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Direttore Vicario: Prof. Gabriele Grillo
Responsabile Gestionale: Dr.ssa Franca Di Censo


News

17/02/2020



Seminari di Cultura Matematica
2020 - XIX ciclo

10/02/2020



Civil Week Milano
Edufin@polimi - 6 marzo 2020

27/01/2020



Modelling the Cardiac Function - Convegno iHEART
 more

27/01/2020



Contest
 more

15/01/2020



Il cielo sopra Giza - Giulio Magli e Maria Eugenia D'Aquino
Civico Planetario di Milano - venerdì 31 gennaio 2020 - ore 21.00

10/01/2020



PIday 2020 e Giornata Internazionale della Matematica
13 marzo 2020

10/01/2020


10/01/2020



June 11-12, 2020

  Dicono di noi...

Prossimi Eventi

  • feb 25 mar 2020

    MOX Seminar
    Elena Bachini, Geometrically intrinsic modeling of shallow water flows,  25-02-2020, ore 16:00
    logo matematica
    MOX
    MOX Numeth
    MOX Compgeo

    • MOX Seminar
    • Elena Bachini
    • Università degli Studi di Padova
    • Geometrically intrinsic modeling of shallow water flows
    • Martedì 25 febbraio 2020 alle ore 16:00
    • Aula Saleri, VI piano
    • Abstract
      Shallow water models of geophysical flows must be adapted to geometric characteristics in the presence of a general bottom topography with non-negligible slopes and curvatures, such as a mountain landscape. In this work we derive an intrinsic shallow water model from the Navier-Stokes equations defined on a local reference frame anchored on the bottom surface. The resulting equations are characterized by non-autonomous flux functions and source terms embodying only the geometric information. We show that the proposed model is rotational invariant, admits a conserved energy, is well-balanced, and it is formally a second order approximation of the Navier-Stokes equations with respect to a geometry-based order parameter. We then derive a numerical discretization by means of a first order upwind Godunov Finite Volume scheme intrinsically defined on the bottom surface. We study convergence properties of the resulting scheme both theoretically and numerically. Next, we extend the approach to derive a second order Discontinuous Galerkin method and show its properties.
      Simulations on several synthetic test cases are used to validate the theoretical results as well as more experimental properties of the solver. The results show the importance of taking into full consideration the bottom geometry even for relatively mild and slowly varying curvatures.


      Contatto: luca.bonaventura@polimi.it
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • feb 26 mer 2020

    Seminar
    Giulia Cavagnari, Lagrangian and eulerian formulations for multi-agent optimal control problems,  26-02-2020, ore 15:15
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    • Seminar
    • Giulia Cavagnari
    • Politecnico di Milano
    • Lagrangian and eulerian formulations for multi-agent optimal control problems
    • Mercoledì 26 febbraio 2020 alle ore 15:15
    • Aula seminari 3° piano
    • Abstract
      In this talk we present and compare two approaches to study deterministic optimal control problems for interacting multi-agent systems: Lagrangian and Eulerian.
      Different research fields comes into play: optimal control and transport theory to set out the variational model and analyze the underlying principles, and a random variable approach to deal with the problem in its various Lagrangian formulations on a fixed probability space ? (space of parametrizations).
      On one side, the state of the system is expressed by a random variable in L^2(?) and the nonlocal velocity field driving the dynamics depends on the realizations of a Borel measurable control map. The lack of existence of minimizers for a generic cost functional, even after relaxation, makes it fundamental to recover optimality through the study of the problem from an Eulerian viewpoint. Here the problem is set in the 2-Wasserstein space of probability measures. The relation with the previous approach lies on the identification of the time-dependent measure, solving a controlled continuity equation, as the law of the evolving random variable.
      After stating the problem, we prove the equivalence between the Lagrangian and Eulerian value functions through an intermediate formulation based on the Superposition Principle by Ambrosio-Gigli-Savaré.
      Finally we deal with stability and ?-convergence results for the corresponding problems involving a finite number of agents to the mean-field ones.
      This is a joint work with Stefano Lisini (University of Pavia), Carlo Orrieri (University of Trento) and Giuseppe Savaré (University of Pavia).
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • feb 28 ven 2020

    MOX Seminar
    Wolfgang Bangerth, Finite element methods at realistic complexities,  28-02-2020, ore 14:00
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    MOX
    MOX Numeth
    MOX HPC

    • MOX Seminar
    • Wolfgang Bangerth
    • Department of Mathematics, Campus Delivery, Fort Collins, CO, USA NUMETH-HPC
    • Finite element methods at realistic complexities
    • Venerdì 28 febbraio 2020 alle ore 14:00
    • Aula Saleri VI piano
    • Abstract
      Solving realistic, applied problems with the most modern numerical methods introduces many levels of complexity. In particular, one has to think about not just a single method, but a whole collection of algorithms: a single code may utilize fully adaptive, unstructured meshes; nonlinear, globalized solvers; algebraic multigrid and block preconditioners; and do all this on
      1,000 processors or more with realistic material models.
      Codes at this level of complexity can no longer be written from scratch. However, over the past two decades, many high quality libraries have been developed that make writing advanced computational software simpler. In this talk, I will briefly introduce the deal.II finite element library
      (http://www.dealii.org) whose development I co-lead and show how it has enabled us to develop the ASPECT code (http://aspect.geodynamics.org) for simulation of convection in the earth mantle. I will discuss some of the results obtained with this code and comment on the lessons learned from developing this massively parallel code for the solution of a complex problem.


      Contatto: luca.dede@polimi.it


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

  • mar 04 mer 2020

    Seminar
    Stefano Biagi, Some global results for homogeneous hormander sums of squares,  04-03-2020, ore 15:15
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    • Seminar
    • Stefano Biagi
    • Politecnico di Milano
    • Some global results for homogeneous hormander sums of squares
    • Mercoledì 4 marzo 2020 alle ore 15:15
    • Aula seminari 3° piano
    • Abstract
      In this talk we present several global results concerning homogeneous Hormander sums of squares L.
      These operators intervene in various contexts of interest, such as CR geometry, Lie group Theory, sub-Riemannian manifolds, Mathematical Finance, etc.
      After a brief introduction on general sub-elliptic operators (of which our L’s are a particular case), we properly introduce the class of the homogeneous Hormander sums of squares and we discuss some global `qualitative' aspects regarding these operators: global lifting on Carnot groups; existence/global estimates for the associated fundamental solution and heat kernel; maximum principles on unbounded domains.

      The results presented in this talk are contained in several papers in collaboration with A. Bonfiglioli, M. Bramanti and E. Lanconelli.
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • mar 11 mer 2020

    Seminar
    Maurizio Melis, Comunicare la scienza: manuale di sopravvivenza,  11-03-2020, ore 12:15
    logo matematica
    • Seminar
    • Maurizio Melis
    • Giornalista scientifico
    • Comunicare la scienza: manuale di sopravvivenza
    • Mercoledì 11 marzo 2020 alle ore 12:15
    • aula B21
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • mar 12 gio 2020

    MOX Colloquia
    Herbert De Gersem, Modelling and simulation of magnetoquasistatic and electroquasistatic fields,  12-03-2020, ore 14:00
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    MOX
    MOX Fluids

    • MOX Colloquia
    • Herbert De Gersem
    • Institute for Accelerator Science and Electromagnetic Fields (TEMF), TU Darmstadt, Germany
    • Modelling and simulation of magnetoquasistatic and electroquasistatic fields
    • Giovedì 12 marzo 2020 alle ore 14:00
    • Dip. di Matematica, Politecnico di Milano ed. 14 "La Nave", via Ponzio 31/P- Aula Consiglio, VII piano
    • Abstract
      Magnetoquasistatic field problems arise in, e.g., transformers, electric machines and superconducting magnets. Electroquasistatic field problems arise in high-voltage engineering and on printed circuit boards. Both are expressed by a nonlinear parabolic partial differential equation, which is typically discretised by finite elements on an unstructured tetrahedral mesh and time-stepped by implicit methods. The talk addresses contemporary challenges such as, e.g., the increasing level of detail, multiphysical phenomena, multirate behaviour and nontrivial materials. Recent developments in numerical methods dedicated to the quasistatic setting will be discussed, e.g., hybrid spatial discretisation schemes, field-circuit coupling, multirate time stepping and sparse surrogate modelling. The methods will be illustrated by examples from electrical engineering and accelerator science.

      Contatto: carlo.defalco@polimi.it
    • Herbert De Gersem
      Herbert De Gersem is born in 1971 and obtained the MSc and PhD degrees in electrical engineering at the KU Leuven (Belgium) in 1994 and 2001, respectively. From 2001 to 2006, he worked as a postdoc at TU Darmstadt (Germany). Since 2006, he is an associated professor at the KU Leuven. Since 2014, he is a full professor at the TU Darmstadt (www.temf.de). He authored and co-authored more than 130 publications in international journals. His major research topics are electromagnetic field simulation with volumetric discretisation methods (finite element method, finite integration technique, discontinuous Galerkin method) and the application thereof to electrical energy transducers (machines, actuators, transformers) and accelerator components (conventional and superconductive magnets and resonating cavities).
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • mar 13 ven 2020

    Convegno
    Piday2020
    13/03/2020
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    • CONVEGNO
    • Piday2020
    • organizzatori
      Laboratorio
    • Venerdì 13 marzo 2020 - Venerdì 13 marzo 2020
      aula Rogers - via Ampère, 2
    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568
  • mar 18 mer 2020

    Seminar
    Stefano Capolongo, Design and health,  18-03-2020, ore 12:15
    logo matematica
    • Seminar
    • Stefano Capolongo
    • Politecnico di Milano
    • Design and health
    • Mercoledì 18 marzo 2020 alle ore 12:15
    • aula B21
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • mar 25 mer 2020

    Seminar
    Paolo Biscari, Geometria iperbolica: da escher alle deformazioni plastiche,  25-03-2020, ore 12:15
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  • mar 25 mer 2020

    Seminar
    Benedetta Noris, Radial positive solutions for a class of neumann problems without growth conditions,  25-03-2020, ore 15:15
    logo matematica
    • Seminar
    • Benedetta Noris
    • Politecnico di Milano
    • Radial positive solutions for a class of neumann problems without growth conditions
    • Mercoledì 25 marzo 2020 alle ore 15:15
    • Aula seminari 3° piano
    • Abstract
      We consider a class of semilinear and quasilinear partial differential equations on bounded radial domains, subject to homogeneous Neumann boundary conditions. The nonlinear term is possibly supercritical in the sense of Sobolev embeddings.
      We investigate the existence of positive non-constant radial solutions: we prove existence and multiplicity, and examine the oscillatory behavior.
      In case the nonlinearity is subcritical in the sense of Sobolev embeddings, we also prove a priori bounds of solutions.
      The talk is based on papers in collaboration with several authors.
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • apr 22 mer 2020

    Seminar
    Fabio Peri, ''l'amor che move il sole e l'altre stelle''. il cielo nella divina commedia,  22-04-2020, ore 12:15
    logo matematica
  • apr 29 mer 2020

    Seminar
    Giovanni Corrao, Dati ed evidenze del mondo reale. un'occhiata al metodo,  29-04-2020, ore 12:15
    logo matematica
    • Seminar
    • Giovanni Corrao
    • Università degli Studi di Milano-Bicocca
    • Dati ed evidenze del mondo reale. un'occhiata al metodo
    • Mercoledì 29 aprile 2020 alle ore 12:15
    • aula B21
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • mag 06 mer 2020

    Seminar
    Marco Bramanti, La delta di dirac: storia di un mostro,  06-05-2020, ore 12:15
    logo matematica
    • Seminar
    • Marco Bramanti
    • Politecnico di Milano
    • La delta di dirac: storia di un mostro
    • Mercoledì 6 maggio 2020 alle ore 12:15
    • aula B21
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • mag 13 mer 2020

    Seminar
    Camilla Colombo, Progetto compass: control for orbit manoeuvring through perturbations for application to space systems,  13-05-2020, ore 12:15
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  • mag 20 mer 2020

    Seminar
    Lorenzo Brufani, Gestire la comunicazione di situazioni di crisi,  20-05-2020, ore 12:15
    logo matematica
    • Seminar
    • Lorenzo Brufani
    • Competence CEO
    • Gestire la comunicazione di situazioni di crisi
    • Mercoledì 20 maggio 2020 alle ore 12:15
    • aula B21
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • mag 27 mer 2020

    Seminar
    Giuseppe Toscani, Meccanica statistica e fenomeni sociali,  27-05-2020, ore 12:15
    logo matematica
    • Seminar
    • Giuseppe Toscani
    • Università di Pavia
    • Meccanica statistica e fenomeni sociali
    • Mercoledì 27 maggio 2020 alle ore 12:15
    • aula B21
    • Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

  • giu 11 gio 2020

    giu 12 ven 2020

    Convegno
    Big data and machine learning in finance
    11/06/2020 - 12/06/2020
    logo matematica
    • CONVEGNO
    • Big data and machine learning in finance
    • organizzatori
      Emilio Barucci (Politecnico di Milano, chair), Filippo Della Casa (UNIPOL), Paolo Giudici (Università di Pavia), Daniele Marazzina (Politecnico di Milano), Andrea Prampolini (Banca IMI), Marcello Restelli (Politecnico di Milano).
    • Giovedì 11 giugno 2020 - Venerdì 12 giugno 2020
      Sala Consiglio - piano 7° - edificio 14
    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

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