque palermitane di Aquila è stata rilevata ieri dai principali siti che intercettano il traffico marino. Partita dal Principato di Monaco l'11 maggio, la barca da sogno, è passata successivamente da Genova e Ajaccio, in Corsica, per poi approdare in Sicilia.

aquila magic johnson instagram-2

Caratteristiche dello yacht Aquila

Sono diversi gli articoli su internet di siti specializzati che descrivono le caratteristiche di Aquila. "Costruito nel 2010 da Derecktor Shipyards e rinnovato nel 2016. I suoi lussuosi interni sono progettati da Dalton Designs e il suo stile esterno è di Tim Heywood Design. Il megayacht Aquila può accogliere fino a 12 persone in 8 cabine, di cui una suite armatoriale e 4 cabine Vip, oltre a 28 membri dell’equipaggio, che sapranno garantire agli ospiti un’esperienza rilassante e all’insegna del lusso. Aquila è infatti uno yacht da charter", si legge su DailyNautica. "Con una velocità di crociera di 15 nodi, una velocità massima di 17 nodi - scrive ancora il sito - ha serbatoi in grado di imbarcare 370 mila litri di carburante. A bordo gli ospiti troveranno aria condizionata, Wi-fi, Jacuzzi sul ponte, palestra, ascensore e stabilizzatori all’ancora. Il tutto circondato da uno stile senza tempo, splendidi arredi e sontuosi posti a sedere per creare un’atmosfera elegante e confortevole".

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Megayacht A, has already cost Italy 18 million euros, will still cost a lot of money, and the state cannot dispose of it.

Megayacht A, which is in fact the world’s largest sailboat (although some people refuse to call it a “sailboat”)  had been seized from Russian tycoon Andrei Melnichenko on the night of March 11-12, 2022  while in Trieste, two years ago.

megayacht A

The seizure had been put in place by the Finance Guard in execution of sanctions decided by the European Union against Russian oligarchs after the outbreak of war between Russia and Ukraine.  But the operation was a bloodbath for the coffers of the Italian state, which had to, by law, shoulder the maintenance costs and, as we will explain, cannot get rid of the boat (for now).

The ugliest boat in the world?

When it was launched in 2015, the mega yacht A had sparked a plethora of outrage from sailing purists and sea lovers.  Three masts, 143 meters long, 25 meters wide, 12,600 tons in tonnage, and a height equal to an 8-story building. All metallic, boundless, armored.  Some had gone so far as to call it a “ monster ,” as in a disfigurement not only to classic yacht aesthetic standards, but also to current ecological and energy emergencies, not only of sea-going people.

Today that mega-sailing yacht designed by archistar Philippe Starck is at the center of controversy less related to personal taste and touching us “in the pockets.”

How much does the megayacht A cost Italy?

It has been exactly two years now that A has been moored in the Gulf of Trieste. The daily cost of maintaining the mega yacht is estimated to be between  20,000 and 30,000: multiply that by two years, that’s about 18 million. And the cost is bound to rise, with the end of Russian-Ukrainian tensions to date far away.

In fact, the Italian state must pay for the 20-man crew that looks after the boat, which under custody cannot deteriorate. You also have to do the cleaning and maintenance to all the systems that allow the mega yacht to operate and power its super generator that stays on day and night.

Will the state ever recover this money?

But this money who will give it back to Italy. Certainly not Melnichenko , one of the richest men in the world with an estimated wealth of 27.5 billion, mainly related to coal and fertilizer.

mega yacht A

Italian institutions long ago received a notice saying the yacht does not belong to Melnichenko, but to a trust managed by an independent trustee with whom the oligarch denies having any relationship. The dispute resulted in a legal battle between the state and the ownership of the mega yacht, represented by major law firms.

Now the ball has passed into the hands of the European Court of Justice, which must rule on a preliminary ruling that was requested by the Lazio Regional Administrative Court. It all revolves around the interpretation of the  2014 EU Regulation 269  on sanctions and the actual allocation of ownership of the yacht. The companies flowing into the trust challenged the asset freeze, claiming ownership. Will the Italian state be able to recover the costs incurred in maintaining the boat?

Italian law stipulates that in the event that the seizure does not become final and the owning company wants to get the yacht back, it would first have to pay all the maintenance fees and until it does so, based on the right of retention that any shipyard has with respect to the assets it guards, it cannot get the yacht back. We shall – for quite a while yet – see.

  • Andrei Melnichenko
  • Megayacht A

Douglas Hensman

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1. Boat Tour in Mondello Bay in Sicily

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mega yacht a mondello oggi

One of the largest megayachts in the world turns heads in Malaga marina again

The 141-metre-long luxury vessel is based on the hull of an old dutch navy frigate. it has a helipad, several swimming pools, and capacity for 60 passengers and 56 crew members.

Ignacio Lillo

Friday, 12 May 2023, 08:16 | Updated 10:44h.

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One of the largest megayachts in the world, the 141-metre-long Yas, has cruised into Malaga’s marina for luxury vessels again.

It is the second visit by the colossal craft, a former Dutch navy frigate, and it remains the largest to moor in the city centre facility. In the process, it has put many of the Muelle Uno restaurants and shops in the shade - literally.

The Yas, as it is known today, is actually the second life of another ship. Named Swift141 during her reconstruction, the Yas is based on the hull of an old frigate; Piet Hein, a Kortenaer class frigate of the Royal Netherlands Navy. She was launched in 1978 and later sold to the United Arab Emirates Navy, where she operated under the name Al Emirat. This practice is not that rare, as a second frigate of the same class is in fact undergoing a similar conversion; the Abraham Crijnssen, renamed Abu Dhabi.

One of the most impressive features of the Yas is its size. It is 141-metres-long and has several swimming pools and helipad. Its interior was created by French designers House Pierrejean Vision Design Studio.

The megayacht is capable of carrying up to 60 guests and 56 crew members. The facilities include a beauty salon and a lift. Powered by two diesel engines, she cruises comfortably at 23 knots, with a top speed of 26 knots and a range of up to 5,758 nautical miles.

The ship belongs to Hamdan Bin Mohammed bin Rashid Al Maktoum, Prince of Dubai and the United Arab Emirates, so it can be considered the official yacht of the Emirati crown. Known as Fazza, 40, the prince is very active on social media, where he has more than 12 million followers. With his snapshots, you can get a closer look at his luxury day-to-day life in Dubai.

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What Dreams Are Made Of: The $500M Avanguardia Mega Yacht Concept

What Dreams Are Made Of: The $500M Avanguardia Mega Yacht Concept

Pierpaolo Lazzarini is a millennial Italian designer who has become known for his visions and concepts which are lightyears ahead. His portfolio includes automotive, aerospace, architecture, and yacht design with extremely unique and innovative prototypes. He defines his team at Lazzarini Design Studio as a group of designers, engineers, and dreamers. His mantra, ‘Think about the future but never forget the past,’ is clearly visible in his art.

In the 1990s, Luca Bassani Antivari revolutionized the yachting industry with his Wally yachts by pioneering carbon fiber as a building material; apart from that, boating structures have remained pretty standard until Lazzarini broke into the field with his revolutionary futuristic ideas.

mega yacht a mondello oggi

Since being highly praised and awarded for his Jet Capsule design, a small egg-shaped fiberglass yacht, Lazzarini’s focus has been on innovative boat shapes. As such, the studio has recently unveiled its latest watercraft concept: Avanguardia , a 137-meter swan-shaped mega yacht. Lazzarini’s design, inspired by a 1970’s Japanese anime, includes a control tower cockpit positioned in the front of the yacht and appearing like the head of a swan (as seen in the Lazzarini Design Studio logo). This cockpit acts as a 16-meter boat that can disconnect when the flexible neck crane extends itself 157 meters forward. When the independent boat is set free of the yacht, the top part of Avanguardia becomes the auxiliary control tower. The neck crane then retreats back toward the yacht like a swan tucking its head under its wing to sleep, enabling the yacht to reach a max cruising speed of 18 knots.

mega yacht a mondello oggi

This incredible power is provided by twin fully electric side engines and a central MTU Rolls-Royce engine. Two of Lazzarini’s Jet Capsules are connected to the rear deck and used as auxiliary propulsion or, when disconnected, work independently as mini-jet cruisers. Avanguardia is split into five decks and could fit up to 60 passengers, providing accommodation for up to 10 crew, 12 staff, and 24 guests. The top level is equipped with helipads and one helicopter, while amidship is a garage for storing luxurious vehicles, and why not one of Lazzarini’s extravagant electric limousines?

Although Avanguardia is still a concept, the team has always been focused on creating prototypes that are not just animations. The design studio is looking for a client ready to invest $500M to see this beautiful swan spread its wings and sail the blue sea.

mega yacht a mondello oggi

When asked “Why a swan?” Lazzarini answered that he finds in nature a source of inspiration for its innate perfection; he chose the swan, as by definition, it is the symbol of elegance and grace.

Avanguardia is just the first of six animal-shaped Lazzarini-designed yachts that will be presented over time.

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Andrea henriquet è un velista nato a sestri levante. skipper e campione del mondo di vela, ha partecipato al giro del mondo e alle più importanti competizioni veliche. oggi è un istruttore di vela e si occupa di formazione.

mega yacht a mondello oggi

Gemma Sciallino: “Ho iniziato come segretaria e poi mio marito mi ha trasmesso la passione per il mare e le barche”

Gemma sciallino è la moglie mario sciallino, storico maestro d’ascia ligure e anima del cantiere sciallino di ceriale, che costruisce imbarcazioni dai 6 ai 15 metri.

mega yacht a mondello oggi

Gianfranco Campolucci: “La Lamborghini venne a provare un motore da offshore nella mia officina a Chiavari. Così divenni un pilota”

Gianfranco campolucci ha da sempre la passione per la velocità e per le corse. prima in moto, poi in barca. nella sua vita ha sempre alzato l’asticella dei suoi successi personali, trasformando il lavoro nella motonautica in una passione agonistica.

mega yacht a mondello oggi

Maurizio Bulleri: “Giù le manette! Che sia un gommone da 6 metri o un mega yacht, voglio trasmettere la passione e la voglia di navigare”

Ex campione di motonautica e ora volto di “the boat show”, maurizio bulleri prova le barche più belle del mondo. su youtube oltre 50 milioni di persone hanno visto i suoi video e il canale ha più di 130mila iscritti.

mega yacht a mondello oggi

Giuseppe Di Capua: “Da bambino ero sempre in spiaggia e vedevo i cantieri che producevano i gozzi lavagnini famosi in tutta la Liguria”

Giuseppe di capua ha iniziato a lavorare alla costruzione di barche come garzone a lavagna, fino a diventare uno storico maestro d’ascia che custodisce saperi e tradizioni del mestiere.

mega yacht a mondello oggi

Andrea Balistreri è il più giovane maestro d’ascia d’Italia: “Lavoro con mio padre che mi ha insegnato l’orgoglio di questo mestiere”

Michele e andrea balistreri, padre e figlio, sono due maestri d’ascia di la spezia. sono tra gli ultimi artigiani a costruire le barche per il palio del golfo e realizzando ancora il calafataggio.

mega yacht a mondello oggi

Barbara Amerio: “Navigare riducendo consumi ed emissioni è possibile. E il mercato ci sta dando ragione”

Concretezza dell’artigianato tradizionale unita a un forte spirito di sperimentazione. sono queste le caratteristiche del cantiere amer yachts – gruppo permare, azienda sanremese guidata da barbara amerio, leader nella cantieristica per yacht a livello internazionale.

mega yacht a mondello oggi

Fabio Pozzo: “Il mare è un modo di vivere, è uno stato d’animo, non un panorama”

Fabio pozzo, giornalista de la stampa, ha avuto il merito di portare su un grande quotidiano generalista una pagina e un canale web dedicati al mare. al centro mette sempre le storie, i protagonisti e le passioni.

mega yacht a mondello oggi

Giovanni Novi: “Quella sera che allo Yacht Club accendemmo le luci del municipio di Sidney come fece Marconi”

Uomo di finanza, promotore della vela fra i giovani, tanto da fondare la sail training association e organizzare regate e raduni, giovanni novi racconta il suo rapporto con il mare e con la vela, a bordo del chaplin, lo yacht di famiglia donato alla marina militare.

mega yacht a mondello oggi

Marina Stella: “L’Italia ha enormi potenzialità ma la nautica deve saper fare sistema”

Direttore generale di ucina confindustria nautica, marina stella racconta il suo ruolo nell’associazione di categoria e spiega quali sono gli ingredienti mancanti per una nautica italiana ancora più competitiva.

mega yacht a mondello oggi

Ugo Salerno: “Amo il mare e le sue sfide. Spesso sono simili a quelle che ritrovo nell’ambito lavorativo”

Ugo salerno è il presidente di rina spa. la sua vita è da sempre legata al mare. sin da bambino ha avuto negli occhi il golfo di napoli, fino all’arrivo a genova e alla partecipazione a tante storie di successo.

mega yacht a mondello oggi

Alberto Cavanna, da manager ad artista: “Racconto un mondo con troppa cultura e poca saggezza”

Alberto cavanna oggi è uno scrittore e artista. ma prima lavorava in alcuni cantieri nautici. ecco com’è cambiata la sua vita personale e lavorativa.

mega yacht a mondello oggi

Agostino Sommariva: “Ho scoperto la vela grazie alla passione per il mare di mio padre. Ora porto avanti un’attività di oltre 100 anni”

Agostino sommariva ha un ricco palmares di vittorie e titoli ottenuti navigando in barca a vela. oggi è un produttore di olio extra vergine d’oliva, proseguendo un’attività di famiglia storica.

coralli

Al via a Barcellona la Conferenza dell’ONU sul “Decennio del Mare”

  • 8 April 2024

Tigullio Design District 2024

Tigullio Design District: dal 15 al 21 aprile la terza “new design experience” alla ligure

Nave Vespucci doppia Capo Horn

Nave Vespucci doppia Capo Horn per la prima volta: video e foto

  • 6 April 2024

mega yacht a mondello oggi

CMC Marine e Furuno insieme per la massima stabilità in mare

  • 5 April 2024

Guarda il video di Daily Nautica

mega yacht a mondello oggi

Varato il M/Y Dyna di Benetti: è una barca-museo

  • 9 April 2024

Il M/Y Dyna di Benetti offre un'esperienza di lusso senza pari, con ambienti che si trasformano in veri e propri spazi museali grazie alle raffinate creazioni di artisti italiani che li decorano

mega yacht a mondello oggi

Rizzardi Yachts svela il nuovo “INSeven Plus”: sarà l’ammiraglia della linea “IN”

Il nuovo yacht di 24 metri “inseven plus” diventerà l’ammiraglia della famosa linea "in" di rizzardi yachts.

mega yacht a mondello oggi

Floating Life e lo yacht management a 360°: “Sempre focalizzati sul cliente tra charter e superyacht in multiproprietà”

Intervista a filippo rossi, direttore commerciale di floating life, azienda specializzata nello yacht management, sempre pronta a offrire una serie di servizi su misura all’armatore, dal charter alle nuove costruzioni, video dalla nostra redazione e dalla rete, varato il columbus atlantique 43m m/y night fury ii, azimut benetti e d-marin annunciano l’inizio dei lavori di costruzione del marina di livorno.

  • 29 March 2024

Le condizioni meteo-marine sul Mediterraneo per la Pasqua 2024

Project fusion: la “casa sulla spiaggia” di winch design per feadship.

  • 28 March 2024

Baglietto presenta un nuovo sistema propulsivo ibrido per gli yacht del futuro

Cmarchitect presenta il concept cma 40 metri explorer catamaran.

  • 27 March 2024

Baron Gautsch, il Titanic dell’Adriatico – Parte 2

mega yacht a mondello oggi

Porto Antico di Genova S.p.A. – Marina in aree fieristiche

Il porto turistico nel centro di genova.

mega yacht a mondello oggi

Marina di Varazze – Varazze

La struttura più moderna della riviera ligure di ponente: massima qualità della vita di mare a portata di città.

mega yacht a mondello oggi

Marina degli Aregai – Santo Stefano al Mare

Il posto barca nel cuore della riviera dei fiori in liguria, cacciatori di relitti.

mega yacht a mondello oggi

Dalle profondità del Pacifico riemergono i resti dell’aereo di Amelia Earhart

mega yacht a mondello oggi

La famiglia che fotografava i naufragi

Baia di Paraggi

Baia di Paraggi: un angolo di paradiso nel cuore della Liguria

La baia di paraggi, oltre ad una spiaggia e ad un panorama mozzafiato, vanta un habitat sottomarino unico nel suo genere.

mega yacht a mondello oggi

Il meraviglioso giardino vista mare della Cervara a Portofino

Tra il golfo del tigullio e il monte di portofino sorge il giardino della cervara: un'oasi di pace vista mare.

Grotta dei Falsari

Grotta dei Falsari: una piccola finestra sul mare della Liguria

La grotta dei falsari si trova lungo il litorale ligure tra noli e varigotti, in provincia di savona. da questa cavità si può ammirare uno dei panorami più belli della liguria. ecco la sua storia.

Baia dei Saraceni

Baia dei Saraceni: un angolo di paradiso nel ponente della Liguria

A varigotti, in provincia di savona, sorge la famosa baia dei saraceni.

mega yacht a mondello oggi

Liguria storica a cavallo tra due golfi: a piedi dalla Chiesa Millenaria di Camogli al santuario di Caravaggio

Una gita di impegno contenuto e tanta soddisfazione, che consente di rimirare i golfi paradiso e tigullio contemporaneamente, da una prospettiva unica.

Genova Navebus

Scoprire Genova dal mare con il servizio NaveBus

Il navebus è un mezzo di trasporto pubblico unico, che offre un itinerario turistico alla scoperta di uno dei più importanti scali del mediterraneo.

Ciclopedonale Maremonti (Levanto, Bonassola, Framura)

In bicicletta sul mare in Liguria: itinerario Levanto-Bonassola-Framura

Una pista ciclopedonale adatta a tutti unisce tre splendidi borghi liguri, tra storia, panorami e spiagge.

Punta Crena

Itinerari in Liguria, passeggiata per Punta Crena: il diamante del ponente

Nota per le sue piccole dimensioni e per la sua conformazione a grotta, grazie alla sua inaccessibilità è rimasta fuori dalle classiche mete battute dal turismo di massa.

Immagini esclusive Liguria Nautica

Che ne dite di una camminata verso Castello Brown ed il Faro di Portofino? Vieni con noi!

Liguria nautica vi porta a castello brown e al faro di portofino.

Golfo del Tigullio, Itinerari

Voglia di mare e di un’escursione romantica? Ecco la Passeggiata dei Baci!

Il modo migliore per arrivare a piedi a portofino e godere del fantastico panorama che la nostra costa ci regala.

Liguria Nautica

Itinerari in Liguria: a spasso tra Noli e Varigotti

Uno dei borghi più belli d'italia e una magnifica passeggiata sul lungomare: un'escursione da vivere.

Trekking

Itinerari in Liguria: escursione al Castello di Monte Ursino a Noli

Una struttura suggestiva localizzata a pochi passi dalla cittadina di noli.

Golfo del Tigullio, trekking

Itinerari in Liguria: passeggiata a Sestri Levante

Una tranquilla passeggiata a sestri levante con vista baia del silenzio.

Itinerari LN

Itinerario Portofino-San Fruttuoso

Liguria nautica ha percorso per voi l'itinerario portofino-san fruttuoso: ecco la nostra esperienza.

Le passeggiate di Liguria Nautica

Passeggiata sul lungomare di Lavagna

Un itinerario rilassante per respirare aria di mare in totale tranquillità.

Marinedi

Pesca Tecniche di pesca, eventi, i racconti di veri pescatori

mega yacht a mondello oggi

Si prepara al varo “Big Fisher” di Royal Huisman: è il più grande yacht da pesca al mondo

  • 2 February 2024

"Big Fisher" di Royal Huisman è destinato ad un armatore appassionato di pesca

mega yacht a mondello oggi

HCB Yachts: lusso e prestazioni in un’unica barca. La video intervista di DN

  • 13 October 2023

Sulle imbarcazioni HCB si fondono le prestazioni e il lusso raffinato degli yacht: la nostra video intervista a Mike Myers, senior vp & chief engineer del Gruppo

mega yacht a mondello oggi

Tutte le novità Garmin per una pesca facile e fruttuosa – La video intervista di DN

  • 9 October 2023

Al Salone Nautico di Genova Garmin ha portato diverse novità per gli appassionati della pesca. Ecco la nostra intervista Carlo Brevini

mega yacht a mondello oggi

Risotto con polpetti

Il polpo è il protagonista indiscusso in questa ricetta non velocissima ma estremamente saporita e originale.

mega yacht a mondello oggi

Piadine farcite fatte in casa

  • 20 February 2024

Questa è la versione delle piadine senza strutto, facilissima e veloce perché non servono impastatrici o altri strumenti

mega yacht a mondello oggi

Spaghetti alla puttanesca

  • 12 January 2024

Gli spaghetti alla puttanesca sono un classico della tradizione italiana. Facili e veloci, mettono d'accordo tutti i palati a cui piacciono i sapori decisi

Foto le ultime fotogallery, a gonfie vele, faro intellettuale, giro di boa – il podcast, i post della pesca, il mare in tavola, in fondo al mar, l'ancora del diportista, racconti blu, solo contenuti originali, per fare la differenza., il canale pubblicitario ideale per le aziende del settore., la nostra storia: da realtà locale a brand globale., parliamo tre lingue: italiano, inglese, cinese., il valore di un impegno in difesa del mare..

Marchi FESR

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Rent a boat in Mondello with or without a licence

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The nearly 400-foot-long yacht was reported to cost more than $300 million to construct. It is owned by 38-year-old Russian billionaire Andrey Melnichenko.

By Melonie Magruder / Special to The Malibu Times

Those who spent the weekend at or near the beach might have believed that James Bond was visiting Malibu. Or maybe Captain Nemo. The appearance of the mega-yacht anchored just east of the Malibu Pier was enough to spark interest up and down the immediate coastline.

The “A” is the latest toy of 38-year-old Russian billionaire Andrey Melnichenko, who has made his money through the banking, steel and fertilizer industries. The unusual hull on the ship, designed by consumer modernist Philippe Starck, has inspired raves and jeers among yacht enthusiasts and, apparently, nudged several companies involved with the customized construction of the yacht into bankruptcy. It was reported to cost more than $300 million to construct.

According to numerous reports, the yacht has three pools, including a high-powered jet pool for laps that can be switched from salt to fresh water; 23,600 square feet of living space, including a 2,583-square-foot master suite wrapped in bomb-proof, 44-milimeter glass; custom finishes such as bath knobs priced at $40,000 each and comfort features like Baccarat crystal tables, mahogany walls and alligator-hide chairs.

The 24,000-horsepower engines run on gas tanks that cost more than $500,000 to fill and the yacht requires at least $20 million per year to maintain.

Mayor Jefferson “Zuma Jay” Wagner said that no other ship in the world currently is built to the same high technical standards as “A.”

He should know because the mayor got a first-hand look, which is a rare treat since it has been widely reported that the reclusive Melnichenko rarely lets anybody but his Serbian model wife Aleksandra Nikolic Melnichenkoor and the estimated 35 crew members aboard the yacht.

“I paddled out to the yacht in my kayak,” Wagner said. “I presented the crew member who greeted me with my business card zipped up in a baggie, and he invited me aboard.”

Wagner said the yacht was “gorgeous to look at,” but what he appreciated most was the well-maintained, “Lloyds of London 100-plus” quality standard.

“There is no other ship like this,” Wagner said. “Reported speed is about 23 knots, but I believe it can go up to 35.”

Wagner said local maritime rules stipulate that ships must anchor 300 yards offshore or 900 feet from the mean high-tide line on the beach and that the “A” con formed to requirements.

“I did mention to the crew member that Malibu had several fine dining options,” he said. “I recommended they take advantage of being in the neighborhood, and he said that he would pass along the tip. I believe they went to Geoffrey’s for dinner.”

Geoffrey’s management declined to confirm whether the restaurant received a visit.

“We maintain the privacy of all our guests,” a Geoffrey’s manager said. “But we did see the ship.”

Former Planning Commissioner Ed Gillespie, who brokers sales for yachts, referred to the vessel as a “giga yacht.”

“At 394 feet, it’s actually smaller than (Oracle Corp. CEO) Larry Ellison’s yacht, which is 458 feet,” Gillespie said. “I saw Ellison’s sailboat ‘Zenji’ up at Paradise Cove this weekend. So maybe the billionaires were having a little yacht party.”

Gillespie speculated that the “A” wasn’t able to berth in Marina del Rey because of its size.

“Marina del Rey averages 15 feet in depth and the ‘A’ draws at least 17 feet,” Gillespie said. “And its beam measures 62 feet. That’s really wide. It just wouldn’t fit.”

The “A” was still in Malibu as of Monday night.

“It sure turns heads,” said Gillespie, a bit wistfully. “I wouldn’t mind taking a ride.”

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mega yacht a mondello oggi

Inside The Billion Dollar Mega-Yacht Dubbed ‘Colossea’ — With Its Own Airship

A civilian luxury aircraft carrier ? Well, that's what one new mega-yacht concept resembles.

Plans for a $1 billion mega-yacht dubbed Colossea have surfaced online, showing its own detachable airship, Knewz.com has learned.

The 699-foot mega-yacht, designed by Italian design studio Lazzarini , releases the craft from electromagnetic blocks that keep it mounted until it's time to take a flight.

According to The U.S. Sun , passengers receive five-star treatment that includes a large pool on the top deck near the helicopter launch pad.

A video featuring the vessel and its aircraft shows them traveling in formation with a cheeky plea for funding that reads " Elon [Musk] , get in touch."

The massive vessel, which is capable of carrying 22,000 pounds in payload, can accommodate up to 24 passengers, along with 20 crew members.

The super-yacht has 22 guest suites with several pools, indoor and outdoor.

"On the Colossea yacht, the airship reimagines its iconic design with the materials and technologies of today , proposing the same measurements of the 1924's model with upgraded materials, layout and propulsion," Lazzarini states.

"The Colossea mega-yacht is an itinerant floating docking station for the detachable airship. Colossea is a concept design, but the estimated cost for the real construction is about $1B."

According to The New York Post , Colossea's design is a tribute to the N1 airship Norge, which made the first-ever trip of any kind to the North Pole approximately a century ago.

However, the aircraft included in the vessel is a new concept. The yacht includes a landing strip that is specialized for the aircraft.

While the mega-yacht is only a concept, it would cost $1 billion to come to fruition, according to Lazzarini.

While Colossea is unique with its aircraft, another super-yacht that can transform into a submarine .

As Knewz.com reported on December 7, a German company, Migaloo, reports it is developing a boat that doubles as a yacht and a submarine.

The M5_2023 was unveiled in June. It's promoted by Migaloo online as not only “the future of yachting,” but the “ultimate expression of personal uniqueness.”

Migaloo calls it the world’s first “private submersible superyacht.” It’s longer than a U.S. football field, measuring more than 160 yards long.

But an online statement by founder Christian Gumpold says today’s yacht owners want something more than a long, powerful boat.

“Owners are looking for privacy, security and protection for themselves, their guests and their valuables,” Gumpold says.

So to ensure “the greatest possible exclusivity and limitation,” Migaloo offers a “private floating habitat” to park the superyacht.

“Kokomo Ailand” is probably much smaller than the place “off the Florida Keys” that became a hit song . It’s about the length of a football field, with “living palm trees,” a pool and a penthouse on one of five different decks.

But in case the seas get rough, the M5_2023 can go as deep as 750 feet underwater and stay there for as long as four weeks. It can travel 20 knots above the surface and 12 knots below it.

You can move the island as well, if you wish. It can travel 9 mph.

This super-yacht is a $2 billion concept.

Italian company Lazzarini has developed a mega-yacht concept that includes a detachable aircraft. By: Lazzarini

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VIDEO: Exclusive look inside newly fitted superyacht O'MEGA

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By Katia Damborsky   27 July 2018

New video footage reveals the freshly refurbished interiors inside the 83m/271ft  luxury yacht O'MEGA .

One of the largest charter yachts available in Greece , O’MEGA was built by Mitsubishi Heavy Industries in 2004 and underwent a refit in 2015 by Italian design house Studio Vafiadis. Her sophisticated new look is now ready to be showcased in time for the summer season.

With the capacity to sleep up to 30 charter guests, O’MEGA is an impressive feat of engineering that is perfect for larger groups looking to experience a private yacht charter. She can be accessed via her private limousine tender, and is instantly recognisable from afar thanks to her sleek white exterior complete with polished lines and concave shapes.

O'MEGA motor yacht on the ocean exterior

Her interior is similarly elegant, featuring arctic white tones infused with classic dark wood and vibrant pops of blue. 

Taking full advantage of her size, she includes ample outdoor space. A Jacuzzi lined with sunpads can be found on the sundeck, along with a shaded al fresco dining area that will prove popular with charter guests looking to admire the Grecian views in the comfort of the shade.

There are further spaces to dine both inside and outdoors, making her a flexible charter option that suits the needs of all of her guests.

Superyacht O'MEGA with sunpads and jacuzzi and shaded dining space

The refit has also upgraded the salons, which are now refined and enjoyable places to relax and socialise. She includes a state-of-the-art cinema and a gym with plenty of facilities to appease guests looking to exercise while afloat.

As seen in the video, O’MEGA is an impressive motor yacht that exudes grandeur and grace. She would be perfect for guests looking to host an event charter on account of her size and her on-board entertainment facilities.

Salon area with grand piano on board luxury charter yacht O'MEGA

In order to find out more regarding M/Y O’MEGA, please get in touch with your preferred charter broker today.

Alternatively, take a look at all of the luxury yachts available for charter in Greece .

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83m Mitsubishi Heavy Industries 2004 / 2022

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google form assignment submission ignou

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IGNOU Assignment Submission Through Online Mode: IGNOU assignments can be submitted online mode by filling out the Google form or sending an email to the respective study centers of their respective regional center. Step-by-Step process to submit IGNOU assignments through Google form or email is as follows:

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phd in engineering mathematics

Engineering mathematics.

  • MSc by research

PhD, MSc by research Engineering Mathematics

Researchers in Engineering Mathematics carry out cutting-edge work in areas where mathematics is being applied to future challenges in engineering, industry and the life sciences. Through this area of study, fundamental theoretical and computational advances are made. There is also a strong tradition of interdisciplinary work, international collaboration and publication in leading research journals.

Research is supported by grants from public bodies, such as the Engineering and Physical Sciences Research Council, the Biotechnology and Biological Sciences Research Council, the Medical Research Council and the European Union, as well as from local government, national government and industry.

World-leading research

The University of Bristol is ranked fifth for research in the UK ( Times Higher Education ).

94% of our research assessed as world-leading or internationally excellent.

Entry requirements

PhD applicants must hold/achieve a minimum of a merit at master's degree level (or international equivalent) in a relevant discipline. Applicants without a master's qualification may be considered on an exceptional basis, provided they hold a first class undergraduate degree. Please note, acceptance will also depend on readiness to pursue a research degree.

MSc by Research applicants must hold/achieve a minimum of an upper second class honours degree (or international equivalent) in a relevant discipline and demonstrate readiness to pursue a research degree.

See international equivalent qualifications on the International Office website.

Read the programme admissions statement for important information on entry requirements, the application process and supporting documents required.

If English is not your first language, you will need to reach the requirements outlined in our  profile level E.

Further information about  English language requirements and profile levels .

Fees and funding

Fees are subject to an annual review. For programmes that last longer than one year, please budget for up to an 8% increase in fees each year.

More about tuition fees, living costs and financial support .

Alumni discount

University of Bristol students and graduates can benefit from a 25% reduction in tuition fees for postgraduate study.  Check your eligibility for an alumni discount.

Funding for 2024/25

A number of funded studentships are available each year, supported by research council, industry, University or other funds. View the faculty website for a list of currently available funded projects or visit jobs.ac.uk .

View information on funding postgraduate study for prospective UK, EU and international postgraduate students.

Self-funded or sponsored students are also very welcome to apply.

Further information on funding for prospective UK and international postgraduate students.

Career prospects

Our students follow a wide range of careers, such as mathematical modelling and simulation in engineering consultancies, government scientific civil service, the Met Office and the intelligence services.

Many graduates go on to work in quantitative finance and financial services more broadly and several have recently become entrepreneurs in the data analytics industry. Others follow traditional academic career paths in universities or in public- and private-sector research institutes.

Meet our supervisors

The following list shows potential supervisors for this programme. Visit their profiles for details of their research and expertise.

Research groups

Researchers in Engineering Mathematics contribute to projects across the University including artificial intelligence, machine learning, complexity, robotics, dynamics and control, environmental uncertainty, predictive life sciences, and neurosciences.

A list of available projects can be found on the Faculty PhD opportunities site.

Read more about Engineering Maths research groups .

How to apply

You need to contact a potential academic adviser to discuss available projects, and complete a  Supervisor Suitability Form (Office document, 71kB) , before submitting an application.

You can then apply using our online application system. For further information, please see the  guidance for how to apply  on our webpages.

For September 2024 entry: Overseas: 31st July 2024 Home: 12th August 2024

If you wish to apply for an alternative start date, please contact the admissions team directly.

Faculty of Engineering Postgraduate Research Admissions Team

Faculty of Engineering

School of Engineering Mathematics and Technology

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CSEM PhD Program

The University of Texas at Austin offers the Doctor of Philosophy (PhD) degree with a major in Computational Science, Engineering, and Mathematics (CSEM). We seek students who are committed to excellence, desire expertise in multiple disciplines, and are willing to take on new challenges while working alongside faculty involved in research at the forefront of computational science. CSEM doctoral students complete advanced coursework in applied mathematics, computer science, and in fields representing the application area. Graduates of the CSEM PhD Program have made significant contributions to research, academia, and technology.

Table of Contents

Csem concentration areas, degree options, preliminary exams, dissertation, phd dissertation committee, dissertation proposal.

  • Proposal Presentation

Admission to PhD Candidacy

Phd dissertation and oral defense, other requirements, seminar attendance, annual progress reports, appeals and petitions.

Within this graduate studies program, each student must develop a program of study and research in Computational Science, Engineering, and Mathematics that includes a substantial component from each of the three CSEM concentration areas:

Applied mathematics

Area A encompasses the mathematical theory and foundations underlying the scientific models and computational science addressed in the overall research effort. It may involve, for example, functional analysis, partial differential equations, differential geometry, probability, data science, optimization, and approximation theory.

Numerical Analysis and Scientific Computation

Area B encompasses all areas of algorithms and computational simulation, as well as their development, verification, and analysis. It often covers, for example, issues of numerical stability and approximation, scientific programming, visualization, parallel computation, software design, and high performance computing.

Mathematical Modeling & Applications

Area C encompasses the scientific principles of the natural, engineered, social, or other system that motivates the research and aims to foster some scientific or societal goal through computational modeling and simulation. With the assistance of a CSEM faculty member, all students are expected to develop a concentration of coursework in a well-defined discipline of science, engineering, medicine, economics or the social sciences. Examples include physics, chemistry, biology, geology, biomedicine, all disciplines of engineering, and other areas of science and medicine that form the basis for developing mathematical and computational models.

CSEM has two degree options. Upon entering the program, each student must select an option.

The Computational and Applied Mathematics (CAM) option stresses the mathematical (Area A) side of the program, and is suited more to students with a solid undergraduate background in mathematics. This option also allows the student more time to explore and develop interests regarding an application topic for Area C.

The Computational Science and Engineering (CSE) option stresses the application area (Area C) and allows more time to develop graduate level proficiency in applicable mathematics (Area A). This option is suited to undergraduate engineering, science, and business students who generally know the application area of their interest, but who desire a slower-paced introduction to the intellectual demands of graduate level mathematics.

Every student is required to have a faculty dissertation advisor (or co-advisors). The primary advisor must be chosen from the CSEM Graduate Studies Committee (GSC) . The student must select an advisor willing to serve as a mentor, supervise the dissertation, and give advice on coursework. A dissertation advisor need not be selected until the end of the second long semester of the student's studies. Prior to the selection of a dissertation advisor, the CSEM Graduate Advisor will appoint a faculty mentor who, along with the Graduate Advisor, will advise the student on coursework and progress in the program.

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The student's overall cumulative grade point average must be 3.25 or better. The student must satisfactorily complete requirements in the three CSEM concentration areas A, B, and C. These requirements include 12 hours of approved graduate level coursework in each area, taken for a grade. The student must achieve a grade point average of 3.25 or better in those courses. Moreover, in one of Areas A, B, or C, the student must achieve a grade point average of 3.5 or better. The student must complete all required coursework by the end of the seventh long semester.

Note: specific course numbers are subject to change

Summary of requirements

  • Taken for a grade
  • Completed by end of 7 th long semester
  • Minimum overall GPA of 3.25 in all coursework
  • Minimum GPA of 3.25 in each Area
  • Minimum GPA of 3.50 in at least one Area
  • At least 6 hours (2 courses) must be listed or cross-listed with Math department
  • Area B — 12 hours (4 courses)
  • Area C — 12 hours (4 courses)

First year sequence

During the first full academic year of the program, the student must complete the following first year sequence, depending on the degree option.

Course requirements: First year sequence

CSE 386C Methods of Applied Mathematics I (Fall) and CSE 386D Methods of Applied Mathematics II (Spring)

CSE 386M Functional Analysis in Theoretical Mechanics (Fall) and CSE 386L Mathematical Methods in Science and Engineering (Spring)

CSE 383C Numerical Analysis: Linear Algebra (Fall) and one of the following – CSE 383L Numerical Analysis: Differential Equations (Spring) – CSE 382M Foundational Techniques of Machine Learning and Data Sciences (Spring)

Same requirements as CAM option

CSE 389C Introduction to Mathematical Modeling in Science and Engineering I (Fall) and CSE 389D Introduction to Mathematical Modeling in Science and Engineering II (Spring)

After completing the first-year sequence, students must complete the following additional coursework by the end of the seventh long semester:

  • Area A : two graduate level courses (6 credit hours) approved by the Graduate Advisor. At least two courses (6 credit hours) of all Area A coursework must be listed or cross-listed with the Mathematics Department.
  • Area B : two graduate level courses (6 credit hours) approved by the Graduate Advisor. If deemed appropriate by the student's advisor and the Graduate Advisor, up to 3 credit hours may be taken at the undergraduate (upper-division) level.
  • Area C : two graduate level courses (6 credit hours) in some application area consistent with the student's proposed research area, approved by both the student's dissertation advisor and the Graduate Advisor. If deemed appropriate by the student's advisor and the Graduate Advisor, up to 3 credit hours may be taken at the undergraduate (upper-division) level.

At the end of the first full academic year, the student is required to demonstrate a graduate level proficiency in CSEM Areas A, B, and C by taking and passing a written preliminary examination in each area. These exams cover the subject material of the first year courses taken by the student.

A student failing any of the preliminary exams will be required by the examining committee to do one of the following:

  • take a make-up exam before the start of the Fall semester
  • repeat that particular exam the following year
  • leave the program

See the preliminary exams page for more info.

The student and dissertation advisor must recommend to the Graduate Advisor a dissertation committee to pose the qualifying exam and evaluate the dissertation. The dissertation committee must consist of the advisor and at least four additional faculty members. The committee must include at least one CSEM Graduate Studies Committee faculty member representing Area A, a second representing Area B, and a third representing Area C, not including the student's advisor. Moreover, at least three of the committee members must represent distinct UT departments through positive time appointment. The Graduate Advisor must approve the composition of the committee. Minimum committee requirements summarized below:

  • CSEM GSC faculty member from Area A
  • CSEM GSC faculty member from Area B
  • CSEM GSC faculty member from Area C
  • Additional faculty member (must NOT be on the CSEM GSC)

Before the end of the sixth long semester, the student must propose research for their PhD dissertation.

The student must write a concise abstract of the dissertation proposal. The abstract must address how each of the three CSEM Concentration Areas A, B, and C will be addressed in, and form an integral part of, the proposed research ( Abstract Guidelines ). The student must meet with each member of his or her dissertation committee to discuss the abstract, the expertise the committee member will contribute to the dissertation, and the background knowledge expected of the student, as well as the types of questions that might be asked at the proposal presentation (see Dissertation Proposal Presentation section below.) The abstract must be signed by each member of the committee. Before the dissertation proposal presentation may be scheduled, this abstract must be submitted to and approved by the Graduate Studies Subcommittee (GSSC.) Submit the abstract in pdf format to the Graduate Coordinator who will make it available to the GSSC for review.

The student must write his or her dissertation proposal and submit it to each member of the dissertation committee, and to the Graduate Coordinator. The format of the proposal must conform to the CSEM PhD Proposal Requirements .

Dissertation Proposal Presentation

Approximately two weeks after submission of the written dissertation proposal, the student is required to give a private, oral presentation of the proposal to his or her dissertation committee. The presentation itself should be about 45 minutes in length. The committee will then examine the student to explore details of the proposal and to test his or her general background knowledge relevant to the proposed research, including the ability to integrate ideas from Areas A, B, and C. The committee will expect somewhat greater depth and breadth in Area A as opposed to Area C for students in the CAM option, and the opposite for students in the CSE option.

Once you have scheduled the proposal presentation, you must notify the Graduate Coordinator of the date, time, and room number.

The student's performance is satisfactory if the committee agrees, with at most one dissenting vote, that the student developed a sufficiently rich, original and interdisciplinary research program and demonstrated competence to complete the proposed research. In the event of an unsatisfactory performance, the committee is charged with explaining to the student the reasons that his or her performance was not satisfactory. The committee may impose requirements on the student, such as requiring changes to the proposal, additional coursework, and/or another presentation to be given within one year.

The Candidacy Checklist outlines the steps for entering candidacy, from the formation of the dissertation committee to the submission of the candidacy application to the Graduate School.

After completing all coursework, preliminary examination, and proposal requirements, the student must submit a Graduate School application for candidacy. The CSEM Graduate Coordinator will send instructions for submitting the application once the student's advisor has confirmed that student has passed the proposal.

Information for scheduling your defense may be found at CSEM Defense Guidelines .

Generally, by the end of the tenth long semester, and definitely before the end of the fourteenth long semester, students must prepare a written dissertation of the results of their research and provide a copy to each member of their PhD dissertation committee and to the Graduate Coordinator. This dissertation must be presented in a seminar of about 45 minutes that is open to the public, and it must be announced publicly to CSEM faculty and students within the Oden Institute. Immediately after the presentation, the student will meet privately with the dissertation committee to face questions and orally defend the work. The dissertation committee will judge whether the dissertation and the oral defense are acceptable.

Both the dissertation and the oral defense must follow appropriate Graduate School requirements and procedures found on the Deadlines and Submission Instructions page.

Each student is expected to regularly attend regularly Oden Institute sponsored seminars. The GSSC will set the number required each semester.

Each student is required to submit an annual progress report of coursework, research activities, and financial support. Students not making satisfactory progress to the degree will be given specific requirements that must be met to return to good standing in the program.

Students failing to satisfy the requirements of the program in a timely manner will be put on probation by the GSSC, and their progress will be monitored closely. The student will remain on probation until satisfactory progress is achieved. A student may remain on probation for a maximum of two long semesters. A student who has been on probation for a total of two long semesters and is found to be out of compliance with the timely requirements of the program will not be allowed to continue in the program.

Students may appeal to or petition the CSEM GSSC for waiver or alteration of any CSEM requirement, except for waiver of an exam or waiver of a Graduate School degree requirement. Written appeals or petitions should be submitted to the GSSC through either the Graduate Advisor or the CSEM Graduate Studies Committee Chair.

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PhD in Computational Sciences and Engineering

The  PhD in CSE  is a highly interdisciplinary program designed to provide students with practical skills and theoretical understandings needed to become leaders in the field of computational science and engineering. The program emphasizes the integration and application of principles from mathematics, science, engineering and computing to create computational models for solving real-world problems. Applicants to the CSE PhD program might want to consider applying to the  FLAMEL program .

Curricular Requirements.  Students are required to complete at least 31 hours of coursework, as follows.

  • CSE 6001 (Introduction to CSE, 1 hour),
  • CSE core courses (12 hours),
  • Computation specialization (9 hours),
  • Application specialization (9 hours).

To complete the core course requirement students must complete four of the five courses making up the core curriculum: CSE/ Math 6643  (Numerical Linear Algebra), CSE 6140 (CSE Algorithms), CSE 6730 (Modeling and Simulation: Fundamentals & Implementation), CSE/ISYE 6740 (Computational Data Analysis), CSE 6220 (High Performance Computing).

The computational specialization includes at least 9 hours of courses that increase the student's depth of understanding of computational methods in a specific area, as approved by the student's academic advisor. These courses must go beyond "using computers" to deepen understanding of computational methods, preferably in the context of some application domain.

The application specialization includes at least 9 hours of courses that increase depth of understanding in an application field; these need not be computation-focused courses. At least nine hours of PhD courses must be courses that do not carry the CS/CSE course designation. Hours taken as part of the computation and/or application specialization can be used to fulfill this requirement.

Math Students.  Students who choose Mathematics as their home unit are required to take at least 9 hours having the MATH course designation (and not cross listed with other departments), and are expected to have a strong background in Mathematics.  

Qualifying Exam.  A written qualifying examination must be attempted by the end of the second year of enrollment in the CSE doctoral program (normally taken after the student completes CSE core coursework). The oral qualifying exam part may be combined with the Oral Comprehensive exam, with the approval of the CSE Math home unit coordinator. If there are concerns with the written qualifying exam (determined by the Math home unit coordinator), the student is required to have a separate oral qualifying exam following the format as CSE. 

Oral Qualifying Exam.  This covers both a computational artifact and the student's specialization area of Applied and Computational Mathematics. The specialization part of the exam follows the Oral Comprehensive Exam format of the Math PhD program. A part of the oral presentation should have a section on computational artifacts. The computational artifact part will follow the same format as for all CSE PhD students.

Doctoral Thesis.  Students are required to complete a doctoral thesis reporting the results of independent research that advance the state-of-the-art in the CSE discipline. The dissertation must be successfully defended to the students dissertation research committee.

For further details, please see the CSE Graduate Student Handbook .

phd in engineering mathematics

ICME celebrates two decades of groundbreaking research, innovation, and academic excellence. 

Join us for ICME’s 20th Anniversary Research Symposium and Celebration Event

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Ask Big Questions, Solve Big Problems

Computational mathematics is at the heart of many engineering and science disciplines

Learn about ICME PhD & MS Programs and How to Apply

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From fundamental to applied

Discover how computational mathematics, data science, scientific computing, and related fields are applied across a wide range of domains.

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ICME faculty and students conduct groundbreaking research, provide consulting, and teach courses in computational mathematics and scientific computing.

The Stanford Research Computing Center (SRCC). Located at SLAC National Accelerator Laboratory

State-of-the-Art Access

From the HANA Immersive Visualization Environment (HIVE) to diverse HPC infrastructure, ICME offers access to advanced technologies and resources for innovation.

Events & Seminars

Applications of computational math in industry (cme 500).

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ICME's 20th Anniversary Research Symposium

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ICME's 20th Anniversary Celebration Event

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Kuhl aims to continue Bio-X’s legacy of facilitating multidisciplinary fundamental research and innovation.

phd in engineering mathematics

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phd in engineering mathematics

March 07, 2024

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A spotlight story about ICME affiliated faculty, associate professor of biomedical data science and biochemistry, Julia Salzman

phd in engineering mathematics

February 27, 2024

The Student Experience

Current Research Alumni

Banner Research Group

A Center of Collaboration

ICME PhD & MS students’ research is diverse and interdisciplinary ranging from bioinformatics, geosciences, computational finance, and more.

Applied Mathematics

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Applied Mathematics is an area of study within the Harvard John A. Paulson School of Engineering and Applied Sciences. Prospective students apply through Harvard Griffin GSAS; in the online application, select  “Engineering and Applied Sciences” as your program choice and select “PhD Applied Math” in the Area of Study menu.

Applied Mathematics at the Harvard John A. Paulson School of Engineering is an interdisciplinary field that focuses on the creation and imaginative use of mathematical concepts to pose and solve problems over the entire gamut of the physical and biomedical sciences and engineering, and increasingly, the social sciences and humanities

Working individually and as part of teams collaborating across the University and beyond, you will partner with faculty to quantitatively describe, predict, design and control phenomena in a range of fields. Projects current and past students have worked on include collaborations with mechanical engineers to uncover some of the fundamental properties of artificial muscle fibers for soft robotics and developing new ways to simulate tens of thousands of bubbles in foamy flows for industrial applications such as food and drug production.

Graduates of the program have gone on to a range of careers in industry in organizations like the Kingdom of Morocco, Meta, and Bloomberg. Others have secured faculty positions at Dartmouth, Imperial College in London, and UCLA.

Standardized Tests

GRE General:  Not accepted

APPLICATION DEADLINE

Questions about the program.

Applied Mathematics and Computational Science

Ph.D. Program

The degree of Doctor of Philosophy in Applied Mathematics and Computational Science is conferred in recognition of marked ability and high attainment in advanced applied and computational mathematics, including the successful completion of a significant original research project. The program typically takes four to five years to complete, although this length may vary depending on the student. Below, we describe the requirements and expectations of the program. All graduate students require a 3.0 GPA to graduate (no exceptions).

Written Preliminary Exam

Upon entry into the Ph.D. program, students are required to take the Written Preliminary Exam, typically scheduled the week before classes start in the Fall semester. The coverage of the exam is in Linear Algebra, Advanced Calculus, Complex Variables, and Probability at the undergraduate level. Details of the exam can be found here: Preliminary Exam Details

The student must pass the exam to continue as a Ph.D. student. The Written Exam is offered in April and August. If the student fails on the first attempt, two more attempts are granted (three attempts total).

Course Requirements

The student must take the following six core courses:

  • Analysis: AMCS 6081/6091 (MATH 6080/6090)
  • Numerical Analysis: AMCS 6025/6035
  • Probability and Stochastic Processes: AMCS 6481/6491 (MATH 6480/6490)

These six core courses are to be completed in the first and second years of graduate studies.

Ten elective courses (a total of 14 courses) are required for graduation. These elective courses should be chosen according to the interests and/or research program of the student and must contain significant mathematical content. Whether a given course can be counted toward AMCS elective course credit will be decided in consultation with the Graduate Chair. Recent courses approved for elective credit can be discussed with your advisor and the Graduate Group Chair.

Deviations from the above may be necessary or recommended depending on the individual student; such decisions are made with the approval of the graduate chair.

Choosing an Advisor

In the first two years of graduate studies, students must choose their thesis advisor. Some students already have an advisor to whom they have committed upon entry to the program. Other students will typically start working with their prospective advisors in the latter half of the first year or the summer between the first and second year.

The purpose of the oral exam is to assess a student’s readiness to transition into full-time research and eventually write his or her dissertation. This exam will be taken by the end of the third year of graduate study.

First, an oral exam committee must be formed, consisting of three faculty members, two of whom must belong to the AMCS graduate faculty. The student must then produce a document of up to about 20 pages describing the research proposal and background material, which is then approved by the oral exam committee before the exam. In the exam, the student will give an oral presentation to the committee. A discussion with the committee follows this. In the oral exam, the committee may ask the student about the presentation as well as about necessary background material as seen fit by the committee. If the student fails this exam, the student will have one more attempt.

Dissertation and Defense

The dissertation must be a substantial original investigation in the field of applied mathematics and computational science, done under the supervision of a faculty advisor. A Ph.D. Thesis Committee consists of at least three faculty members, including the thesis advisor. When the dissertation is complete, it must be defended in a Dissertation Exam, at which the student will be expected to give a short public exposition of the results of the thesis and to satisfactorily answer questions about the thesis and related areas.

Teaching Assistant

Full-time students admitted to our Ph.D. program who are offered a financial support package for four years of study are required to be teaching assistants during the second year. Students for whom English is not their native language are required to pass a test the “Speak Test” (IELTS) demonstrating proficiency in English. More information can be found on the English Language Programs  web page.

https://www.elp.upenn.edu/institute-academic-studies/requirements

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The department has 11 full-time faculty members, plus several more who are affiliated with other departments across McCormick.

Academics Graduate Study

The Department of Engineering Sciences and Applied Mathematics offers two graduate programs in engineering sciences and applied mathematics: a master of science program and a doctoral program. Qualified students with backgrounds in engineering, mathematics, or science are eligible for admission to either program.

Not all of our incoming graduate students have a bachelor of science in math. Many have degrees in engineering or science. The first-year courses are designed in such a way that a common applied math background is formed for all the students, regardless of their undergraduate background.

We offer the following graduate degrees through Northwestern University’s Graduate School:

Faculty Research

The applied mathematics faculty is involved in research that utilizes and invents a variety of mathematical methods associated with asymptotic analysis, bifurcation theory, graph theory, numerical analysis, optimal control, ordinary and partial differential equations, probability and statistics, singular perturbations, stability theory, and stochastic processes.

These methods are employed in the investigation of problems arising in areas
 like biomechanics, fluid mechanics, geophysics, materials science, molecular biology, neurobiology, solid mechanics, statistical mechanics, and wave phenomena, to name a few.

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Department of Engineering Sciences and Applied Mathematics McCormick School of Engineering and Applied Science 2145 Sheridan Road, Room M426 Evanston, IL 60208 Phone: 847-491-3345 Fax: 847-491-2178 Email department Department Linkedin

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We will hold a virtual information event on Zoom for prospective graduate students on Wednesday, November 8, from 3 to 4 PM (Central Time).

phd in engineering mathematics

  • Doing a PhD in Mathematics
  • Doing a PhD

What Does a PhD in Maths Involve?

Maths is a vast subject, both in breadth and in depth. As such, there’s a significant number of different areas you can research as a math student. These areas usually fall into one of three categories: pure mathematics, applied mathematics or statistics. Some examples of topics you can research are:

  • Number theory
  • Numerical analysis
  • String theory
  • Random matrix theory
  • Graph theory
  • Quantum mechanics
  • Statistical forecasting
  • Matroid theory
  • Control theory

Besides this, because maths focuses on addressing interdisciplinary real-world problems, you may work and collaborate with other STEM researchers. For example, your research topic may relate to:

  • Biomechanics and transport processes
  • Evidence-based medicine
  • Fluid dynamics
  • Financial mathematics
  • Machine learning
  • Theoretical and Computational Optimisation

What you do day-to-day will largely depend on your specific research topic. However, you’ll likely:

  • Continually read literature – This will be to help develop your knowledge and identify current gaps in the overall body of knowledge surrounding your research topic.
  • Undertake research specific to your topic – This can include defining ideas, proving theorems and identifying relationships between models.
  • Collect and analyse data – This could comprise developing computational models, running simulations and interpreting forecasts etc.
  • Liaise with others – This could take many forms. For example, you may work shoulder-to-shoulder with individuals from different disciplines supporting your research, e.g. Computer scientists for machine learning-based projects. Alternatively, you may need frequent input from those who supplied the data for your research, e.g. Financial institutions or biological research colleagues.
  • Attend a wide range of lectures, seminars and events.

Browse PhD Opportunities in Mathematics

Application of artificial intelligence to multiphysics problems in materials design, study of the human-vehicle interactions by a high-end dynamic driving simulator, physical layer algorithm design in 6g non-terrestrial communications, machine learning for autonomous robot exploration, detecting subtle but clinically significant cognitive change in an ageing population, how long does it take to get a phd in maths.

The average programme duration for a mathematics PhD in the UK is 3 to 4 years for a full-time studying. Although not all universities offer part-time maths PhD programmes, those that do have a typical programme duration of 5 to 7 years.

Again, although the exact arrangement will depend on the university, most maths doctorates will require you to first register for an MPhil . At the end of your first year, your supervisor will assess your progress to decide whether you should be registered for a PhD.

Additional Learning Modules

Best Universities for Maths PhD UK

Some Mathematics departments will require you to enrol on to taught modules as part of your programme. These are to help improve your knowledge and understanding of broader subjects within your field, for example, Fourier Analysis, Differential Geometry and Riemann Surfaces. Even if taught modules aren’t compulsory in several universities, your supervisor will still encourage you to attend them for your development.

Most UK universities will also have access to specialised mathematical training courses. The most common of these include Pure Mathematics courses hosted by Mathematics Access Grid Conferencing ( MAGIC ) and London Taught Course Centre ( LTCC ) and Statistics courses hosted by Academy for PhD Training in Statistics ( APTS ).

What Are the Typical Entry Requirements for A PhD in Maths?

In the UK, the typical entry requirements for a Maths PhD is an upper second-class (2:1) Master’s degree (or international equivalent) in Mathematics or Statistics [1] .

However, there is some variation on this. From writing, the lowest entry requirement is an upper second-class (2:1) Bachelor’s degree in any math-related subject. The highest entry requirement is a first-class (1st) honours Master’s degree in a Mathematics or Statistics degree only.

It’s worth noting if you’re applying to a position which comes with funding provided directly by the Department, the entry requirements will usually be on the higher side because of their competitiveness.

In terms of English Language requirements, most mathematics departments require at least an overall IELTS (International English Language Testing System) score of 6.5, with no less than 6.0 in each individual subtest.

Tips to Consider when Making Your Application

When applying to any mathematics PhD, you’ll be expected to have a good understanding of both your subject field and the specific research topic you are applying to. To help show this, it’s advisable that you demonstrate recent engagement in your research topic. This could be by describing the significance of a research paper you recently read and outlining which parts interested you the most, and why. Additionally, you can discuss a recent mathematics event you attended and suggest ways in how what you learnt might apply to your research topic.

As with most STEM PhDs, most maths PhD professors prefer you to discuss your application with them directly before putting in a formal application. The benefits of this is two folds. First, you’ll get more information on what their department has to offer. Second, the supervisor can better discover your interest in the project and gauge whether you’d be a suitable candidate. Therefore, we encourage you to contact potential supervisors for positions you’re interested in before making any formal applications.

How Much Does a Maths PhD Typically Cost?

The typical tuition fee for a PhD in Maths in the UK is £4,407 per year for UK/EU students and £20,230 per year for international students. This, alongside the range in tuition fees you can expect, is summarised below:

Note: The above tuition fees are based on 12 UK Universities [1]  for 2020/21 Mathematic PhD positions. The typical fee has been taken as the median value.

In addition to the above, it’s not unheard of for research students to be charged a bench fee. In case you’re unfamiliar with a bench fee, it’s an annual fee additional to your tuition, which covers the cost of specialist equipment or resources associated with your research. This can include the upkeep of supercomputers you may use, training in specialist analysis software, or travelling to conferences. The exact fee will depend on your specific research topic; however, it should be minimal for most mathematic projects.

What Specific Funding Opportunities Are There for A PhD in Mathematics?

Alongside the usual funding opportunities available to all PhD Research students such as doctoral loans, departmental scholarships, there are a few other sources of funding available to math PhD students. Examples of these include:

You can find more information on these funding sources here: DiscoverPhDs funding guide .

What Specific Skills Do You Gain from Doing a PhD in Mathematics?

A doctorate in Mathematics not only demonstrates your commitment to continuous learning, but it also provides you with highly marketable skills. Besides subject-specific skills, you’ll also gain many transferable skills which will prove useful in almost all industries. A sample of these skills is listed below.

  • Logical ability to consider and analyse complex issues,
  • Commitment and persistence towards reaching research goals,
  • Outstanding verbal and written skills,
  • Strong attention to detail,
  • The ability to liaise with others from unique disciple backgrounds and work as part of a team
  • Holistic deduction and reasoning skills,
  • Forming and explaining mathematical and logical solutions to a wide range of real-world problems,
  • Exceptional numeracy skills.

What Jobs Can You Get with A Maths PhD?

Jobs for Maths PhDs - PhD in Mathematics Salary

One of the greatest benefits maths PostDocs will have is the ability to pursue a wide range of career paths. This is because all sciences are built on core principles which, to varying extents, are supported by the core principles of mathematics. As a result, it’s not uncommon to ask students what path they intend to follow after completing their degree and receive entirely different answers. Although not extensive by any means, the most common career paths Math PostDocs take are listed below:

  • Academia – Many individuals teach undergraduate students at the university they studied at or ones they gained ties to during their research. This path is usually the preferred among students who want to continue focusing on mathematical theories and concepts as part of their career.
  • Postdoctoral Researcher – Others continue researching with their University or with an independent organisation. This can be a popular path because of the opportunities it provides in collaborative working, supervising others, undertaking research and attending conferences etc.
  • Finance – Because of their deepened analytical skills, it’s no surprise that many PostDocs choose a career in finance. This involves working for some of the most significant players in the financial district in prime locations including London, Frankfurt and Hong Kong. Specific job titles can include Actuarial, Investment Analyst or Risk Modeller.
  • Computer Programming – Some students whose research involves computational mathematics launch their career as a computer programmer. Due to their background, they’ll typically work on specialised projects which require high levels of understanding on the problem at hand. For example, they may work with physicists and biomedical engineers to develop a software package that supports their more complex research.
  • Data Analyst – Those who enjoy number crunching and developing complex models often go into data analytics. This can involve various niches such as forecasting or optimisation, across various fields such as marketing and weather.

What Are Some of The Typical Employers Who Hire Maths PostDocs?

As mentioned above, there’s a high demand for skilled mathematicians and statisticians across a broad range of sectors. Some typical employers are:

  • Education – All UK and international universities
  • Governments – STFC and Department for Transport
  • Healthcare & Pharmaceuticals – NHS, GSK, Pfizer
  • Finance & Banking – e.g. Barclays Capital, PwC and J. P. Morgan
  • Computing – IBM, Microsoft and Facebook
  • Engineering – Boeing, Shell and Dyson

The above is only a small selection of employers. In reality, mathematic PostDocs can work in almost any industry, assuming the role is numerical-based or data-driven.

Math PhD Employer Logos

How Much Can You Earn with A PhD in Maths?

As a mathematics PhD PostDoc, your earning potential will mostly depend on your chosen career path. Due to the wide range of options, it’s impossible to provide an arbitrary value for the typical salary you can expect.

However, if you pursue one of the below paths or enter their respective industry, you can roughly expect to earn [3] :

Academic Lecturer

  • Approximately £30,000 – £35,000 starting salary
  • Approximately £40,000 with a few years experience
  • Approximately £45,000 – £55,000 with 10 years experience
  • Approximately £60,000 and over with significant experience and a leadership role. Certain academic positions can earn over £80,000 depending on the management duties.

Actuary or Finance

  • Approximately £35,000 starting salary
  • Approximately £45,000 – £55,000 with a few years experience
  • Approximately £70,000 and over with 10 years experience
  • Approximately £180,000 and above with significant experience and a leadership role.

Aerospace or Mechanical Engineering

  • Approximately £28,000 starting salary
  • Approximately £35,000 – £40,000 with a few years experience
  • Approximately £60,000 and over with 10 years experience

Data Analyst

  • Approximately £45,000 – £50,000 with a few years experience
  • Approximately £90,000 and above with significant experience and a leadership role.

Again, we stress that the above are indicative values only. Actual salaries will depend on the specific organisation and position and responsibilities of the individual.

Facts and Statistics About Maths PhD Holders

The below chart provides useful insight into the destination of Math PostDocs after completing their PhD. The most popular career paths from other of highest to lowest is education, information and communication, finance and scientific research, manufacturing and government.

Percentage of Math PostDocs entering an industry upon graduating

Note: The above chart is based on ‘UK Higher Education Leavers’ data [2] between 2012/13 and 2016/17 and contains a data size of 200 PostDocs. The data was obtained from the Higher Education Statistics Agency ( HESA ).

Which Noteworthy People Hold a PhD in Maths?

Alan turing.

Alan_Turing

Alan Turing was a British Mathematician, WW2 code-breaker and arguably the father of computer science. Alongside his lengthy list of achievements, Turning achieved a PhD in Mathematics at Princeton University, New Jersey. His thesis titled ‘Systems of Logic Based on Ordinals’ focused on the concepts of ordinal logic and relative computing; you can read it online here . To this day, Turning pioneering works continues to play a fundamental role in shaping the development of artificial intelligence (AI).

Ruth Lawrence

phd in engineering mathematics

Ruth Lawrence is a famous British–Israeli Mathematician well known within the academic community. Lawrence earned her PhD in Mathematics from Oxford University at the young age of 17! Her work focused on algebraic topology and knot theory; you can read her interesting collection of research papers here . Among her many contributions to Maths, her most notable include the representation of the braid groups, more formally known as Lawrence–Krammer representations.

Emmy Noether

phd in engineering mathematics

Emmy Noether was a German mathematician who received her PhD from the University of Erlangen, Germany. Her research has significantly contributed to both abstract algebra and theoretical physics. Additionally, she proved a groundbreaking theorem important to Albert Einstein’s general theory of relativity. In doing so, her theorem, Noether’s theorem , is regarded as one of the most influential developments in physics.

Other Useful Resources

Institute of Mathematics and its Applications (IMA) – IMA is the UK’s professional body for mathematicians. It contains a wide range of useful information, from the benefits of further education in Maths to details on grants and upcoming events.

Maths Careers – Math Careers is a site associated with IMA that provides a wide range of advice to mathematicians of all ages. It has a section dedicated to undergraduates and graduates and contains a handful of information about progressing into research.

Resources for Graduate Students – Produced by Dr Mak Tomford, this webpage contains an extensive collection of detailed advice for Mathematic PhD students. Although the site uses US terminology in places, don’t let that put you off as this resource will prove incredibly helpful in both applying to and undertaking your PhD.

Student Interviews – Still wondering whether a PhD is for you? If so, our collection of PhD interviews would be a great place to get an insider perspective. We’ve interviewed a wide range of PhD students across the UK to find out what doing a PhD is like, how it’s helped them and what advice they have for other prospective students who may be thinking of applying to one. You can read our insightful collection of interviews here .

[1] Universities used to determine the typical (median) and range of entry requirements and tuition fees for 2020/21 Mathematics PhD positions.

  • http://www.lse.ac.uk/study-at-lse/Graduate/Degree-programmes-2020/MPhilPhD-Mathematics
  • https://www.ox.ac.uk/admissions/graduate/courses/dphil-mathematics?wssl=1
  • https://www.graduate.study.cam.ac.uk/courses/directory/mapmpdpms
  • https://www.ucl.ac.uk/prospective-students/graduate/research-degrees/mathematics-mphil-phd
  • http://www.bristol.ac.uk/study/postgraduate/2020/sci/phd-mathematics/
  • https://www.surrey.ac.uk/postgraduate/mathematics-phd
  • https://www.maths.ed.ac.uk/school-of-mathematics/studying-here/pgr/phd-application
  • https://www.lancaster.ac.uk/study/postgraduate/postgraduate-courses/mathematics-phd/
  • https://www.sussex.ac.uk/study/phd/degrees/mathematics-phd
  • https://www.manchester.ac.uk/study/postgraduate-research/programmes/list/05325/phd-pure-mathematics/
  • https://warwick.ac.uk/study/postgraduate/research/courses-2020/mathematicsphd/
  • https://www.exeter.ac.uk/pg-research/degrees/mathematics/

[2] Higher Education Leavers Statistics: UK, 2016/17 – Outcomes by subject studied – https://www.hesa.ac.uk/news/28-06-2018/sfr250-higher-education-leaver-statistics-subjects

[3] Typical salaries have been extracted from a combination of the below resources. It should be noted that although every effort has been made to keep the reported salaries as relevant to Math PostDocs as possible (i.e. filtering for positions which specify a PhD qualification as one of their requirements/preferences), small inaccuracies may exist due to data availability.

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Degree Designation

In accordance with an agreement between CGU and CSULB, the degree is designated the  Doctorate of Philosophy in Engineering and Computational Mathematics  and is granted at Claremont Graduate University in the name of the two universities. The diploma indicates the dual nature of the degree and specifies that it is granted only when requirements have been satisfied in both subject areas as specified by the collaborating institutions.​

Program Supervision

Overall program supervision is the responsibility of the Program Committee , consisting of the directors of the Joint Doctoral Program (JDP) from each institution, the Dean of Mathematics at CGU, and the Dean of Engineering at CSULB.

Admission Requirements

Students must be admitted to both institutions jointly. Admission will be granted to a limited number of qualified students; therefore, application should be made as early as possible. Applications from underrepresented minorities are encouraged. Completed applications must be received by  April 15 for the fall semester  or  October 1 for the spring semester , although late applications are allowed at the discretion of the Program Committee. The Program Committee is responsible for making admission decisions consistent with campus regulations (see Application Procedure in this booklet).

To be admitted to the Joint Doctoral Program, an applicant must have received a bachelor’s or master’s degree in science, engineering, or mathematics from an accredited institution. Moreover, he or she must have attained scholastic records and present confidential recommendations, which indicate that he or she is well qualified to pursue, with distinction, advanced study and research. Be advised that admission may be refused solely on the basis of limited facilities in the option desired.

GRE Requirement

The analytical, verbal, and quantitative portion of the Graduate Record Examination (GRE) is required before admission. GRE subject examinations (mathematics and engineering) are not required. Applicants whose first or native language is  not  English are required to have a  current  minimum score of 80 ibt on the  Test of English as a Foreign Language  (TOEFL); however, this requirement is waived for students with a bachelor’s or master’s degree from an accredited U. S. university.

Registration and Enrollment

It is important that students register and enroll in classes each semester at either CGU or CSULB. Failure to enroll at any given semester will be considered leave without permission (discontinued enrollment) and the student will be dropped from the program.

Program Planning and Supervision

At CSULB, an initial engineering advisor is assigned to the student at the time of admission. At CGU, the student needs to arrange with the program director, within the first semester of study, for a mathematics advisor. The student’s program of study is arranged individually in collaboration with their advisors; the two advisors confer periodically regarding the student’s progress. The Program Committee monitors the student’s overall performance.

Course Work and Examinations

A minimum 72 units of course work, independent study, and research (including transfer credit) must be completed. Transfer credit of up to 24 units of related courses at the master’s level is permissible on approval of the Program Committee; this course work must have been completed with at least a grade of B or above, at an accredited institution, and must be directly related to the joint program and the student’s goals. Of the 72 units, a minimum of 24 units must be completed in the graduate engineering program at CSULB and a minimum of 24 units in the graduate mathematics program at CGU. Both sets of 24 units must conform to the area requirements of the relevant institution and  must be approved by the Program Committee .  All degree requirements must be completed within seven years (or six with the transfer of 24 units according to CGU regulations) from the time a student begins doctoral study.

Every doctoral student must maintain a minimum cumulative grade-point average (GPA) of 3.0. Students are put on academic probation if they fail to maintain a cumulative or term GPA of at least 3.0 in all units attempted subsequent to admission to the degree program.  After two consecutive semesters on probation, students are subject to disqualification if they fail to earn sufficient grade-points to be removed from the probationary status.

CSULB Minimum Course Requirement

The following three courses (12 units) are required at CSULB to meet the 24-unit course requirement:

  • ENGR 795 - Advanced Directed Studies (4 units)
  • ENGR 796 - Doctoral Seminar (2 units)
  • ENGR 798 - Doctoral Dissertation (1 - 6 units)

Note: Students are required to take 6 units of ENGR 798.

The remaining 12 units of course work for students who have received transfer credit, may include ENGR 790 (Selected Topics in Engineering) and other advanced graduate courses relevant to the student’s program of study.

Minimum Student Load Per Semester

It is highly recommended that doctoral students enroll in at least 9.0 units per semester in order to demonstrate progress towards the degree. The CSULB director of the program, in consultation with the doctoral advisor, may require that a student take at least 9.0 units per semester if the student is not showing adequate progress.

These courses may include the following:

  • ENGR 797A - Preparation for Ph.D. Preliminary Examinations (4-12 units)
  • ENGR 797B - Preparation for Ph.D. Qualifying Examination (4-12 units)
  • ENGR 797C - Research for Ph.D. Dissertation (4-12 units)

Residency Requirements

Doctoral students must complete their program within a period of seven years (or six with the transfer of 24 units) according to CGU regulations (see below). During this time, a minimum of 72 units of course work, independent study, and research (including transfer credit) must be completed. Normally no more than 16 units per semester may be credited toward the degree. No more than 12 units per summer session may be credited toward the degree. The transfer of credit form is available on  the CGU website. The Program Committee will consider petitions for extensions and/or exemptions.

All degree requirements must be completed within seven years from the time a student begins graduate study. Work for which transfer credit is  granted will be counted as part of the seven years, e.g., if transfer credit of 24 units (one year) is granted, the time limit will be six years.

The residency requirements for the Ph.D. may be met either by two semesters of full-time study in a 24-month period or by the completion of 48 units of course work within a 48-month period (including work in the summer session). There are special provisions for students transferring units as described below.

Students who receive transfer credit for 12 units or less may meet the residency requirement either by completing two full-time semesters of course work within a 24-month period or by completing 36 units within a 48-month period. Those receiving transfer credit for 13 to 24 units may meet the residency requirement by completing 24 units within a 36-month period. The seven-year maximum time period for the Ph.D. degree is reduced by six months for 12 units or less of transfer credit and by 12 months for 13 to 24 units of transfer credit.

Plan of Study

After consultation with their advisors, students are  required  before the end of the second semester, to prepare and file with the Program Committee a Plan of Study (see page 14) for completing the course requirements for the degree. The purpose of the Plan of Study is to ensure that the student is aware of the requirements for the degree. The Plan of Study should indicate the areas of study that the student will be taking in preparation for the preliminary examinations. In consultation with the student’s advisor and Program Committee, the Plan of Study may be altered at a subsequent time by petition.

If a student withdraws from the program after completing a substantial portion of the course work, a master’s degree at either or both institutions is still possible by satisfaction of the appropriate requirements. Both CGU and CSULB require 30-36 semester units of course work that include culminating experiences for master’s degrees.

Preliminary Examinations

The student is required to pass written preliminary examinations. These examinations consist of two examination areas:  one in engineering  and  one in mathematics . These examinations are usually taken after completion of the relevant course work at each institution. These examinations are given two or three times a year at the discretion and under the control of the Program Committee. Should a student fail an examination, they may petition the Program Committee for one retake.

Before taking the first preliminary examination, the student  is required  to complete the Preliminary Examination Permission Form (available at the CSULB College of Engineering website , and see page 15). This form requires the student to specify the core areas of the Preliminary Examination; the student’s intended dissertation advisor and the directors of the Joint Doctoral Program must sign the form. The purpose of this form is to certify that the student and dissertation advisor are in agreement on the set of examinations. If, in the course of time, this set of examinations and/or the advisor is amended, the form must be resubmitted. The preliminary examinations are considered completed when the two examinations specified on the student’s form have been successfully passed.

You must be enrolled at CSULB in order to take the CSULB portion of the Preliminary Examinations.

With regard to the preliminary exams taken at CGU, the following conditions apply.   If a student fails or forfeits his/her second attempt at a preliminary exam, he/she may submit a petition to the IMS Director, asking for permission to change the preliminary exam subject to a new one. The petition should provide a valid reason for allowing such a change.

Before deciding on the petition, the IMS Director will consult the student’s academic and/or research advisors, the professor who administered the current preliminary exam and the corresponding Program Director(s). Students may be granted such a permission at most once while in the Ph.D. program.

Failure to successfully complete the preliminary examination requirement results in dismissal from the Ph.D. program. Therefore, dismissal from the Ph.D. program results from any one of the following:

  • For either CGU or CSULB, the student fails preliminary examination in the same subject.
  • For CGU, the student’s first attempt at a preliminary examination results in failure, followed by a petition granted to take a preliminary exam in a different subject, followed by failure of that exam.

CGU Institute of Mathematical Sciences Course Requirement:

The following three core courses (12 units) are required at CGU to meet the 24-unit course requirement (letter grade B- or better should be received for each  course):

  • Methods of Applied Mathematics (Math 294)
  • Continuous Modeling (Math 388)
  • Numerical Methods for Matrix Computations (Math 368)

The remaining 12 units of course work should be chosen after consulting their adviser, they may include no more than two terms of an industrial clinic or independent  study.

CGU Institute of Mathematical Sciences Preliminary Examinations

The CGU IMS Preliminary examination is based on the three core classes stated above. It is recommended students take a preliminary exam soon after completing the required course(s). Preliminary exam is administrated twice per year.

CSULB College of Engineering Preliminary Examinations

The College of Engineering requires a minimum of  three graduate courses  (graded B or above) as a basis for each Preliminary Examination. With the consent of their dissertation advisor, students select  three topics from the list provided by the faculty advisor . The list should be approved by the CSULB director of Joint Doctoral Program.

Research Tool

Students in the Joint Doctoral Program must demonstrate proficiency in problem-solving ability using computer programs. This demonstration may take different forms depending on the student’s engineering sub-discipline, but must include evidence that the student has used an appropriate computer language and an algorithmic method to solve a problem from an engineering discipline.

Research and Dissertation

Upon completion of at least 48 units of course work (including transfer units), the preliminary examinations, and the research tool requirement, a student embarks on the research phase of the Joint Doctoral Program. In preparation for the research phase, the student is expected to spend at least a semester in advanced graduate courses, seminars, or directed reading courses where exposure to research material is emphasized. From these and other sources, the student gains the ability to understand the motivation for research in engineering and computational mathematics and learns to apply research techniques.

Doctoral Committee

During entry to the program and through the period of the main body of course work at CGU and CSULB, the Program Committee will monitor the student’s progress. Upon successful completion of the preliminary examinations, the student petitions the Program Committee to constitute the Doctoral Committee. The student chooses this committee with advice from the faculty advisor and with approval of the Program Committee. The committee must include at least two faculty members each from CGU and CSULB ; it must also provide breadth and depth in mathematics and engineering in the chosen faculty members. The Doctoral Committee supervises the student’s progress through research preparation and dissertation writing; it also administers the qualifying and oral examinations for the degree. The chair of the Doctoral Committee is the dissertation supervisor.

Research Proposal and Qualifying Examination

With these advanced courses as background, and with the guidance of the Doctoral Committee, the student defines an area of proposed research and prepares a written Dissertation Proposal containing an outline of the research to be undertaken and references to relevant source materials. The Dissertation Proposal is presented to the Doctoral Committee at least two weeks prior to the Qualifying Examination. The appropriate form under “Doctoral Degree Forms” can be obtained from the CGU website www.cgu.edu (under Current Students, Registrar Information). The Qualifying Examination is an oral presentation to the Doctoral Committee describing the planned research. The student is expected to present evidence both as to the mathematical content and to the engineering application of the proposed research, supporting such evidence with references to previous research in both areas. The Doctoral Committee judges the fitness and quality of the Dissertation Proposal from  this presentation and from the written proposal. It subsequently communicates its recommendations to the Program Committee. Only upon a positive recommendation may the student embark on a dissertation. In the event of failure, the qualifying examination may be retaken once after petition to the Program Committee.

Advancement to Candidacy

After successful completion of the Qualifying Examination and certification that all other requirements are fulfilled, the student is advanced to candidacy. The appropriate form under “Doctoral Degree Forms” may be obtained from the CGU website. This must occur at least six months before the Final Oral Defense.

Dissertation and Final Oral Examination

Upon completion of the research, the student will prepare the dissertation in accordance with CGU regulations. A final draft of the dissertation will be presented to each member of the Doctoral Committee at least three weeks prior to the final oral examination. The appropriate form under “Doctoral Degree Forms,” along with an abstract of the dissertation, must be filed with CGU’s Office of Admission and Records three weeks before the exam. This deadline is very strict and no exceptions will be made. Please see the CGU website under “Academic Calendar” for the final defense scheduling dates. The oral defense will normally be held on the campus of the dissertation supervisor.

Policies and Procedures

Throughout their entire program of study, unit-taking students must be registered at  either  CGU or CSULB. Students, who intend not to take course work at either institution, including those who have finished their required units, must take the necessary steps to maintain continuous enrollment.  This is achieved by registering for Math 499 (Doctoral Study) at Claremont Graduate University or by registering for Engineering 798 (Doctoral Dissertation) at California State University, Long Beach.  At least two semesters of registration for Math 499 at CGU must be maintained during the last year prior to graduation.  In order for the degree to be conferred, a student must meet all regulations as stated in the CGU Bulletin under “Degree Regulations.” Requests for  leave of absence  must be submitted to each registrar’s office and approved by both institutions according to the standards of each; upon approval of leave the student should advise the math office at CGU and the office of the Joint Doctoral Program at CSULB. Students should contact each registrar’s office for leave of absence policies. If the student fails to advise the registrar at CGU of his/her leave granted by CSULB, he/she will be dropped from the program (CGU has no official arrangement for leaves). Upon return, the student will be required to pay CGU a reinstatement fee in addition to regular semester tuition.

International students registered for units at CSULB must provide the CGU International Student Advisor, Ariel Carpenter, with proof of registration within two weeks of the beginning of the semester at CGU. Proof of full-time registration (8 units minimum) is required to maintain immigration status. (In the circumstance of completion of units, registration in Doctoral Study, CGU Math 499, is required.)

Students should arrange for advisors, one in math at CGU and one in engineering at CSULB, at the earliest opportunity. The program committee will help provide advisors.

After consultation with their advisors, students must submit a plan of study, including a petition for transfer of credits, if applicable, during their first year of study. The Plan of Study must be approved and transfer of units recommended to the Registrar by the program committee.

Procedures for Student Admission

  • Students must complete online application forms at  both  CGU and CSULB. The application materials that include official transcripts, three letters of reference (preferably on the forms supplied in the CGU package), a personal statement and a resume, and test scores must be sent to both institutions. Current, official GRE scores are required. Scores may not be older than 5 years. For CGU, you can apply here:   https://admissions.cgu.edu/apply/ .   For CSULB, you can apply here:  https://www2.calstate.edu/apply.  
  • The CGU director of the CSULB/CGU Joint Doctoral Program, Marina Chugunova, reviews completed files. In the event of a negative review, a rejection letter is issued by CGU. In the event of a positive review, the application, along with a copy of the completed file, is forwarded to the CSULB director of the CSULB/CGU Joint Doctoral Program, Dr. Hamid Rahai.  
  • Results of the Long Beach review are transmitted back to CGU Math. Upon a positive review by CSULB, the application and fee are sent to the CSULB Admissions Office to be processed. A negative review initiates a rejection letter from CGU.  
  • Upon admission to the program, CGU will generate two admission letters; one is mailed to the student and one is sent to CSULB. This letter includes a decision card and specifies a required $300 tuition deposit that should be submitted to CGU if the student chooses to accept the offer of admission.  
  • Students admitted to  provisional status  must provide the materials needed to complete their files before the end of their first semester of enrollment. Official scores for the GRE General Test are required of all students before admission to full graduate standing. The joint faculty program committee will review completed files for change of status.

Politecnico di Milano

PhD program on

Mathematical models and methods in engineering.

Politecnico di Milano Dipartimento di Matematica

  • Graduate Faculty
  • Research Groups
  • PhD Courses
  • Call for applications

The Department of Mathematics of the Politecnico di Milano is hosting a PhD program in Mathematical Models and Methods in Engineering, aiming at training high level researchers in advanced areas of Pure and Applied Mathematics. The teaching activities include a broad range of possibilities designed for the PhD program. As a successful approach to practical applications depends on a deep understanding of real-world phenomena and knowledge of mathematical tools for their description and design, both modelling, methodological and theoretical aspects are included. Courses are offered in various areas of mathematics, and may vary every year.

Geometrindi e Matematindi (Luigi Serafini 2002)

Geometrindi e Matematindi (Luigi Serafini 2002)

Numerical simulation of blood flow in the heart (courtesy of Prof. Alfio Quarteroni)

Numerical simulation of blood flow in the heart (courtesy of Prof. Alfio Quarteroni)

The development of advanced technologies in Science and Engineering brings an increasing demand of advanced mathematical theories and methods, which in turn fosters the demand for education and training of skilled mathematicians in pure and applied research. The main scope of the Ph.D. course “Mathematical Models and Methods in Engineering” is to train high-level researchers in various fields of pure and applied mathematics.

Expected professional placements for Ph.D. doctorates are: academic research in Italian or International Universities and Research Institutions, R & D divisions of private companies, study and research centers of public Agencies, financial and insurance Institutions.

logo matematica

  • Elodie Pozzi
  • St. Louis University, USA
  • Some Examples of Persistence of Superoscillations
  • Aula Seminari - III Piano
  • Abstract When combining N bandlimited functions with low frequencies and allowing N to approach infinity, one would typically anticipate obtaining a function with low frequency. However, for certain bandlimited functions with low frequency, the resulting function exhibits high frequencies. Such functions are termed superoscillating functions, and the phenomenon described is known as super oscillation. In this presentation, we will delve into the behavior of superoscillating functions under the time-dependent Schrödinger equation and its variations. Specifically, we will explore existing methods for demonstrating the persistence of superoscillations, applying them to illustrate the persistence of superoscillations under certain partial differential equations. Our focus will be on the Schrödinger equation governing spin particles and the Schrödinger equation pertaining to the Aharonov-Bohm effect. It is based on joint works with Fabrizio Colombo, Irene Sabadini and Brett D. Wick. This initiative is part of the "PhD Lectures" activity of the project "Departments of Excellence 2023-2027" of the Department of Mathematics of Politecnico di Milano. This activity consists of seminars open to PhD students, followed by meetings with the speaker to discuss and go into detail on the topics presented at the talk.

Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568

  • MOX Seminar
  • Michele Benzi
  • Scuola Normale Superiore, Pisa
  • Revisiting the Augmented Lagrangian Approach to Saddle-Point Problems
  • Online (trasmesso anche in aula Saleri)
  • Abstract Augmented Lagrangian (AL) methods have a long history in both optimization and numerical PDEs, going back to the work of Powell and Hestenes in the late 1960s and to the work of Glowinski and collaborators starting in the mid-1970s, respectively. Whereas AL-type methods have been long very popular in the field of constrained optimization, where are among the most widely used techniques available (as witnessed, for instance, by the great success enjoyed by methods like ADMM), the track record of these methods in solving PDE-related problems has been until recently somewhat less impressive, due in part to ill-conditioning and implementation difficulties. In this talk I will describe advances in developing robust and scalable solvers for PDE-related saddle point problems by means of iterative methods and block preconditioners tailored to the AL formulation. The effectiveness of these solvers will be demonstrated on problems from incompressible flow (Oseen problem, coupled Stokes-Darcy problem), liquid crystal directors modeling, and optimal control with PDE constraints. Collaborators over the years include Fatemeh Beik, Chiara Faccio, Patrick Farrell, Santolo Leveque, Maxim Olshanskii and Zhen Wang. Contatto: [email protected]
  • Giovanni Cupini
  • Università di Bologna
  • The Leray-Lions existence theorem under (p,q)-growth conditions
  • Abstract In this talk I will describe recent results obtained in collaboration with P. Marcellini and E. Mascolo. In particular, we proved an existence result of weak solutions to a Dirichlet problem associated to second order elliptic equations in divergence form satisfying (p,q)-growth conditions. This is a first attempt to extend to (p,q)-growth the well known Leray-Lions existence theorem, which holds under the so-called natural growth conditions. Our existence result is obtained "via regularity", i.e., by using new local regularity results (boundedness, Lipschitz continuity and higher differentiability) for the weak solutions of the associated equation.
  • Barbara Guardabascio
  • Università Perugia
  • Climate and environmental attention: a news-based composite indicator
  • Politecnico di Milano Aula IV (accanto aula Rogers)
  • Abstract The way people perceive the risks associated with climate change is influenced by scientific research, social awareness, and by media representation Boykoff [2011]. The effects of perception of climate risk extend beyond Environmental concerns and permeate decision-making processes in both economic and social policy. We believe that a composite index to measure climate attention, if well-constructed and robust, can provide valuable insights for policymakers and serve as a leading indicator in macroeconomic and financial analysis [Luxon, 2019]. The composite indicator proposed in this article is based on a novel methodology that evaluates the semantic relevance, and not the favorability, of selected keywords, each of them provided with a semantic score, based both on the number of appearances and on the interconnectedness with other words in the text corpus. Finally, the Benefit of the Doubt (BoD) aggregation strategy is adopted that takes advantage of a time-varying optimal weighting scheme. The index is compared to alternative approaches.
  • Viola Schiaffonati
  • Politecnico di Milano
  • L'etica dell'intelligenza artificiale fra vecchi problemi e nuove sfide
  • Aula Rogers e in collegamento webex su tiny.cc/mathseminars
  • Elena Danesi
  • Università di Padova
  • Strichartz estimates for the Dirac equation on compact manifolds without boundary
  • Aula seminari - III piano
  • Abstract The Dirac equation on Rn can be listed within the class of dispersive equations, together with, e.g., the wave and Klein-Gordon equations. In the years a lot of tools have been developed in order to quantify the dispersion of a system. Among these one finds the Strichartz estimates, that are a priori estimates of the solutions in mixed Lebesgue spaces. For the flat case Rn they are known, as they are derived from the ones that hold for the wave and Klein-Gordon equations. However, when passing to a curved spacetime domain, very few results are present in the literature. In this talk I will firstly introduce the Dirac equation on curved domains. Then, I will discuss the validity of this kind of estimates in the case of Dirac equations on compact Riemannian manifolds without boundary. This is based on a joint work with Federico Cacciafesta (Università di Padova) and Long Meng (CERMICS-École des ponts ParisTech).
  • TAIR Meeting on tomography and applications discrete tomography, neuroscience and image reconstruction 18th edition
  • organizers Paolo Dulio - Politecnico Milano, Paolo Finotelli – Université de Caen Normandie, Andrea Frosini - Universita' Firenze, Silvia Pagani - Universita' Cattolica,
  • The aim of the Meeting is to share interdisciplinary aspects between the experimental and the mathematical research concerning image reconstruction, with a special focus on tomography and neuroscience
  • Monday, 6 May 2024 - Wednesday, 8 May 2024 Mathematics Department - 7th floor
  • GHiSP The geometry of hilbert schemes of points
  • organizers Michele Graffeo (SISSA), Paolo Lella (Polimi), Sergej Monavari (EPFL), Andrea T. Ricolfi (SISSA), Alessio Sammartano (Polimi)
  • The Hilbert scheme is a classically studied moduli space, which parametrises closed subschemes with prescribed Hilbert polynomial in an ambient projective scheme. These moduli spaces where initially introduced by Grothendieck, but turned out to have a prominent rôle in many modern areas outside the realm of Algebraic Geometry: Mathematical Physics, Combinatorics, Theoretical Physics (just to mention some recent examples). Generalisations of the Hilbert scheme have a wide range of applications as well, such as nested Hilbert schemes (parametrising flags of closed subschemes), moduli spaces of framed sheaves and Quot schemes (parametrising quotient sheaves). The easiest example one can consider is the Hilbert scheme of points, which parametrises closed zero-dimensional subschemes of fixed length. Already in this case, the geometry of the moduli space is rich and intriguing, as it is in general considerably pathological. For instance, if the dimension of the ambient variety is 3, the Hilbert scheme of points is in general reducible, and for dimension larger than 4 its singularities can be as bad as possible. Hilbert schemes (and their generalisation) played an important role in the development of modern Enumerative Geometry. In fact, for a large and interesting class of cases, the Hilbert scheme of points is not smooth but carries a virtual fundamental class. Donaldson-Thomas theory deals precisely with the (virtual) invariants one can compute on the Hilbert schemes with respect to its virtual structure. Donaldson-Thomas theory is very rich and admits several layers of refinements, for example: cohomological, K-theoretical, elliptic, categorical, motivic and is predicted to match Gromov-Witten invariants. SPEAKERS Alessandra Bernardi, Gergely Bérczi, Nadir Fasola, Anthony Iarrobino, Joachim Jelisiejew, Tomasz Mandziuk, Cristina Manolache, Alina Marian, Rosa Maria Miro-Roig, Andrei Negut, Ritvik Ramkumar, Ilaria Rossinelli, Reinier F. Schmiermann, Roy Skjelnes
  • Monday, 6 May 2024 - Friday, 10 May 2024 BellaVista Relax Hotel, Levico Terme (TN), Italy
  • Annalisa Panati
  • Università di Tolone
  • Fisica a teatro: lo strano caso di Wolfgang Pauli
  • Paolo Cremonesi
  • La magia dei Computer Quantistici
  • Aula T12 e in collegamento webex su tiny.cc/mathseminars
  • Perspectives in pdes, global and functional analysis
  • organizers Matteo Bonforte (Universidad Autónoma de Madrid, Spain) Matteo Muratori (Politecnico di Milano, Italy) Fabio Punzo (Politecnico di Milano, Italy) Alberto Setti (Università degli Studi dell'Insubria, Italy)
  • This workshop aims at bringing together world experts from Analysis and Geometry, with a particular accent on the broad field of Partial Differential Equations and their applications. In particular, the main topics addressed lie at the interface between Global Analysis, Functional Analysis, Geometric Analysis and Differential Geometry. The meeting is held on the special occasion given by the 60th birthday of Gabriele Grillo, Professor of Mathematical Analysis at Politecnico di Milano since 2009.
  • Wednesday, 5 June 2024 - Friday, 7 June 2024 Università degli Studi dell'Insubria - Sede di Sant'Abbondio a Como
  • Patrick Vega
  • Universidad de Santiago de Chile
  • An adaptive superconvergent mixed finite element method based on local residual minimization
  • Aula Saleri
  • Abstract We introduce an adaptive superconvergent finite element method for a class of mixed formulations to solve partial differential equations involving a diffusion term. It combines a superconvergent postprocessing technique for the primal variable with an adaptive finite element method via residual minimization. Such a residual minimization procedure is performed on a local postprocessing scheme, commonly used in the context of mixed finite element methods. Given the local nature of that approach, the underlying saddle point problems associated with residual minimizations can be solved with minimal computational effort. We propose and study a posteriori error estimators, including the built-in residual representative associated with residual minimization schemes; and an improved estimator that adds, on the one hand, a residual term quantifying the mismatch between discrete fluxes and, on the other hand, the interelement jumps of the postprocessed solution. We present numerical experiments in two dimensions using Brezzi-Douglas-Marini elements as input for our methodology. The experiments perfectly fit our key theoretical findings and suggest that our estimates are sharp. Contatto: [email protected]
  • MOX Colloquia

Jay Gopalakrishnan

  • Portland State University
  • From scalar to tensor finite elements
  • Aula Consiglio VII piano - Dipartimento di Matematica
  • Abstract In the history of finite elements, the earliest Lagrange finite elements, consisted of scalar-valued functions. To approximate fluxes, vector-valued finite elements with continuous normal (n) components across element interfaces, or n-continuous elements, were developed later. The finite element toolkit was then supplemented by t-continuous vector-valued Nedelec elements with continuous tangential (t) components, now routinely used for Maxwell equations. Although these elements were developed separately, today we understand them together as fitting into a cochain subcomplex of a de Rham complex of Sobolev spaces. Other tensor-valued finite elements are now being viewed with increasing interest and they form the main subject of this talk. The earliest of these consists of matrix-valued functions whose normal-normal (nn) component varies continuously across element interfaces: these are the nn-continuous matrix fields of the Hellan-Herrmann-Johnson element. More recently, nt-continuous matrix-valued finite elements were developed to approximate viscous stress in incompressible flows: they have continuous shear, or normal-tangential (nt) components. To add to this picture, matrix-valued elements with continuous tangential-tangential (tt) components, called Regge elements, are finding increasing utility: they are key to approximating the metric tensor of Riemannian manifolds. This talk delves into the details of these developments. How does one connect these disparate developments with nn-, nt-, and tt-continuous matrix finite elements? This does not appear to be as easy as the previous synthesis of vector-valued elements by the de Rham complex. The spaces in de Rham complexes are connected by fundamental first-order differential operators (grad, curl, and div in three dimensions), all derived from a single definition of the exterior derivative. In contrast, what is natural for the above-mentioned tensor finite elements are other second-order differential operators. We conclude grazing the frontiers of our understanding on potentially unifying connections. This initiative is part of the “Ph.D. Lectures” activity of the project "Departments of Excellence 2023-2027" of the Department of Mathematics of Politecnico di Milano. This activity consists of seminars open to Ph.D. students, followed by meetings with the speaker to discuss and go into detail on the topics presented at the talk. Contatti: [email protected] [email protected] [email protected]

Jay Gopalakrishnan

Marc G. Genton

  • King Abdullah University of Science and Technology (KAUST), Saudi Arabia
  • Exascale Geostatistics for Environmental Data Science
  • Abstract Environmental data science relies on some fundamental problems such as: 1) Spatial Gaussian likelihood inference; 2) Spatial kriging; 3) Gaussian random field simulations; 4) Multivariate Gaussian probabilities; and 5) Robust inference for spatial data. These problems develop into very challenging tasks when the number of spatial locations grows large. Moreover, they are the cornerstone of more sophisticated procedures involving non-Gaussian distributions, multivariate random fields, or space-time processes. Parallel computing becomes necessary for avoiding computational and memory restrictions associated with large-scale environmental data science applications. In this talk, I will explain how high-performance computing can provide solutions to the aforementioned problems using tile-based linear algebra, tile low-rank approximations, as well as multi- and mixed-precision computational statistics. I will introduce ExaGeoStat, and its R version ExaGeoStatR, a powerful software that can perform exascale (10^18 flops/s) geostatistics by exploiting the power of existing parallel computing hardware systems, such as shared-memory, possibly equipped with GPUs, and distributed-memory systems, i.e., supercomputers. I will then describe how ExaGeoStat can be used to design competitions on spatial statistics for large datasets and to benchmark new methods developed by statisticians and data scientists for large-scale environmental data science. Contatti: [email protected]

Marc G. Genton

Klaus-Robert Müller

  • Technische Universität Berlin
  • Machine Learning and AI for the Sciences: toward understanding
  • Aula Consiglio VII piano
  • Abstract In recent years, machine learning (ML) and artificial intelligence (AI) methods have begun to play a more and more enabling role in the sciences and in industry. In particular, the advent of large and/or complex data corpora has given rise to new technological challenges and possibilities. In his talk, Müller will touch upon the topic of ML applications in the sciences, in particular in chemistry and physics. He will also discuss possibilities for extracting information from machine learning models to further our understanding by explaining nonlinear ML models. Finally, Müller will briefly discuss perspectives and limitations.

Klaus-Robert Müller

  • Archive of PhD Theses

AIM

Overview of the PhD Program

For specific information on the Applied Mathematics PhD program, see the navigation links to the right. 

What follows on this page is an overview of all Ph.D. programs at the School; additional information and guidance can be found on the  Graduate Policies  pages. 

General Ph.D. Requirements

  • 10 semester-long graduate courses, including at least 8 disciplinary.   At least 5 of the 10 should be graduate-level SEAS "technical" courses (or FAS graduate-level technical courses taught by SEAS faculty), not including seminar/reading/project courses.  Undergraduate-level courses cannot be used.  For details on course requirements, see the school's overall PhD course requirements  and the individual program pages linked therein.
  • Program Plan (i.e., the set of courses to be used towards the degree) approval by the  Committee on Higher Degrees  (CHD).
  • Minimum full-time academic residency of two years .
  • Serve as a Teaching Fellow (TF) in one semester of the second year.
  • Oral Qualifying Examination Preparation in the major field is evaluated in an oral examination by a qualifying committee. The examination has the dual purpose of verifying the adequacy of the student's preparation for undertaking research in a chosen field and of assessing the student's ability to synthesize knowledge already acquired. For details on arranging your Qualifying Exam, see the exam policies and the individual program pages linked therein.
  • Committee Meetings : PhD students' research committees meet according to the guidelines in each area's "Committee Meetings" listing.  For details see the "G3+ Committee Meetings" section of the Policies of the CHD  and the individual program pages linked therein.
  • Final Oral Examination (Defense) This public examination devoted to the field of the dissertation is conducted by the student's research committee. It includes, but is not restricted to, a defense of the dissertation itself.  For details of arranging your final oral exam see the  Ph.D. Timeline  page.
  • Dissertation Upon successful completion of the qualifying examination, a committee chaired by the research supervisor is constituted to oversee the dissertation research. The dissertation must, in the judgment of the research committee, meet the standards of significant and original research.

Optional additions to the Ph.D. program

Harvard PhD students may choose to pursue these additional aspects:

  • a Secondary Field (which is similar to a "minor" subject area).  SEAS offers PhD Secondary Field programs in  Data Science and in  Computational Science and Engineering .   GSAS  lists  secondary fields offered by other programs.
  • a Master of Science (S.M.) degree conferred  en route to the Ph.D in one of several of SEAS's subject areas.  For details see here .
  • a Teaching Certificate awarded by the Derek Bok Center for Teaching and Learning .

SEAS PhD students may apply to participate in the  Health Sciences and Technology graduate program  with Harvard Medical School and MIT.  Please check with the HST program for details on eligibility (e.g., only students in their G1 year may apply) and the application process.

In Applied Mathematics

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Home  |  Graduate Admissions  |  PhD Admissions

PhD Programs Admissions

Ready to apply to Dartmouth's engineering  PhD , the  PhD-Innovation (PhD-I) Program , the PhD in Medical Physics , or the PhD+MD ? To help students prepare a strong application, this page provides important information about the admissions process, including deadlines, eligibility requirements, and application and financial aid instructions.

PhD students typically enter with full support from either a Graduate Research Assistantship (GRA) or an external fellowship. Explore general PhD funding and expenses to consider for all PhD programs and learn about additional fellowship and grant opportunities .

Start Your Application

On This Page

Phd application process, phd innovation (phd-i) program application process, phd in medical physics application process, md-phd application process, application deadlines.

December 15

priority deadline for Fall term admission; applications are accepted on a rolling basis after December 15

At least two terms prior to admission

deadline for Winter, Spring, or Summer term admission

Required Application Materials

The following instructions are a guide for completing the application for the PhD program at Thayer School of Engineering at Dartmouth (Dartmouth Engineering).

PhD+PhD-I : New students interested in the PhD Innovation (PhD-I) Program can apply to both the PhD and PhD-I within the same application. Follow the PhD process outlined below , and submit the additional required materials for the PhD-I.

Please read the following instructions carefully. Only complete applications will be considered for admission.

Online Application

Applicants must complete the application for admission online. It is not necessary to send us a hard copy. Online applications open August 1 of each year.

Updating Your Materials

Your test scores and mailing address can be updated at any time through your application status page. After submission, other components (resume, statement of purpose, essays, etc.) cannot be updated. Please be sure you have entered the most accurate information at the time of submission. Due to the volume of applications received, we cannot update these materials after submission.

Acknowledgement

After submission, you will receive an email acknowledgement through the application system.

Application Status

To see the status of your application, visit your online application status page. Please note that it may take a few days for application materials to be processed.

Application materials and supporting documents become the property of the Admissions Committee and are not returnable.

General Policies

False Statements/Materials: If a candidate for admission to Dartmouth makes a false statement or submits falsified material in connection with his or her application, and the misrepresentation is discovered after the candidate has been admitted, the offer of admission ordinarily will be withdrawn. If the misrepresentation is discovered after a student arrives on campus or at any time during their enrollment, the student will be subject to loss of credits earned and disciplinary action that could include separation from the College. If the discovery occurs after a degree has been awarded, the degree normally will be rescinded.

Equal Opportunity: Dartmouth Engineering actively supports equal opportunity for all persons regardless of race or ethnic background. No student will be denied admission or be otherwise discriminated against because of sex, handicap, religion, sexual orientation, race, color, or national origin.

Security and Fire Safety Report: Dartmouth prepares an annual Security and Fire Safety Report which is available to all current and prospective employees and students. The report includes statistics of reported crimes that have occurred on campus, in certain off-campus buildings, or on property owned or controlled by Dartmouth, and on public property within, or immediately adjacent to and accessible from, the campus as well as reported fires occurring in residential facilities. The report also includes institutional policies concerning campus security, such as policies concerning sexual assault, fire safety, and other matters. You may obtain a copy of this report by contacting the Director of Safety and Security and the College Proctor at +1 (603) 646-4000.

  • Application Fee

A non-refundable application fee of $50 is required of all applicants, except for Dartmouth College or Dartmouth Engineering students and alumni. The fee must be paid by credit card. Applications will not be processed until this fee is received.

Letters of Recommendation

Three (3) letters of recommendation must be completed and submitted online directly by your recommenders . Please have your recommenders complete the evaluation form that will be emailed to them and submit a signed letter on their official institutional letterhead. If your recommender’s company or institution has a policy against letterhead they must provide a copy of this policy with the recommendation letter.

Letters of recommendation should ideally come from your college professors using their official school email address. Applicants with work or military experience or currently in another graduate program should submit a recommendation from their immediate supervisor, a current or former employer, or someone who knows them well through some other professional or community activity.

Academic Transcripts

All applicants are required to submit academic transcripts from each undergraduate or graduate institution from which you obtained your degrees (eg. your bachelor’s degrees or other advanced degrees.)

You may scan and upload a copy of your academic transcript (not diploma) issued by the institution(s) from which you obtained your undergraduate degree(s) and any advanced/graduate degree(s) directly to the online application.

For grading scales other than 4.0 grading scales: Please include documentation indicating the scale.

Applicants with international transcripts are encouraged to submit a transcript evaluation from WES (World Education Services) along with their Dartmouth Engineering application. While a WES evaluation is not mandatory for admission, it can help expedite the application review process. If you are admitted, you will need to submit official academic transcripts for all your international coursework and credentials. WES evaluations can be used instead of official transcripts, but they must be sent directly to Dartmouth Engineering by the evaluation service provider, and they must include a copy of the official transcripts that were evaluated.

Non-degree coursework: If you attended institutions other than those from which your degree(s) were granted, you are required to scan and upload your academic transcripts from these institutions (transfer coursework, domestic or study-abroad programs, postgraduate non-degree coursework, etc.).

If you have more than three undergraduate transcripts or three graduate transcripts to upload, please combine them by uploading a file that contains more than one transcript.

  • Scan BOTH sides of your transcript (provided the second side is not blank).
  • Depending on the scanner and software, you may either insert individual images (.jpg) into a single word processing document for upload, OR if your software produces a .pdf, simply upload that file.
  • The file must be less than 1 MB, in a standard format, WITHOUT password protection or macros. Any of these problems will cause the upload process to fail.
  • A diploma is not a transcript.

If you upload a scanned copy of your transcript, you do not need to send a hard copy. The scanned copy fulfills the requirement for the application process. Upon admission, you will be required to supply an official hard copy of your transcript.

Admitted students: If admitted, you will be required to request that ONE official, original hardcopy transcript mailed to Dartmouth Engineering (mailing address below) directly from each college and/or university you have attended in a signed, sealed envelope. We will accept a transcript via email if that is your prior institution’s method of transcript delivery.

International applicants must make arrangements to have their academic records translated and sent along with originals. Where American-style transcripts are not used, the applicant must include all available records including courses, grades, degrees, and rank-in-class. The appropriate university officials must certify these records. Evaluations from WES (World Education Services) can be used instead of official transcripts, but they must be sent directly to Thayer by the evaluation service provider, and they must include a copy of the official transcripts that were evaluated.

Upon admission, supporting materials such as transcripts should be mailed to:

Graduate Admissions Thayer School of Engineering at Dartmouth 15 Thayer Drive Hanover, NH 03755

Supplemental Form: Research Area, Identifying Faculty, Statement of Purpose/Essay & CV/Resume

Research Area: Engineering PhD students typically are funded through a professor’s sponsored research or a fellowship. Students interested in applying to the PhD program are encouraged to reach out to individual faculty members to discuss potential projects.

Through the PhD program, students may elect one of the six program areas to be reflected as a "concentration." In the application, you will be prompted to select which track you are interested in pursuing. Applicants should indicate all areas of interest in order to be considered for the widest possible range of opportunities. Students can switch program areas after starting the program.

Identifying Dartmouth Engineering faculty members of interest : The supplemental form of the application will be used to match your area(s) to those of faculty or to determine your focus. You must select at least one and may choose up to three faculty from the drop-down list in the application.

Fill this out carefully and list your top faculty interest first. We strongly encourage you to review research by program areas and contact Dartmouth Engineering faculty for an initial conversation about research opportunities.

Statement of Purpose/Essay: You will be prompted to write a brief essay describing your research interests and career goals and the reasons you wish to pursue graduate studies at Dartmouth. Include any information that does not appear elsewhere that will help us evaluate your application. If possible, keep your essay to 1–2 pages.

CV/Resume: Upload your most recent CV or resume.

Optional Essay: Dartmouth Engineering is committed to a climate that acknowledges and embraces diversity of perspectives and backgrounds, supporting a culture that fosters inclusion and actively pursues equity. In this optional essay, applicants are encouraged to share how their personal perspectives and unique life experiences will contribute to Dartmouth and the Dartmouth Engineering community.

TOEFL, IELTS, or Duolingo (International Applicants)

Non-US citizens must submit language proficiency test scores, with the exception of those who are earning or have earned a degree from institutions in the US or Canada, or who are from the following countries: Australia, Canada, Denmark, Germany, Ghana, Ireland, the Netherlands, New Zealand, Nigeria, Slovenia, and Sweden, the United Kingdom, and the US.

For all graduate programs, Dartmouth Engineering accepts the following English proficiency tests: TOEFL , IELTS , and Duolingo . During the application process, self-reported scores are acceptable. However, once admitted, students will be required to submit official test results directly from the testing organization.

IELTS scores should be sent to "Dartmouth College" with the ETS code 3360.

GREs (optional)

GREs are optional for all Dartmouth Engineering graduate programs. If you would like to include GRE scores to give the admissions committee a better understanding of your qualifications, we accept self-reported scores at the time of application. If you enter self-reported scores, you will be required to provide official scores if admitted. Visit the ETS website and use code 3360.

Eligibility Requirements

The foundation for doctoral engineering degree work is undergraduate preparation in science, mathematics, and engineering principles. Applicants must hold a bachelor's or master's degree to be considered for the program, although a master’s degree is not required. Students admitted to the program who are not prepared to complete the first-year requirements are advised to enter the MS program and petition to be admitted to the PhD program. Students who have prior graduate training may be considered for advancement to candidacy after completing one or two terms of the first-year doctoral program.

International Students

Language proficiency test scores are required for non-US citizens, with the exception of those who are earning or have earned a degree from institutions in the US or Canada, or who are from the following countries: Australia, Canada, Denmark, Germany, Ghana, Ireland, the Netherlands, New Zealand, Nigeria, Slovenia, and Sweden, the United Kingdom, and the US.

While all applications are looked at holistically, we recommend the following score ranges:

  • TOEFL scores of 100 or higher
  • IELTS scores of 6.5 or higher
  • Duolingo scores of 135 or higher

Dartmouth Engineering initiates the visa process. For information about the visa and immigration process, visit Dartmouth's Office of Visa and Immigration Services .

Part-Time Students

The PhD program can also be undertaken part-time: students interested in this option should contact the Senior Associate Dean for Research and Graduate Programs .

Graduate Admissions Thayer School of Engineering at Dartmouth 15 Thayer Drive, Hanover, NH 03755 [email protected]

PhD Program

Learn about requirements, funding, expenses, and more.

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Admission to this program is determined by a committee consisting of the Dean of Dartmouth Engineering or the Director of the Program (Professor Eric Fossum ), and members of the faculty, drawn from those serving on the Program Advisory Board.

Review PhD-I Program funding comparisons

Application Timeline

application deadline

Late January/ Early February

presentations via Zoom

Mid-February

decisions and notifications

candidate acceptance deadline

The PhD Innovation (PhD-I) Program welcomes applicants who are in the process of applying to Dartmouth Engineering's PhD program, as well as applicants who are already enrolled in Dartmouth Engineering's PhD program. The application process differs slightly for each group, and is outlined below. Please read the following instructions carefully. Only complete applications will be considered for admission.

Students applying to Dartmouth Engineering's PhD program

Students not already enrolled in a Dartmouth Engineering PhD program must submit all required materials for the PhD program listed above in addition to the following:

When completing the online application, check the box indicating "Innovation Program" interest on the program information page of the application.

On the PhD Supplemental Form of the online application, you will be prompted to submit the following two essays for the PhD-I Program, in addition to the materials required for the main PhD program.

Statement on PhD-I Program Interest (two-pages max): Submit a statement specific to the PhD-I Program that addresses the following:

  • Reasons for interest in the PhD-I Program
  • Why the program is relevant to your long-term career goals
  • An example demonstrating creativity in arriving at a solution

Statement on Broad Technology Development Problem (two-pages max): Describe an example of a broad technology development problem that interests you. It should be written in the general form of a proposal for funding. Specify one or two potential Dartmouth Engineering faculty advisors for your proposed work (prior contact with those faculty members by email is recommended).

Current students already enrolled in a Dartmouth Engineering PhD program

Current students already enrolled in a Dartmouth Engineering PhD program must assemble the following materials and submit them via email at [email protected] to apply.

  • Letter of recommendation from your thesis advisor. This should be submitted directly from your advisor to [email protected] .
  • Current CV/resume.
  • reasons for interest in the PhD-I Program
  • why the program is relevant to your long-term career goals
  • an example demonstrating creativity in arriving at a solution
  • Statement (two-pages max) describing an example of a broad technology development problem that interests you. This should be written in the general form of a proposal for funding.
  • Combine your CV/resume and two statements into a single .pdf file.
  • Label the file following this format: LastNameFirstName_Innovation.pdf
  • Email the .pdf as an attachment to: [email protected]

Eligibility

Applicants must meet all prerequisites and requirements for the standard PhD degree program . New PhD applicants, as well as current Dartmouth Engineering PhD and MD-PhD students are eligible to apply to the PhD Innovation (PhD-I) Program. Current students are advised to consult with their faculty advisor and Professor Eric Fossum , Director of the PhD-I Program, prior to applying.

General Program Questions

Jessica Moody PhD Innovation Program Coordinator [email protected]

Admissions Questions

[email protected]

The PhD and Certificate Program in Medical Physics welcomes applicants who are currently in the process of applying to Dartmouth Engineering's PhD program, as well as applicants who are currently enrolled in Dartmouth Engineering's PhD program, or any of the physical science PhD programs at Dartmouth. The application process differs slightly for each group. Please read the application instructions carefully. Only complete applications will be considered for admission.

Learn how to apply

Start your PhD in Medical Physics Application

David J. Gladstone Adjunct Professor of Medicine, Professor of Engineering, and PhD and Certificate Program in Medical Physics Program Director [email protected]

Students must apply to the Dartmouth Engineering PhD program through the process outlined above , indicating their specific interests on their online application, as well as to Geisel School of Medicine .

Learn about the MD-PhD program

Start Your MD-PhD Application

Engineering & Computational Mathematics

Phd in engineering & computational mathematics.

Request Info Visit Us Apply Now

To be admitted to the Engineering & Computational Mathematics doctoral program, an applicant must have received a bachelor’s or master’s degree in science, engineering, or mathematics from a regionally accredited institution.

In order to be considered for admission, applicants must submit separate and complete applications to both Cal State Long Beach and Claremont Graduate University . The completed application package must include official transcripts, two letters of reference, a personal statement, and a resume. Current, official GRE scores are required, and scores may not be older than 5 years. Both application fees are required.

You can also visit the Cal State Long Beach program page for program information and faculty listings.

For CGU program questions, please contact:

Request information about the Engineering & Computational Mathematics program

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PhD in Systems Science & Mathematics

Learn how you can earn your PhD in Systems Science & Mathematics at the McKelvey School of Engineering.

phd in engineering mathematics

Earn your PhD in Systems Science & Mathematics at the McKelvey School of Engineering for the opportunity to develop and optimize complex systems including information systems, quantum systems and telecommunication networks.

Start your PhD application

Full Support & Funding

Our PhD students are fully funded , including full tuition support and health insurance.

As a doctoral candidate, you will also receive a generous stipend to cover living expenses. This support is guaranteed as you continue to make satisfactory progress towards your degree.

Additionally, doctoral students may also qualify for one of the fellowships:

  • The Ann W. and Spencer T. Olin – Chancellor’s Fellowship
  • McDonnell International Scholars Academy
  • Dean's International Award

St. Louis offers big-city amenities at a small-town price allowing you to pursue your professional goals without financial strain.

See how the cost of living in STL compares (Nerd Wallet)   

Requirements

The PhD in Systems Science and Mathematics is an academic doctoral degree designed for full-time students interested in an academic, laboratory or industrial research and development career in a specialized area of systems, control or applied mathematics.

Students pursuing the degree must complete a minimum of 72 credit hours of post-baccalaureate study consistent with the residency and other applicable requirements of Washington University in St. Louis and the Graduate School. These 72 units must consist of at least 36 units of course work and at least 24 units of research, and may include work done to satisfy the requirements of a master's degree in a related discipline. Up to 24 units for the PhD may be transferred to Washington University in St. Louis from another institution.

Degree Progression

The following milestones provide an example of how PhD students are expected to progress toward their degree. Students who enter the program with a master's degree may be able to shorten this timeline by one year or more.

  • Complete at least 36 hours of post-baccalaureate course work
  • Pass an oral qualifying examination, to be taken before the second academic year of the program
  • Pass an oral preliminary research examination, to be completed within two years of passing the written qualifying examination, and at least one year prior to completion of the dissertation
  • Satisfy the general residency requirement for the Graduate School 
  • Satisfy the general teaching requirement for PhD degrees offered by the Graduate School
  • Write a doctoral dissertation that describes the results of original and creative research in a specialization within electrical engineering or systems science and mathematics
  • Pass a final oral examination in defense of the dissertation research
  • Take ESE 590: Electrical and Systems Engineering Graduate Seminar each semester

Admission Information

The deadline to apply for the PhD in Systems Science & Mathematics is Dec. 15 . 

As COVID-19 is making it difficult for many students to be able to safely take the GRE General test, the test is optional for this program in Fall 2023.  

Visit the Application Checklist for complete details on what's required in your application packet. If you have any questions, check out our admissions FAQs or contact  Stacia Burd, Graduate Program Advisor, at  [email protected] .

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Our faculty strive to advance basic science and solve cutting-edge engineering problems relevant to society in the areas of:

  • Applied physics
  • Devices and circuits
  • Signals and imaging
  • Systems science

Discover our research areas

Madi Hester Graduate Program Coordinator [email protected] Green Hall, Room 1101

Stacia Burd Graduate Program Advisor [email protected] Green Hall, Room 1101

General Inquiries [email protected]

*For questions regarding your application please contact  Graduate Student Services

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  • University of Wisconsin-Madison

DEGREE Engineering Mechanics, PhD

phd in engineering mathematics

Doctoral degree in engineering mechanics

As a PhD student in engineering mechanics, you’ll delve deeper into several main areas of the mechanics of materials and astronautics: continuum mechanics, computational mechanics, dynamics and vibration, fluid mechanics, nanomechanics, solid mechanics, and biomechanics. Additionally, you can add breadth to your education with a minor in a number of related fields, including civil and environmental engineering, chemical and biological engineering, electrical and computer engineering, materials science, mechanical engineering, nuclear engineering and engineering physics, physics, geological engineering and geology, mathematics, statistics, and computer science.

At a glance

Mechanical engineering department, learn more about what information you need to apply., how to apply.

Please consult the table below for key information about this degree program’s admissions requirements. The program may have more detailed admissions requirements, which can be found below the table or on the program’s website.

Graduate admissions is a two-step process between academic programs and the Graduate School. Applicants must meet the minimum requirements of the Graduate School as well as the program(s). Once you have researched the graduate program(s) you are interested in, apply online .

APPLICATION REQUIREMENTS and PROCESS

Degree:  For admission to graduate study in Engineering Mechanics, an applicant must have a bachelor’s degree in engineering, mathematics, or physical science, and an undergraduate record that indicates an ability to successfully pursue graduate study. International applicants must have a degree comparable to a regionally accredited U.S. bachelor’s degree.

It is highly recommended that students take courses that cover the same material as these UW-Madison courses before entering the program:

Course and Semester Credits                                         Typical Courses

Advanced Mathematics, 3 cr                      MATH 319 , MATH 320 , or MATH 321

Linear Algebra and Matrices, 3 cr              MATH 320 or MATH 340

Mechanics of Materials, 3 cr                       E M A 303

Dynamics, 3 cr                                             E M A 202 or PHYSICS 311

Descriptions of course content can be accessed through  The Guide . Students may enter without having taken these courses. However, in such cases the students must inform their advisors, who will help them plan courses of study that will provide adequate background for our department’s graduate curriculum. Provisions for admission on probation, or as an applicant for more than one master’s degree (e.g., simultaneous MS degrees in two departments) are given in the  Graduate School website . 

All applicants must satisfy requirements that are set forth by the  Graduate School . 

GPA:  The Graduate School requires a minimum undergraduate grade point average of 3.0 on a 4.0 basis on the equivalent of the last 60 semester hours from the most recent bachelor’s degree. In special cases, students with grade point averages lower than 3.0 who meet all the general requirements of the Graduate School may be considered for admission on probation.

PhD advisor selection process:  PhD applicants are encouraged to identify potential faculty advisors and seek a confirmation. Please review the department  Research  and  People  websites and contact those whose research interests align with yours. Only faculty members listed with the titles of Assistant Professor, Associate Professor, or Professor, can serve as graduate advisors. Do not contact Emeritus faculty, Lecturers, Research Scientists, or Faculty Associates. You are also encouraged to inquire about possible funding opportunities. If a faculty member agrees to be your advisor, ask the person to email an acknowledgment to  [email protected] .

Each application must include the following:

  • Graduate School Application
  • Academic transcripts
  • Statement of purpose
  • Three letters of recommendation
  • English Proficiency Score  (if required)

To apply to the EM program, complete  applications , including supportive materials, must be submitted as described below and received by the following deadline dates:

  • Fall Semester—December 15 
  • Spring Semester—September 1
  • Summer Session—December 15 

ACADEMIC TRANSCRIPT

Within the online application, upload the undergraduate transcript(s) and, if applicable, the previous graduate transcript. Unofficial copies of transcripts will be accepted for review, but official copies are required for admitted students. Please do not send transcripts or any other application materials to the Graduate School or the Department of Mechanical Engineering unless requested. Please review the requirements

STATEMENT OF PURPOSE

In this document, applicants should explain why they want to pursue further education in Engineering Mechanics and discuss which UW faculty members they would be interested in doing research with during their graduate study (see the Graduate School for  more advice on how to structure a personal statement ).

Upload your resume in your application.

THREE LETTERS OF RECOMMENDATION

These letters are required from people who can accurately judge the applicant’s academic and/or research performance. It is highly recommended these letters be from faculty familiar with the applicant. Letters of recommendation are submitted electronically to graduate programs through the online application. See the  Graduate School for FAQs  regarding letters of recommendation. Letters of recommendation are due by the deadline listed above. 

ENGLISH PROFICIENCY SCORE 

Every applicant whose native language is not English, or whose undergraduate instruction was not in English, must provide an English proficiency test score. The UW-Madison Graduate School accepts TOEFL or IETLS scores. Your score will not be accepted if it is more than two years old from the start of your admission term. Country of citizenship does not exempt applicants from this requirement. Language of instruction at the college or university level and how recent the language instruction was taken are the determining factors in meeting this requirement.

For more information regarding minimum score requirements and exemption policy, please see the  Graduate School Requirements for Admission .

APPLICATION FEE

Application submission must be accompanied by the one-time application fee. It is non-refundable and can be paid by credit card (MasterCard or Visa) or debit/ATM. Additional information about the application fee may be found  here  (scroll to the ‘Frequently asked questions).

Fee grants are available through the conditions  outlined here by the Graduate School .

If you have questions, please contact  [email protected] .

REENTRY ADMISSIONS

If you were previously enrolled as a graduate student in the Engineering Mechanics program, have not earned your degree, but have had a break in enrollment for a minimum of a fall or spring term, you will need to re-apply to resume your studies. Please review the Graduate School requirements for  previously enrolled students . Your previous faculty advisor (or another EM faculty advisor) must be willing to supply advising support and should e-mail the EM Graduate Student Services Coordinator regarding next steps in the process.

If you were previously enrolled in a UW-Madison graduate degree, completed that degree, have had a break in enrollment since earning the degree and would now like to apply for another UW-Madison program; you are required to submit a new student application through the UW-Madison Graduate School online application. For EM graduate programs, you must follow the entire application process as described above.

CURRENTLY ENROLLED GRADUATE STUDENT ADMISSIONS

Students currently enrolled as a graduate student at UW-Madison, whether in EM or a non-EM graduate program, wishing to apply to this degree program should contact the  EM Graduate Admissions Team  to inquire about the process and deadlines several months in advance of the anticipated enrollment term. Current students may apply to change or add programs for any term (fall, spring, or summer).

Tuition and funding

Tuition and segregated fee rates are always listed per semester (not for Fall and Spring combined).

View tuition rates

Graduate School Resources

Resources to help you afford graduate study might include assistantships, fellowships, traineeships, and financial aid.  Further funding information is available from the Graduate School. Be sure to check with your program for individual policies and restrictions related to funding.

There are three mechanisms for Graduate Student funding through the university for Engineering Mechanics Ph.D. students:

  • Fellowships
  • Graduate assistantships: project assistantships, teaching assistantships, and research assistantships
  • Traineeships 

Funding is awarded based on the qualifications of the student, the number of applicants, the amount of available funding, the number of continuing students receiving support, and the degree program a student is enrolled in. You can apply for funding for research assistantships by contacting individual faculty members directly. Please check our  website  to look for faculty (only those listed with titles of assistant professor, associate professor, or professor can serve as graduate student advisors). Search for faculty who have research interests that align closely with your own by viewing faculty directory entries, visiting the faculty’s website (linked from the directory page), and reviewing publications by the faculty member. Once you have identified faculty with interests close to your own, you are encouraged to contact them by email to inquire regarding available research assistant positions. The admissions office does not know if a particular professor has research assistant positions available.

Students who apply to the Ph.D. program will be automatically considered for fellowship opportunities within the department. Admitted students will be eligible to apply for Teaching Assistantship positions. More information, including the application, will be available to students after admission is complete.

More information on graduate student funding is available from the  UW-Madison Graduate School .

Students who are U.S. citizens or permanent residents may be eligible to receive some level of funding through the federal direct loan program. These loans are available to qualified graduate students who are taking at least 4 credits during the fall and spring semesters, and 2 credits during summer. Private loans are also available. Learn more about financial aid at  their website . 

INTERNATIONAL STUDENT SERVICES FUNDING AND SCHOLARSHIPS

For information on International Student Funding and Scholarships visit the ISS  website .

In the Engineering Mechanics graduate research programs, students push the boundaries of fundamental knowledge in fluid mechanics, solid mechanics, and dynamics while working on problems with direct relevance to societal needs–like clean energy, aerospace, human health, and materials discovery–and with direct access to state-of-the art experimental and computational laboratories.

View our research

Curricular Requirements

Minimum graduate school requirements.

Review the Graduate School minimum  academic progress and degree requirements , in addition to the program requirements listed below.

Required Courses

At least 36 of the required 60 credits must be in classes satisfying the following general requirements and mathematics, breadth and depth requirements.

 It is acceptable for students who earned an M.S. degree in Engineering Mechanics at UW-Madison to use coursework completed while in the M.S. degree program to meet the requirements above.

Graduate Student Services [email protected] 3182 Mechanical Engineering 1513 University Ave., Madison, WI 53706

Associate Chair for Graduate Studies [email protected]

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MCFAM Seminar - Can deep learning help solve asset-pricing equations?

Speaker: Deqing Jiang

Abstract: The curse of dimensionality stops classical methods from solving high-dimensional (differential) equations numerically. However, recent advances in deep-learning-based methods imply that these equations can be solved by reformulating them as optimization problems. In this session, we briefly review some of these deep-learning-based methods and their convergence analysis and open a discussion about how to apply them to solve (high-dimensional) asset-pricing equations.

Bio: Deqing Jiang, Final year PhD, Mathematical Institute, University of Oxford. Research direction: Analysis of deep-learning-based PDE solvers. Research interests: Mathematical finance, scientific machine learning.

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phd in engineering mathematics

Request information about the Engineering & Computational Mathematics program. A joint degree program between Claremont Graduate University and CSU Long Beach, the PhD in Engineering & Computational Mathematics integrates advanced techniques in mathematical analysis with the latest in engineering innovation.

Researchers in Engineering Mathematics contribute to projects across the University including artificial intelligence, machine learning, complexity, robotics, dynamics and control, environmental uncertainty, predictive life sciences, and neurosciences. A list of available projects can be found on the Faculty PhD opportunities site.

PhD in Applied Mathematics and Statistics. Create knowledge at the nation's leading research institution. Our doctoral program in applied mathematics and statistics prepares you for leadership, no matter what professional path you choose. In This Section. Ph.D. Student Handbook. Fellowship Information.

CSEM PhD Program. The University of Texas at Austin offers the Doctor of Philosophy (PhD) degree with a major in Computational Science, Engineering, and Mathematics (CSEM). We seek students who are committed to excellence, desire expertise in multiple disciplines, and are willing to take on new challenges while working alongside faculty ...

The PhD program in applied mathematics is designed for students who want to pursue research in applied math at the highest level. The PhD program prepares students for independent research and emphasizes flexibility in adapting research areas to current opportunities. PhD students can obtain a master's degree after successful completion of the ...

The PhD in CSE is a highly interdisciplinary program designed to provide students with practical skills and theoretical understandings needed to become leaders in the field of computational science and engineering. The program emphasizes the integration and application of principles from mathematics, science, engineering and computing to create computational models for solving real-world problems.

In addition to courses in applied mathematics and engineering, PhD students undertake a multi-year research project, usually part of a larger multidisciplinary project. These research projects are negotiated with a faculty mentor who sponsors the student in the program. PhD Admissions Info.

Computational mathematics is at the heart of many engineering and science disciplines. Learn about ICME PhD & MS Programs and How to Apply. Academics & Admission From fundamental to applied. Discover how computational mathematics, data science, scientific computing, and related fields are applied across a wide range of domains. ...

Applied Mathematics is an area of study within the Harvard John A. Paulson School of Engineering and Applied Sciences. Prospective students apply through Harvard Griffin GSAS; in the online application, select "Engineering and Applied Sciences" as your program choice and select "PhD Applied Math" in the Area of Study menu.

Conduct research on discrete mathematics, statistical genetics, computational fluid dynamics, financial mathematics, and other fields with a master's or phd in mathematical sciences at Michigan Technological University. Skip to page content Skip to footer navigation. ... "Applied mathematics is the common denominator of engineering, physics ...

The Dissertation: The dissertation, also known as the "Ph.D. thesis", is the heart of the Ph.D. program. It must be a substantial original investigation in a field of applied mathematics and computational science, done under the supervision of a faculty advisor. The Ph.D. Thesis Committee: This committee is appointed by the Graduate Group Chair ...

Math minor. Requires 4 courses that total at least 12 credits. Our program allows students to focus in pure or applied mathematics. You'll design a program with your faculty advisor to create a curriculum that best suits your needs and goals. If you enter the program without a prior graduate degree, you'll earn a Master's on the way to your PhD.

The Department of Engineering Sciences and Applied Mathematics offers two graduate programs in engineering sciences and applied mathematics: a master of science program and a doctoral program. Qualified students with backgrounds in engineering, mathematics, or science are eligible for admission to either program. Not all of our incoming ...

The typical tuition fee for a PhD in Maths in the UK is £4,407 per year for UK/EU students and £20,230 per year for international students. This, alongside the range in tuition fees you can expect, is summarised below: Situation. Typical Fee (Median) Fee Range.

In accordance with an agreement between CGU and CSULB, the degree is designated the Doctorate of Philosophy in Engineering and Computational Mathematics and is granted at Claremont Graduate University in the name of the two universities.The diploma indicates the dual nature of the degree and specifies that it is granted only when requirements have been satisfied in both subject areas as ...

With a PhD in Mathematics from Claremont Graduate University, you will join a community of highly educated, capable scientists who excel at communicating knowledge to students, fellow mathematicians, and the global community. CGU's Institute of Mathematical Sciences (IMS) trains scientists in fundamental areas of mathematics and develops ...

The Department of Mathematics of the Politecnico di Milano is hosting a PhD program in Mathematical Models and Methods in Engineering, aiming at training high level researchers in advanced areas of Pure and Applied Mathematics. The teaching activities include a broad range of possibilities designed for the PhD program.

a Secondary Field (which is similar to a "minor" subject area). SEAS offers PhD Secondary Field programs in Data Science and in Computational Science and Engineering. GSAS lists secondary fields offered by other programs. a Master of Science (S.M.) degree conferred en route to the Ph.D in one of several of SEAS's subject areas.

Research Area: Engineering PhD students typically are funded through a professor's sponsored research or a fellowship. ... The foundation for doctoral engineering degree work is undergraduate preparation in science, mathematics, and engineering principles. Applicants must hold a bachelor's or master's degree to be considered for the program ...

Engineering & Computational Mathematics PhD in Engineering & Computational Mathematics. Overview Toggle Sidebar Nav. ... To be admitted to the Engineering & Computational Mathematics doctoral program, an applicant must have received a bachelor's or master's degree in science, engineering, or mathematics from a regionally accredited ...

The PhD in Systems Science and Mathematics is an academic doctoral degree designed for full-time students interested in an academic, laboratory or industrial research and development career in a specialized area of systems, control or applied mathematics. Students pursuing the degree must complete a minimum of 72 credit hours of post ...

Apply discipline-focused or methodology-focused topics in computational and data science to solve problems in the student's application domain of choice. Conduct significant original research and present it in peer-reviewed articles, a written dissertation, and orally in a variety of venues. A more detailed description of the PhD program ...

APPLICATION REQUIREMENTS and PROCESS. Degree: For admission to graduate study in Engineering Mechanics, an applicant must have a bachelor's degree in engineering, mathematics, or physical science, and an undergraduate record that indicates an ability to successfully pursue graduate study.International applicants must have a degree comparable to a regionally accredited U.S. bachelor's degree.

In this session, we briefly review some of these deep-learning-based methods and their convergence analysis and open a discussion about how to apply them to solve (high-dimensional) asset-pricing equations.Bio: Deqing Jiang, Final year PhD, Mathematical Institute, University of Oxford.Research direction: Analysis of deep-learning-based PDE ...

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IMAGES

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  3. What the $600M 'world's biggest yacht' will look like inside

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  4. Mondello, in rada lo yacht da 150 milioni di dollari dell'uomo più

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  5. A Mondello lo yacht dell’uomo più ricco di Russia |FOTO

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COMMENTS

  1. Yacht da 150 milioni di dollari avvistato a Mondello, l'anno scorso

    In questi giorni lo yacht Aquila, imbarcazione da 150 milioni di dollari, si trova al largo di Mondello. Mistero su chi si trovi all'interno di questo gioiello lungo 85 metri che può ospitare 12 ...

  2. Megayacht A cost Italy 18 million euros and it will still cost

    Megayacht A, has already cost Italy 18 million euros, will still cost a lot of money, and the state cannot dispose of it. Megayacht A, which is in fact the world's largest sailboat (although some people refuse to call it a "sailboat") had been seized from Russian tycoon Andrei Melnichenko on the night of March 11-12, 2022 while in Trieste, two years ago.

  3. Italy seizes $578 million mega yacht owned by Russian oligarch Andrey

    The statement said the vessel — called "SY A" — is worth about 530 million euros ($578 million) and was in storage at the northeastern port of Trieste. It's one of the largest superyachts in ...

  4. Largest Yachts In The World 2023

    Al Said - 509 FT. (155M) Prince Abdul Aziz - 482 FT. (147M) El Mahrousa - 475 FT. (145M) First, let's take a look at the new king - now the largest motor yacht in the world: 1. SOMNIO- 728 FT. (222M) Somnio will be the world's first 'yacht-liner'. Image credit: Winch Design. Due for launch in mid-2024, Somnio is expected to ...

  5. THE 10 BEST Mondello Boat Rides & Cruises (Updated 2024)

    Set sail on your destination's top-rated boat tours and cruises. Whether it's an entertaining and informative boat tour or a relaxing sunset dinner cruise, these are the best Mondello cruises around. Looking for something more adventurous? Check out our list of must-do water activities in Mondello. See reviews and photos of boat tours & water sports in Mondello on Tripadvisor.

  6. Mega Yacht for sale

    Of the 939 mega yacht for sale on YachtWorld currently, there are 287 new vessels and 652 used and custom yachts listed by professional yacht brokers mainly in the following countries: United States, Italy, France, Spain and Turkey. During the preceding 30 days, YachtWorld has witnessed the listing of 72 mega yacht boats available for sale.

  7. What the $600M 'world's biggest yacht' will look like inside

    An interior rendering of new residential yacht Somnio, which is set to launch in 2024. Winch Design. Prices start from around $11 million, with sizes ranging from 1,600 to 6,500 square feet ...

  8. The BEST Mondello Boats & yachts 2023

    Our most recommended Mondello Boats & yachts. 1. Palermo: Grand-Tour in CruiserCar

  9. Ecco di chi è il mega...

    Ecco di chi è il mega yacht avvistato a Favignana # Tp24 # Notizie # Sicilia Ha suscitato molta curiosità la notizia, pubblicata ieri da Tp24, di un mega yacht a Favignana. Oggi siamo in grado...

  10. One of the largest megayachts in the world turns heads in Malaga marina

    One of the largest megayachts in the world, the 141-metre-long Yas, has cruised into Malaga's marina for luxury vessels again. It is the second visit by the colossal craft, a former Dutch navy frigate, and it remains the largest to moor in the city centre facility. In the process, it has put many of the Muelle Uno restaurants and shops in the ...

  11. What Dreams Are Made Of: The $500M Avanguardia Mega Yacht Concept

    Since being highly praised and awarded for his Jet Capsule design, a small egg-shaped fiberglass yacht, Lazzarini's focus has been on innovative boat shapes. As such, the studio has recently unveiled its latest watercraft concept: Avanguardia, a 137-meter swan-shaped mega yacht.Lazzarini's design, inspired by a 1970's Japanese anime, includes a control tower cockpit positioned in the ...

  12. Billion dollar mega-yacht comes with detachable airship

    A $1 billion mega-yacht comes with a detachable airship. The Colossea is the brainchild of the Italian design studio Lazzarini. The 699-foot-long design pays homage to the N1 airship, later ...

  13. Daily Nautica

    Solo contenuti originali,per fare la differenza. Notizie, interviste, reportage, decine di rubriche, guide e curiosità, approfondimenti su barche e superyacht, regate, pesca e subacquea, con articoli, foto, video, gossip, webcam in live streaming e un podcast proprietario. Daily Nautica è una testata vera con un aggiornamento continuo e ...

  14. Yacht charter Mondello & Boat rental at the best price

    Having more than 50000 yachts available, Clickandboat.com is a yacht charter website giving the opportunity to yacht owners to charter their yacht when they want and to people to find a sailboat or a motorboat at a cheaper price. Find your dream boat in Mondello by checking the equipment and the ratings of boat offers available on our platform.

  15. The BEST Mondello Tours and Things to Do in 2023

    Find the top-rated and best-reviewed tours and activities in Mondello for 2023. From prices and availability to skip-the-line options and mobile tickets, get all the information you need to make the most of your trip to Italy. ... a 14-meter, a comfortable and super elegant motor yacht that will take you to discover the Palermo coast for about ...

  16. Mega-yacht wows Malibu crowds • The Malibu Times

    Photo by Frank Nielsen. The nearly 400-foot-long yacht was reported to cost more than $300 million to construct. It is owned by 38-year-old Russian billionaire Andrey Melnichenko. By Melonie ...

  17. Inside The Billion Dollar Mega-Yacht Dubbed 'Colossea ...

    The 699-foot mega-yacht, designed by Italian design studio Lazzarini, releases the craft from electromagnetic blocks that keep it mounted until it's time to take a flight.. According to The U.S ...

  18. VIDEO: Exclusive look inside newly fitted superyacht O'MEGA

    In order to find out more regarding M/Y O'MEGA, please get in touch with your preferred charter broker today. Alternatively, take a look at all of the luxury yachts available for charter in Greece. 83m Mitsubishi Heavy Industries. 2004 / 2022. New video footage reveals the freshly refurbished interiors inside the 83m/271ft luxury yacht O'MEGA.

  19. lady lara yacht ibiza

    Impressions; At 91 meters in length, Lady Lara is an ultramodern superyacht with sweeping curves and an elegantly balanced profile. Dynamic, sculpted features carry through her ex

  20. 2024 Boat rentals in Mondello: Charters at the best price

    Boat Mondello. In Mondello, privately owned boats are available for charter. See other boats in the area. With Nautal, personalise your Mondello yacht charter. Large selection of boats Best deals Rent a boat in a few clicks With or without skipper.

  21. pershing 115 yacht

    The 35.37m/116'1" open yacht 'Pershing 115/11' was built by Pershing in Italy. Her interior is styled by Italian designer design house Fulvio de Simoni and she was completed in 2016. This luxury vessel's exterior design is the work of Fulvio de Simoni. Range & Performance.

  22. About the company

    About the company. In 1995 it was registered in Moscow representative office of «Granaria Food Group bv», which began to explore the potential of the Russian market. In February 1996, the company was founded by «Chaka», which started selling nuts under the brand name «Chaka» on the Russian market. In September 1998, Elektrostal (Moscow ...

  23. amadeus sailing yacht

    Built by the famous Dynamique Yachts shipyard and having undergone a refit in 2018, sailing Yacht Amadeus was designed to please the most demanding of yachtsmen. Built for smooth sailing, this elegant cutter rigged sloop has a sleek hull design, comfortably reaching top speeds of 12 knots and ensuring excellent sailing performance. ..... The 33.5m/109'11" 'Amadeus' sail yacht built by the ...