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 oscillatoiresby 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 equationby 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)