italianoITA
Head of Dept: Prof. Giulio Magli
Vice-Head of Dept: Prof. Gabriele Grillo
Department Manager: Dr.ssa Franca Di Censo


 About us...

Upcoming Events

  • sep 27 mon 2021

    Seminar
    Hakima Bessaih, Numerical schemes for the 2d Stochastic Navier-Stokes equations.,  09-27-2021, 17:30 precise
    logo matematica
    • Seminar
    • Hakima Bessaih
    • FIU (Florida International University)
    • Numerical schemes for the 2d Stochastic Navier-Stokes equations.
    • Monday, 27 September 2021 at 17:30 right
    • us02web.zoom.us/j/5772228296
    • Abstract
      We consider a time discretization scheme of Euler type for the 2d stochastic Navier-Stokes equations on the torus.
      We prove a mean square rate of convergence. This refines previous results established with a rate of convergence in probability only.
      Using exponential moment estimates of the solution of the Navier-Stokes equations and a convergence of a localized scheme, we can prove strong convergence of fully implicit and semi-implicit time Euler discretization and also a splitting scheme. The speed of convergence depends on the diffusion coefficient and the viscosity parameter.
      When the noise is additive, we are able to get strong convergence without localization.
    • Politecnico di Milano, Dipartimento di Matematica edificio 14, via Giuseppe Ponzio 31/P, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • sep 30 thu 2021

    oct 01 fri 2021

    WorkShop
    Ricercatori in algebra e geometria 2020
    09/30/2021 - 10/01/2021
    logo matematica
    • WORKSHOP
    • Ricercatori in algebra e geometria 2020
    • Questa iniziativa è la prima di una serie, con lo scopo di creare nuove interazioni e consolidare quelle esistenti tra i ricercatori, in particolare quelli recentemente assunti in Italia, che lavorano in Algebra e Geometria. Nello specifico, questo primo incontro verterà su temi della geometria algebrica e della teoria delle rappresentazioni.
    • Thursday, 30 September 2021 - Friday, 1 October 2021
      Scuola Normale Superiore di Pisa
    Politecnico di Milano, Dipartimento di Matematica edificio 14, via Giuseppe Ponzio 31/P, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568
  • oct 14 thu 2021

    MOX Colloquia
    Wolfgang Dahmen, Some Thoughts on Physics Informed Neural Networks,  10-14-2021, 14:00
    logo matematica
    MOX
    MOX Numeth

    • MOX Colloquia
    • Wolfgang Dahmen
    • Mathematics Department, University of South Carolina, Columbia, SC, USA
    • Some Thoughts on Physics Informed Neural Networks
    • Thursday, 14 October 2021 at 14:00
    • mox.polimi.it/elenco-seminari/?id_evento=2079&t=763724
    • Abstract
      "Learning" complex technological or physical processes usually requires fusing the information provided by observational data with knowledge about a "background model" often formulated in terms of a family of parameter dependent PDEs. Frequent forward simulations as well as related inverse tasks calls for reduced models that facilitate an efficient evaluation of the underlying parameter-to-solution map despite expected obstructions caused by the typical high-dimensionality of parameter domains. Physics informed Neural Networks (PINN) offer a promising framework to that effect. The core issue addressed in this talk is the prediction capability of such methods. Related specific questions concern, for instance, the choice of "model compliant" metrics, the choice of training risks that convey certifiable information about the achieved accuracy in such metrics, the role of a priori versus a posteriori error bounds, connections with Generative Adversarial Networks, as well as related implications on training strategies and network adaptation.

      Contact: alfio.quarteroni@polimi.it
    • Wolfgang Dahmen

      Wolfgang Dahmen

      Wolfgang Dahmen is currently a chaired professor in mathematics (SmartState and Williams-Hedberg-Hedberg Chair) at the University of South Carolina in Columbia, South Carolina, USA. His research interests are in Approximation Theory, Numerical, Applied and Harmonic Analysis as well as interdisciplinary applications. A central thematic thread is the development and analysis of adaptive and nonlinear solution concepts in a variety of contexts such as image and data analysis, machine learning, the numerical solution of singular integral and partial differential equations, and model reduction.

      Wolfgang Dahmen received his PhD from RWTH Aachen in 1976 and his Habilitation from the University of Bonn. After an IBM Postdoctoral Fellowship at the IBM Research Center in Yorktown Heights, NY, he took (associate and full) professor positions at the University of Bielefeld and the Free University of Berlin before joining RWTH Aachen in 1992. In 2017 he became chaired professor at the University of South Carolina. Among his awards and honors are the Gottfried-Wilhelm-Leibniz Award, Keck Future Award of the US Academies (together with P. Binev, T. Vogt), election to the German National Academy of Sciences, Leopoldina, Robert-Piloti-Prize of the Technical University of Darmstadt, and SIAM Fellow. He has served on numerous Scientific Advisory boards such as the CRM in Barcelona and the Isaac Newton Institute in Cambridge, UK. From 2014 to 2017 he was the Chair of the Board of Directors of the Society Foundations of Computational Mathematics.
    • Politecnico di Milano, Dipartimento di Matematica edificio 14, via Giuseppe Ponzio 31/P, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

Innovative Teaching

Workshops
Seminars
Courses

Mathematical Engineering
Educational Program

PhD School
Mathematical Models and Methods in Engineering

PhD School DADS
(Data Analytics and Decision Sciences)

AIM Associazione degli Ingegneri Matematici
AIM
Associazione degli
Ingegneri Matematici