PhD program on Mathematical Models and Methods in Engineering - Dipartimento di Matematica

General information

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)

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

Objectives

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.

Professional Opportunities

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.

Upcoming events

jan 15 wed 2025

MOX Colloquia
Relatore, titolo, 01-15-2025, 12:00
- MOX Colloquia
- Relatore
- Affiliazione
- titolo
- Wednesday, 15 January 2025 at 12:00
- Luogo del seminario
- Abstract
  
  "ciao" dall'anno è é * + ù à ò ù , . - _ *
- Relatore
  Curriculum Vitae del Relatore
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
jan 15 wed 2025

Seminar
Alfredo Marzocchi, La danza dei pianeti. Le meraviglie della Meccanica Celeste, 01-15-2025, 15:00
- Seminar
- Alfredo Marzocchi
- Università Cattolica di Brescia
- La danza dei pianeti. Le meraviglie della Meccanica Celeste
- Wednesday, 15 January 2025 at 15:00
- Aula Laboratorio FDS - tiny.cc/zoomfds
- Abstract
  
  Partendo da una derivazione elementare della legge di gravitazione universale di Newton, si tratterà il problema dei due corpi (Sole-Pianeta) da un punto di vista matematico, mostrando come ricavare le tre leggi di Keplero. Successivamente si imposterà il problema dei tre corpi mostrando come ricavare la celebre soluzione triangolare di Lagrange. Da un punto di vista didattico si illustreranno alcune proposte di argomenti, come ad esempio le coordinate polari, che potrebbero aiutare l'introduzione della tematica in classe.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
jan 16 thu 2025

MOX Colloquia
Alessandro Reali, Isogeometric Analysis: Some recent advances with applications to complex and coupled problems, 01-16-2025, 14:00
- MOX Colloquia
- Alessandro Reali
- University of Pavia
- Isogeometric Analysis: Some recent advances with applications to complex and coupled problems
- Thursday, 16 January 2025 at 14:00
- Sala Consiglio (VII Piano), Dipartimento di Matematica, Politecnico di Milano
- Abstract
  
  Isogeometric Analysis (IGA) is a successful simulation framework originally proposed by T.J.R. Hughes et al. in 2005, with the aim of bridging Computational Mechanics and Computer Aided Design. In addition to this, thanks to the high-regularity properties of its basis functions, IGA has shown a better accuracy per degree-of-freedom and an enhanced robustness with respect to standard finite elements in many applications, ranging from solids and structures to fluids, as well as to different kinds of coupled problems, also opening the door to the approximation in primal form of higher-order partial differential equations.
  After a concise introduction of the basic isogeometric concepts, this lecture aims at presenting an overview of some recent advances with a special focus on coupled problems where the characteristics of IGA seem to be of great advantage, including the simulation of fluid-structure interaction in different contexts (e.g., biomedical problems), studies on the effects of mechanically-induced stresses on prostate cancer growth, thermo-mechanical simulations for additive manufacturing processes, electro-mechanical simulations for biological tissues, and the use of phase-field modeling for fracture and topology optimization problems or for predicting the polarization evolution in elastic ferroelectric materials.
  
  Contatto:
  paola.antonietti@polimi.it
- Alessandro Reali
  Alessandro Reali (born in 1977) is Full Professor of Solid and Structural Mechanics at the University of Pavia since 2016. He is currently the Rector’s Delegate for International Research (2019-2025) as well as a member of the Regional Forum for Research & Innovation of Regione Lombardia (2023-2025); moreover, he served as the Dean of the Department of Civil Engineering and Architecture for two terms (2018-2024) and as a member of the Academic Senate (2018-2019). He is specialized in different engineering fields, such as numerical simulation, structural and materials mechanics, biomechanics. During his academic career, he supervised more than 20 PhD students and 15 Postdoctoral fellows. He was the principal investigator of several national and international research projects, including a prestigious ERC grant of the European Research Council. He published about 190 papers on international journals and received more than 16,000 citations with an h-index of 60 (according to Google Scholar). He was also invited to deliver over 100 seminars at internationally renowned institutions, as well as 35 plenary/keynote lectures and more than 40 other invited lectures at international conferences. For his research achievements he received numerous honors and awards, and was appointed, among others, Fellow of the European Academy of Sciences, Knight Commander of the Order of Merit of the Italian Republic, Clarivate/ISI Highly Cited Researcher, Ambassador of the Technical University of Munich - TUM, ECCOMAS Euler medalist, Panetti-Ferrari medalist (Accademia delle Scienze di Torino), IACM Fellows awardee, Fischer Fellow (TUM Institute for Advanced Study), Finzi awardee (Istituto Lombardo – Accademia di Scienze e Lettere), IACM Argyris awardee, ECCOMAS Zienkiewicz awardee, AIMETA Junior awardee.
  More information can be found at: www.unipv.it/alereali.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
jan 23 thu 2025

MOX Colloquia
Rob Stevenson, A quasi-optimal space-time finite element method for parabolic equations, 01-23-2025, 14:00
- MOX Colloquia
- Rob Stevenson
- University of Amsterdam
- A quasi-optimal space-time finite element method for parabolic equations
- Thursday, 23 January 2025 at 14:00
- Sala Consiglio (VII Piano), Dipartimento di Matematica
- Abstract
  
  We outline the (potential) advantages of simultaneous space-time discretisations of parabolic evolution equations, and illustrate them with some numerical results. Other than for elliptic equations there is not one obvious variational formulation, and we present several possibilities. They have in common that the bilinear form is not coercive so that one has to resort to minimal residual discretisations, in most cases in a dual norm which leads to a saddle point problem. We present some technical details concerning adaptive mesh refinement, the construction of uniformly bounded Fortin interpolators, and optimal preconditioning.
  
  Contatto:
  marco.verani@polimi.it
- Rob Stevenson
  Rob Stevenson is professor of Applied Analysis at the University of Amsterdam, The Netherlands. In 1990 he received his PhD from the University of Utrecht. He held positions at the University of Utrecht, the Eindhoven University of Technology, and the Radboud University Nijmegen. He was appointed professor at the University of Amsterdam in 2007. He has served/is serving in the editorial boards of several journals in Numerical Analysis and Computational Mathematics. His research is concerned with the numerical solution of partial differential equations. The main focus of his research is on finite element and wavelet methods, multi-level solvers, least squares discretizations, adaptive methods, and space-time methods.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
jan 27 mon 2025

jan 29 wed 2025

WorkShop
Regularity and geometric aspects of nonlinear pdes, milan 2025
01/27/2025 - 01/29/2025
- WORKSHOP
- Regularity and geometric aspects of nonlinear pdes, milan 2025
- organizers
  Stefano Biagi and Benedetta Noris
- The present workshop is organized with the support of the project MUR-PRIN project 2022R537CS “NO3 – Nodal optimization, nonlinear elliptic equations, nonlocal geometric problems, with a focus on regularity”, granted by the European Union – Next Generation EU. The aim is to bring together both young researchers and recognized experts on regularity and geometric aspects of nonlinear PDEs, in order to present and discuss recent results obtained within the aforementioned project.
- Monday, 27 January 2025 - Wednesday, 29 January 2025
  Politecnico di Milano
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
jan 29 wed 2025

Seminar
Riccardo Bellé [1], Veronica Gavagna [2], Di disfide, di righe e di compassi, 01-29-2025, 15:00
- Seminar
- Riccardo Bellé [1], Veronica Gavagna [2]
- [1] Università di Roma "Tor Vergata", [2] Università di Firenze
- Di disfide, di righe e di compassi
- Wednesday, 29 January 2025 at 15:00
- Aula Laboratorio FDS - tiny.cc/zoomfds
- Abstract
  
  Tra il 1547 e il 1548 ebbe luogo una delle più famose sfide della storia della matematica, che oppose Niccolò Tartaglia a Ludovico Ferrari. Nei Quesiti et inventioni diverse (1546) Tartaglia aveva infatti accusato Girolamo Cardano di avergli estorto anni prima la formula risolutiva dell'equazione di terzo grado e di averla poi pubblicata nella sua Ars Magna (1545); Ferrari decise quindi di confutare l'accusa rivolta al suo maestro Cardano sfidando Tartaglia nella risoluzione di trenta quesiti matematici di varia natura. A questa sfida Tartaglia rispose con altrettanti quesiti e in particolare chiese a Ferrari di dimostrare alcune proposizioni degli Elementi di Euclide senza usare il classico compasso collassabile ma il compasso fisso, il che equivale a modificare il terzo postulato. Ferrari fu in grado di raccogliere e vincere questa sfida? Scopriremo insieme come andò a finire e illustreremo possibili percorsi storico-didattici (in parte già sperimentati) per proporre, anche attraverso le fonti storiche, un approccio un po' inusuale alla geometria elementare, che induca a riflettere sul significato di dipendenza di una costruzione o di un teorema dai postulati, ovvero sulla costruzione di un sistema assiomatico-deduttivo.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
feb 12 wed 2025

Seminar
Fabio Punzo, Integrazione diretta della funzione potenza e applicazioni al logaritmo, 02-12-2025, 15:00
- Seminar
- Fabio Punzo
- Politecnico di Milano
- Integrazione diretta della funzione potenza e applicazioni al logaritmo
- Wednesday, 12 February 2025 at 15:00
- Aula Laboratorio FDS - tiny.cc/zoomfds
- Abstract
  
  Calcoleremo l'integrale definito della funzione potenza x^a, per via diretta, facendo uso solo della definizione di integrale definito, senza sfruttare il teorema fondamentale del calcolo. Nel caso a=-1, attraverso la funzione integrale di 1/x definiremo la funzione logaritmo naturale e ne dedurremo alcune proprietà.
- Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
mar 24 mon 2025

mar 26 wed 2025

WorkShop
Annual meeting of ems activity group on scientific machine learning
03/24/2025 - 03/26/2025
- WORKSHOP
- EMS-TAG-SciML-25
  Annual meeting of ems activity group on scientific machine learning
- organizers
  Paola F. Antonietti, Stefano Pagani, Francesco Regazzoni, Marco Verani (Chair), Paolo Zunino
- In recent years, the combination of numerical methods and machine learning has gained an ever-increasing interest as a research field within Numerical Mathematics and Scientific Computing. To further foster this development on a European level, the Topical Activity Group Scientific Machine Learning (SciML) of the European Mathematical Society (EMS TAG SciML) has been established. The first edition of the Annual Meeting of EMS-AI activity group on Scientific Machine Learning will bring together scientists from mathematics, computer science, and application areas to discuss the latest developments in computational and mathematical methods in Scientific Machine Learning.
- Monday, 24 March 2025 - Wednesday, 26 March 2025
  Politecnico di Milano, Milan, Italy
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
apr 07 mon 2025

apr 09 wed 2025

WorkShop
1st workshop on data science for health and biology - ds4hb
04/07/2025 - 04/09/2025
- WORKSHOP
- DS4HB
  1st workshop on data science for health and biology - ds4hb
- organizers
  Francesca Ieva, Lara Cavinato, Anna Paganoni, Laura Savarè, Vittorio Torri, Giacomo Boracchi, Emanuele Di Angelantonio e Michela Massi
- DS4HB will bring together the brightest minds in data science, healthcare, and biology for a unique event designed to inspire dialogue, collaboration, and innovation in this multidisciplinary research field. The workshop is organized in 3 thematic days - Data Science for Omics (Day 1), Data Science for Imaging (Day 2) and Data Science for Electronic Health Records (Day 3) - and offers a broad landscape of invited talks, panel discussions, training and networking events. Featuring a diverse blend of perspectives and internationally renowned speakers, DS4HB provides a platform for cutting-edge ideas to flourish and for the next generation of researchers to learn from the leaders shaping the future of the life sciences.
- Monday, 7 April 2025 - Wednesday, 9 April 2025
  Politecnico di Milano, Milan (IT)
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568
jun 23 mon 2025

jun 27 fri 2025

WorkShop
29th international conference on domain decomposition methods
06/23/2025 - 06/27/2025
- WORKSHOP
- DD29
  29th international conference on domain decomposition methods
- organizers
  Paola F. Antonietti, Lourenco Beirao da Veiga, Silvia Bertoluzza, Michele Botti, Claudio Canuto, Gabriele Ciaramella, Paola Gervasio, Luca Pavarino, Alfio Quarteroni, Simone Scacchi, Christian Vergara
- The purpose of the meeting is to discuss recent developments in various aspects of domain decomposition methods, bringing together mathematicians, computational scientists, and engineers working on numerical analysis, scientific computing, high-performance computing, machine learning, and computational science with industrial and societal applications. This event is part of the activities of the Department of Exellence 2023-27.
- Monday, 23 June 2025 - Friday, 27 June 2025
  Politecnico di Milano
Politecnico di Milano, Dipartimento di Matematica ed. 14 "Nave", Piazza Leonardo da Vinci, 32, 20133 Milano, Telefono: +39 0223994505 - Fax: +39 0223994568