ITA

  • Meet Me Tonight 2017
    29 & 30 settembre Giardini Indro Montanelli

  • more PhD and PostDoc Positions at MOX – ERC Project iHEART

  • Polimi Fintech Journey

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

Laboratory of Modeling and Scientific Computing
MOX
Laboratory of
Modeling and
Scientific Computing
Laboratory of Mathematics Education and Scientific Experimentation
EFFEDIESSE
Laboratory of Education
and
Experimental Teaching
differential equations at polimi
differential equations
at polimi
Quantitative Finance LAB
Quantitative Finance
LAB
Game Theory And Computation (Group)
Game Theory And Computation
(Group)


Upcoming Events

  • sep
    28
    thu
    2017
    Seminar
    09-28-2017, 11:15 Models of living tissues, incompressible limit and free boundary
    Benoit Perthame

    • SEMINAR ON
    • Models of living tissues, incompressible limit and free boundary
    • Benoit Perthame, Laboratoire J.-L. Lions, Université Pierre et Marie Curie, Paris
    • Thursday, september 28 2017 at 11:15, Aula Consiglio VII Piano, Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
    • Abstract
      Tissue growth, as in solid tumors, can be described at a number of different scales from the individual cell to the organ. For a large number of cells, the ‘fluid mechanical’ approach has been advocated recently by many authors in mathematics, physics and biomecanics. Several levels of mathematical descriptions are commonly used, including elastic or visco-elastic effects, nutrients, active movement, surrounding tissue, vasculature remodeling and several other features.
      We will focus on the links between two types of mathematical models. The `compressible’ description is at he cell population density level and a more macroscopic, description is based on a free boundary problem close to the classical Hele-Shaw equation. Asymptotic analysis is a tool to derive these Hele-Shaw free boundary problems from cell density systems in the stiff pressure limit. This modeling also opens other questions as circumstances in which instabilities develop and questions on the regularity of the interface between heathy and cancerous tissues.
      This presentation follows collaborations with F. Quiros and J.-L. Vazquez (Universidad Autonoma Madrid), M. Tang (SJTU), N. Vauchelet (LJLL), A. Mellet (College Park), A. Lorz (LJLL) and T. Lorenzi (St Andrews).

      contact: pasquale.ciarletta@polimi.it

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • oct
    04
    wed
    2017
    Seminar
    10-04-2017, 14:00 Stabilized methods and inf-sup conditions
    Tomas Chacon Rebollo

    • SEMINAR ON
    • Stabilized methods and inf-sup conditions
    • Tomas Chacon Rebollo, Instituto de Matematicas, Universidad de Sevilla
    • Wednesday, october 4 2017 at 14:00, Aula Seminari “F. Saleri”, MOX
    • Abstract
      Stabilized methods provide a procedure to stabilize the various sources of instabilities that arise in the numerical simulation of incompressible fluid flows with reduced computational cost. It consists in adding to the standard Galerkin formulation specific terms aiming at stabilizing the possible sources of instabilities (convection dominance, pressure discretization,…). We shall describe an analysis technique for Navier-Stokes equations, in which the stability of the pressure discretization is based upon the existence of an underlying inf-sup condition between an augmented velocity space and the pressure space. We will next apply this kind of techniques to the discretization of the Primitive Equations of the Ocean. We will end by presenting an application to reduced-order modeling of turbulence.
      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
  • oct
    04
    wed
    2017
    Seminar
    10-04-2017, 15:00 Il test del dna per l’identificazione criminale: dalla biologia al calcolo delle probabilità
    Marco Bramanti E Dott. Giorgio Portera

    • SEMINAR ON
    • Il test del dna per l’identificazione criminale: dalla biologia al calcolo delle probabilità
    • Marco Bramanti E Dott. Giorgio Portera, Dipartimento di Matematica, Politecnico di Milano
    • Wednesday, october 4 2017 at 15:00, Aula Consiglio, 7° piano, edificio Nave, 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
  • oct
    05
    thu
    2017
    Seminar
    10-05-2017, 14:00 Use of routine databases in the design and analysis of surgical trials
    Linda Sharples

    • SEMINAR ON
    • Use of routine databases in the design and analysis of surgical trials
    • Linda Sharples, London School of Hygiene and Tropical Medicine
    • Thursday, october 5 2017 at 14:00, Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
    • Abstract
      A number of features of surgical interventions make their evaluation in randomised trials more difficult. For example, new procedures may be technically difficult to deliver so that surgical performance takes time to stabilise and outcomes may vary over time and between different surgeons. Moreover, there is a lack of trials culture among surgeons, so that efficient designs that are acceptable to the community are required. This talk will review some of the practical and technical issues involved in evaluations of surgical interventions, focusing on our work on the use of routine databases to explore learning curves, clustering between surgeons and the multiple component nature of the interventions. Some implications for design and analysis will be discussed and the limitations will be illustrated through the AMAZE trial in cardiac surgery patients who have a history of atrial fibrillation (irregular heart rhythm).

      Contact: francesca.ieva@polimi.it

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • oct
    06
    fri
    2017
    Seminar
    10-06-2017, 14:30 precise Spiralling solutions in limiting profiles of competition-diffusion systems
    Susanna Terracini

    • SEMINAR ON
    • Spiralling solutions in limiting profiles of competition-diffusion systems
    • Susanna Terracini, Università di Torino
    • Friday, october 6 2017 at 14:30 precise, Sala Consiglio, 7 piano, Edificio La Nave, Via Bonardi 9

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • oct
    17
    tue
    2017
    Seminar
    10-17-2017, 14:00 Tettonica delle placche polarizzata e terremoti
    Carlo Doglioni

    • SEMINAR ON
    • Tettonica delle placche polarizzata e terremoti
    • Carlo Doglioni, Dipartimento di Scienze della Terra, Università La Sapienza, Roma
    • Tuesday, october 17 2017 at 14:00, Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
    • Abstract
      La tettonica delle placche e? il combinato di effetti secolari quali il raffreddamento della Terra e la dinamica astronomica. Quest’ultima appare il modulatore dei meccanismi e causa della polarizzazione del sistema caotico e auto-organizzato della geodinamica. Fenomeni di lungo periodo sia interni che esterni al pianeta determinano una deformazione stazionaria, intervallata da eventi semi-istantanei. Entrambe le tipologie di fenomeni rappresentano il rilascio di energia in zone dove si crea un gradiente, sia esso di pressione o temperatura. I margini di placca rappresentano l’espressione di gradienti di velocita? tra le placche, controllati da gradienti di viscosita? nel canale a bassa velocita? alla base della litosfera, a loro volta controllati da variazioni laterali della composizione chimica del mantello. Il canale a bassa velocita? e? il piano di scollamento fondamentale della tettonica delle placche e appare come la sede principale di sviluppo del magmatismo terrestre. La cinematica delle placche che possiamo ricostruire e? fortemente vincolata dalla profondita? del magmatismo. La parte pellicolare della litosfera, caratterizzata da una reologia fragile per fenomeni di alta frequenza, rilascia energia gravitazionale negli ambienti tettonici estensionali (gravimoti) e invece elastica negli ambienti trascorrenti e compressivi EelastomotiI. L’energia si accumula in volumi di crosta superiore e le faglie non sono altro che le guide d’onda lungo cui una parte di questa energia viene incanalata dai volumi e dissipata in forma elastica durante un terremoto.

      Contact: edie.miglio@polimi.it

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • oct
    30
    mon
    2017
    Seminar
    10-30-2017, 16:30 Spectral theory, sum rules and large deviations
    Barry Simon

    • SEMINAR ON
    • Spectral theory, sum rules and large deviations
    • Barry Simon, California Institute of Technology
    • Monday, october 30 2017 at 16:30, Aula Chisini, via Saldini 50

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • nov
    20
    mon
    2017
    Seminar
    11-20-2017, 16:30 Randomness in partial differential equations
    Felix Otto

    • SEMINAR ON
    • Randomness in partial differential equations
    • Felix Otto, Max Plank Institute, Leipzig
    • Monday, november 20 2017 at 16:30, Aula Chisini, via Saldini 50

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • nov
    23
    thu
    2017
    Seminar
    11-23-2017, 14:00 Multi-scale and multi-physics modeling of complex flow and transport processes for energy storage in the subsurface
    Rainer Helmig

    • SEMINAR ON
    • Multi-scale and multi-physics modeling of complex flow and transport processes for energy storage in the subsurface
    • Rainer Helmig, Department of Hydromechanics and Modelling of Hydrosystems, University of Stuttgart
    • Thursday, november 23 2017 at 14:00, Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
    • Abstract
      The subsurface is being increasingly utilised both as a resource and as an energy and waste repository. Historically, there have been few issues of concern related to competition between resources, with groundwater contamination being a notable exception. However, with increasing exploitation, resource conflicts are becoming increasingly common and complex. Current issues in this regard include, for example, the long-range impact of mechanical, chemical and thermal energy storage on groundwater resources, and the complex effects surrounding hydraulic fracturing in both geothermal and shale gas production.
      To analyse and predict the mutual influence of subsurface projects and their impact on groundwater reservoirs, advanced numerical models are necessary. In general, these subsurface systems include processes of varying complexity occurring in different parts of the domain of interest. These processes mostly take place on different spatial and temporal scales. It is extremely challenging to model such systems in an adequate way, accounting for the spatially varying and scale-dependent character of these processes.
      In this seminar, we will give an overview of possible utilisation conflicts in subsurface systems and of how the groundwater is affected and review several model coupling concepts with a focus on the lecturer’s work in this field. The concepts are divided into temporal and spatial coupling concepts, where the latter are sub-divided into multi-process, multi-scale, multi-dimensional, and multi-compartment coupling strategies. We will present a large-scale simulation showing the general applicability of the modelling concepts of such complicated natural systems, especially the impact on the groundwater of simultaneously using geothermal energy and storing chemical and thermal energy. At the same time, we will show that such real large-scale systems provide a good environment for balancing the efficiency potential and possible weaknesses of the approaches discussed.

      Contact: anna.scotti@polimi.it


    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • nov
    30
    thu
    2017
    Seminar
    11-30-2017, 14:00 Numerical simulations of non-ideal compressible-fluid flows
    Alberto Guardone

    • SEMINAR ON
    • Numerical simulations of non-ideal compressible-fluid flows
    • Alberto Guardone, Dipartimento di Scienze e Tecnologie Aerospaziali, Politecnico di Milano
    • Thursday, november 30 2017 at 14:00, Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
    • Abstract
      In the close proximity of the liquid-vapour saturation curve and critical point, well-known thermodynamic phenomena including large compressibility and critical point effects results in very unusual fluid dynamics features, including non-ideal or rarefaction shock waves, mixed and split waves. This unconventional behaviour, which cannot occur in the ideal flow of dilute gases, is referred to as Non-Ideal Compressible-Fluid Dynamics or NICFD. The focus of this short lecture is to review the theoretical background of NICFD and to discuss the impact of highly non-ideal conditions on the design and properties of numerical schemes for compressible flows. Exemplary flow fields will be presented and compared to available experimental data from the Test-Rig for Organic VApours (TROVA) of Politecnico di Milano, a unique facility in which supersonic flows in non-ideal conditions can be measured and observed. The present results are obtained within the framework of the ERC Consolidator Grant NSHOCK, of which the presenter is the PI.

      contact: nicola.parolini@polimi.it

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • dec
    14
    thu
    2017
    Seminar
    12-14-2017, 14:00 Five decades of time parallel time integration: best current methods for parabolic and hyperbolic problems
    Martin Gander

    • SEMINAR ON
    • Five decades of time parallel time integration: best current methods for parabolic and hyperbolic problems
    • Martin Gander, Section de Mathématiques, Université de Geneve
    • Thursday, december 14 2017 at 14:00, Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
    • Abstract
      Time parallel time integration methods have received renewed interest over the last decade because of the advent of massively parallel computers, due to the clock speed limit reached on today’s processors. When solving time dependent partial differential equations, the time direction is usually not used for parallelization. But when parallelization in space saturates, the time direction offers itself as a further direction for parallelization. The time direction is however special, and for evolution problems there is a causality principle: the solution later in time is determined by the solution earlier in time, so the flow of information is just into the direction forward in time. Algorithms trying to use the time direction for parallelization must therefore be special, and take this very different property of the time dimension into account.

      I will show in this talk how time parallel time integration methods were invented over the past five decades, and give a classification into four different groups: methods based on multiple shooting,
      space-time multigrid methods, methods based on domain decomposition and waveform relaxation, and direct time parallel methods. The performance of these methods depends on the nature of the underlying evolution problem, and it turns out that for the first two classes of methods, time parallelization is only really possible for parabolic problems, while the last two classes can also be used to parallelize
      hyperbolic problems in time. I will also explain in more detail one of the methods from each class: the parareal algorithm and a space-time multigrid method, which are currently among the most promising methods for parabolic problems, and a Schwarz waveform relaxation method related to tent-pitching and a direct time parallel method based on diagonalization of the time stepping matrix, which are very effective for hyperbolic problems.

      Contact: marco.verani@polimi.it

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • jan
    18
    thu
    2018
    Seminar
    01-18-2018, 14:00 Combining in vitro and in silico approaches towards patient-specific cardiovascular investigations
    Gabriele Dubini

    • SEMINAR ON
    • Combining in vitro and in silico approaches towards patient-specific cardiovascular investigations
    • Gabriele Dubini, Department of Chemistry, Materials and Chemical Engineering G. Natta, Politecnico di Milano
    • Thursday, january 18 2018 at 14:00, Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
    • Abstract
      This seminar will outline the workflow developed at the Laboratory of Biological Structure Mechanics – LaBS, Politecnico di Milano. (www.labsmech.polimi.it) for the investigation of cardiovascular devices. The combined in vitro and in silico approach will be applied to the study of stenting procedures of peripheral arteries in idealized and patient-specific models as well as to the study of percutaneous aortic valves, where fluid-structure interaction simulations are required. Such examples will demonstrate the extent to which performances of minimally-invasive devices are related to their design, the materials and the applied loads.

      contact: christian.vergara@polimi.it

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • feb
    15
    thu
    2018
    Seminar
    02-15-2018, 14:00 Understanding heart tissue through waves
    D. Nordsletten

    • SEMINAR ON
    • Understanding heart tissue through waves
    • D. Nordsletten, Biomedical Engineering Department, King’s College, London
    • Thursday, february 15 2018 at 14:00, Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
    • Abstract
      Personalised models of cardiac mechanics have evolved into a powerful tool for studying the human heart in health and disease. Combining detailed information on the heart kinematics extracted from medical images, with mathematical models of cardiac function, patient-specific models provide a mathematical representation of individual hearts. As model parameters are linked to intrinsic tissue properties such as stiffness and contractility, unique and accurate parameter estimates are a prerequisite for the potential translation of personalised models to the clinic.

      In parallel, magnetic resonance elastography (MRE) has evolved into a powerful tool for interrogating material stiffness. MRE has been exploited in the liver, breast, and brain using measured periodic waves to extract material stiffness properties. Transducing waves via external vibrations, MRE provides a more direct measure of the characteristics of tissues and their potential diseases. Integrating this work into the heart is complicated by a myriad of challenges including the inherent cardiac motion of the heart, evolving material properties due to the contractile state of the muscle, and the nonlinear effects of deformation on the apparent stiffness of the material.

      In this talk, we discuss the merger of these two worlds, bridging between the nearly quasi-static model-based assessment of heart function and the high frequency wave-based assessment. In particular, we discuss the simple influence of deformation on apparent stiffness, explaining both from the realm of traditional wave mechanics and biomechanical theory.

      Contact: christian.vergara@polimi.it

    Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
  • feb
    22
    thu
    2018
    Seminar
    02-22-2018, 14:00 Tba
    Rolf Krause

    • SEMINAR ON
    • Tba
    • Rolf Krause, Center for Computational Medicine in Cardiology, Università della Svizzera italiana,
    • Thursday, february 22 2018 at 14:00, Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
    • Abstract
      TBA


      Contact: christian.vergara@polimi.it

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