ITA
  • Corso di Studi in Ingegneria Matematica, nuovo progetto di doppia laurea con EPFL
    Double degree Master Program between Politecnico di Milano and EPFL


MOX
Laboratory of
Modeling and
Scientific Computing

EFFEDIESSE
Laboratory of
Mathematics Education and
Scientific Experimentation

differential equations
at polimi

Quantitative Finance
LAB

Game Theory And Computation
(Group)

Upcoming Events

  • feb
    12
    fri
    2016
    Seminar
    02-12-2016, 11:30 Stochastic differential games and kinetic theory toward the modeling of behavioral social crowds
    Nicola Bellomo

    • SEMINAR ON
    • Stochastic differential games and kinetic theory toward the modeling of behavioral social crowds
    • Nicola Bellomo, King Abdullaziz University, Saudi Arabia — Politecnico di Torino
    • Friday, february 12 2016 at 11:30, Aula Seminari Saleri, VI PIANO MOX- Dipartimento di Matematica, POLITECNICO DI MILANO
    • Abstract
      This lecture aims at providing an answer that can be given to the following five key questions:

      1) Why a crowd is a \social, hence complex,” system?
      2) How mathematical sciences can contribute to understand the \behavioral dynamics of crowds”?
      3) How the crowd behaves in extreme situations such as panic and how models can depict them?
      4) Can a crowd be subject to large deviations (black swan)?
      5) By which mathematical tools multiscale features of a crowd can be treated?

      The answer to the key question takes advantage of recent research activity documented in the five titles in the bibliography. The answer opens to challenging research perspectives.

      [1] B.N. and C. Dogb´e, On the modeling of traffic and crowds: A survey of models, speculations,and perspectives, SIAM Rev., 53(3), (2011), 409–463.
      [2] B.N., Bellouquid A., and Knopoff D., From the micro-scale to collective crowd dynamics, SIAM Multiscale Model. Simul., 11(3) (2013), 943–963.
      [4] B.N. and Gibelli L., Toward a mathematical theory of behavioral-social dynamics for pedestrian crowds, Math. Models Methods Appl. Sci., 25 2417-2437, (2015).
      [5] B.N. and Bellouquid A., On multiscale models of pedestrian crowds – From mesoscopic to macroscopic, Comm. Math. Sci., 13(7) 1649–1664, (2015).

      http://staff.polito.it/nicola.bellomo/

      contact:luca.formaggia@polimi.it

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • feb
    18
    thu
    2016
    Seminar
    02-18-2016, 15:30 Semilinear elliptic pdes on complete manifolds with boundary
    Guglielmo Albanese

    • SEMINAR ON
    • Semilinear elliptic pdes on complete manifolds with boundary
    • Guglielmo Albanese, Università degli Studi di Milano
    • Thursday, february 18 2016 at 15:30, Aula seminari del 6 piano, Edificio La Nave, Dipartimento di Matematica, Via Bonardi 9, Milano

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • feb
    24
    wed
    2016
    Seminar
    02-24-2016, 11:30 precise Conformal geometry: some old and recent results
    Zindine Djadli

    • SEMINAR ON
    • Conformal geometry: some old and recent results
    • Zindine Djadli, Université Grenoble Alpes
    • Wednesday, february 24 2016 at 11:30 precise, Aula seminari III piano
    • Abstract
      In this talk I will review some results in conformal geometry. The talk will mainly focus on the applications of conformal geometry in rigidity results. The talk is aimed to be accessible to everyone, especially people not familiar with Riemannian geometry.

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • feb
    24
    wed
    2016
    Seminar
    02-24-2016, 17:00 Divergent series: from thomas bayes’s bewilderment to today’s resurgence via the rainbow
    Sir Michael Berry

    • SEMINAR ON
    • Divergent series: from thomas bayes’s bewilderment to today’s resurgence via the rainbow
    • Sir Michael Berry, H H Wills Physics Laboratory, Bristol, UK
    • Wednesday, february 24 2016 at 17:00, Sala Consiglio, 7 piano, Dipartimento di Matematica, Via Bonardi 9, Milano
    • Abstract
      Following the discovery by Bayes in 1747 that Stirling’s series for the factorial is divergent, the study of asymptotic series has today reached the stage of enabling summation of the divergent tails of many series with an accuracy far beyond that of the smallest term. Several of these advances sprang from developments of Airy’s theory of waves near optical caustics such as the rainbow. Key understandings by Euler, Stokes, Dingle and Écalle unify the different series corresponding to different parameter domains, culminating in the concept of resurgence: quantifying the way in which the low orders of such series reappear in the high orders.


    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • mar
    03
    thu
    2016
    Seminar
    03-03-2016, 11:00 Large scale flow simulations
    Barbara Wohlmuth

    • SEMINAR ON
    • Large scale flow simulations
    • Barbara Wohlmuth , TU München
    • Thursday, march 3 2016 at 11:00, Aula Seminari
    • Abstract
      Large scale flow problems play an important role in many multi-physics applications. In this talk, we consider different aspects such as the role of local mass conservation in a weak or strong setting and non-linear solution techniques in case of inequality constraints. Many natural pairings of conforming discrete spaces do not satisfy a uniform inf-sup condition and thus do have either to be stabilized or the velocity space has to be enriched. Quite often these standard techniques result in discrete velocities which do not yield strongly the divergence free condition. Here we propose easy to realize local a posteriori corrections which allow us to lift the $H^1$-conforming velocity onto a $H(\text{div})$-conforming mixed finite element, e.g. of Raviart–Thomas type. By doing so we achieve a significantly improved accuracy in case of coupled transport terms where, e.g., the velocity enters into the advective part of an energy equation. Secondly we consider an example from porous media flow and discuss the role of inequality constraints on the saturation. In contrast, to simple contact laws where a non-linear complementarity condition can be defined in terms of the max-function and affine terms, non-linear constitutive relations also enters. Thus the realizations of active set strategies are more involved. Nevertheless, robust numerical results can be obtained if combined with an adaptive time stepping scheme.

      contact: paola.antonietti@polimi.it


    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • mar
    15
    tue
    2016
    Seminar
    03-15-2016, 16:30 Liouville theorems in pde’s: old and new
    Enzo Mitidieri

    • SEMINAR ON
    • Liouville theorems in pde’s: old and new
    • Enzo Mitidieri, Università degli Studi di Trieste
    • Tuesday, march 15 2016 at 16:30, Sala Consiglio, 7 piano, Dipartimento di Matematica, Via Bonardi 9, Milano
    • Abstract
      We review some Liouville type results from the classical Cauchy-Liouville theorem for harmonic functions up to some recent contributions related to quasilinear second order and semilinear higher order problems.

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568