ComPutATIONAL MATHEMATICS AND NUMERICAL ANALYSIS ANMC

Semester and Master projects


Semester projects 2015-2016

    A Local Time Stepping Method of Order 1 Using RKC1 and Implicit Euler, by Maximilian Mordig
    (supervision: A. Abdulle and G. Rosilho De Souza)
    Explicit stabilized methods for numerical integration of Neuron’s equations, by Nicolò Ripamonti
    (supervision: A. Abdulle and G. Rosilho De Souza)

Master projects 2015-2016

    High order numerical methods for the invariant measure of stochastic differential equations, by Elisabeth Speyer
    (supervision: A. Abdulle and T. Pouchon)

Semester projects 2013-2014

    Méthodes de composition pour les équations différentielles fortement oscillantes, by Boris Caudron
    (supervision: A. Abdulle and A. Blumenthal)
    Homogénéisation d'un problème de convection-diffusion, by Samira Amraoui
    (supervision: A. Abdulle and M. Huber)
    Homogenization a scalar one-dimensional elliptic problem and its numerical solution via sparse approximation of the solution operator, by Gilles Brunner
    (supervision: A. Abdulle and O. Budac)
    Numerical methods for trajectory optimisation, by Elena Queirolo
    (supervision: A. Abdulle and M. Huber)
    Modélistion de réactions chimiques, by Eugène Kviatkevitch
    (supervision: A. Abdulle and A. Blumenthal)
    Introduction à l'homogénéisation, by Yassine Amor
    (supervision: A. Abdulle and O. Jecker)
    Homogenization Theory and Inverse Problems, by Andrea Di Blasio
    (supervision: A. Abdulle and Y. Bai)
    Discrétisation par éléments finis de l'équation des ondes, by Laureline Hentgen
    (supervision: A. Abdulle and T. Pouchon)
    Atomistic-to-continuum coupling method, by Laureline Hentgen
    (supervision: A. Abdulle and O. Jecker )
    Méthodes Monte-Carlo et Quasi Monte-Carlo, by Marin-Jerry Nicolini
    (supervision: A. Abdulle and A. Blumenthal)
    Two-grid method for the interface coupling of the stokes and Darcy equations, by Antoine Imboden
    (supervision: A. Abdulle and O. Budác)

Master projects 2013-2014

    Application of stabilized explicit Runge-Kutta methods to the incompressible Navier-Stokes equations, by Giacomo Rosilho de Souza
    (supervision: A. Abdulle)
    Numerical Methods for Low-Thrust Trajectory Optimization, by Francesco Casalegno
    (supervision: A. Abdulle and M. Huber)

Semester projects 2011-2012

    Méthodes numériques pour prcessus stochastiques avec sauts, by Yoann Trellu
    (supervision: A. Abdulle and A. Blumenthal)
    Analytical and numerical study of exponential integrators, by Eugène Kviatkevitch
    (supervision: A. Abdulle and O. Budac)
    Analytical and numerical studies of heat conduction in heterogeneous materials, by Giacomo Rosilho De Souza
    (supervision: A. Abdulle and M. Huber)
    Méthodes numériques pour équations différentielles stochastiques avec applications à la propagation du potentiel dans un neurone, by Matthieu Wilhelm
    (supervision: A. Abdulle and A. Blumenthal)
    Méthodes numériques pour systèmes hamiltoniens du second ordre hautement oscillatoires,
    by Hélène Ruffieux
    (Supervision: A. Abdulle).
    Finite difference discretisation of elliptic and parabolic PDEs, by Jiabin Yu
    (Supervision: A. Abdulle and A. Nonnenmacher).
    Splitting methods with modified potentials and application to the damped wave equation,
    by Jonathan Rochat
    (Supervision: A. Abdulle and G. Vilmart)
    Variational integrators : variable time steps and symplecticity, by Timothée Pouchon
    (Supervision: A. Abdulle and G. Vilmart)

    Numerical simulation of diffusion and jump-diffusion processes with application to chemical kinetics, by Cyril Becker
    (Supervision: A. Abdulle and A. Blumenthal)

     

Master projects 2011-2012

 
    An Implicit Finite Element Method for the Landau-Lifshitz-Gilbert Equation with exchange and Magnetostriction, by Jonathan Rochat
    (supervisions: A. Abdulle and L. Banas)
    Study of resonance error in numerical homogenization, by Sylvain Rouge
    (supervision: A. Abdulle and A. Shapeev)
    The Multilevel Monte Carlo Method for SDEs driven by Jump-Diffusions with Applications in Finance, by Adrian Blumenthal
    (supervision: A. Abdulle and E. Buckwar)

     

Semester projects 2009-2010


    Resolution of an elliptic problem by homogenization, by Laura Lakatos
    (Supervision: A. Abdulle and A. Shapeev).
    Finite element Heterogeneous Multiscale Method for multiscale elliptic and wave equations, by Chen Peng
    (Supervision: A. Abdulle and G. Vilmart).
    Méthodes numériques pour équations différentielles stochastiques et étude de stabilité, par Sylvain Rouge,
    (Supervision: A. Abdulle).
    From atomistic to continuum mechanics: theoretical and numerical investigation, by Sylvain Rouge
    (Supervision: A. Abdulle and A. Shapeev).
    Numerical simulation of stochastic financial models, by Adrian Blumenthal
    (Supervision: A. Abdulle).

     

Master projects 2009-2010


    Runge-Kutta-Chebyshev methods for jump-diffusion stiff stochastic differential equations, by Abdelaziz Belqadhi (supervision: A. Abdulle)

Contacts

ANMC

EPFL-SB-MATH-ANMC
Station 8
CH-1015 Lausanne

Tél: +41 (0) 21 693 55 85
Fax: +41 (0) 21 693 58 39

 

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