• Development of C++ release of finite element software Melina implemented by Daniel Martin, Numerical Analysis team of I.R.M.A.R. (UMR 6625), University of Rennes I and POEMS laboratory (UMR 2706).
• Development of associated tools.

Implementation of adaptative Aitken-Schwarz method to Darcy 3D equation with strong variations of permeability (random behaviour following a lognormal law). This work is part of ANR Calcul Intensif et Simulation 2007 Micas (Modelling and Intensive Computation for Aquifer Simulations). Partners :

• SAGE team of INRIA Rennes
• Transferts team of UMR 6118 Geosciences, Rennes
• LMPG group of Waves and Complex Media Laboratory of University of Le Havre
• National network for hydrogeological sites Ore H+

Title : Multi-Scale gravitational Dynamics : formation and evolution of a self-gravitating system in an external field.

Supervisors : Marc Lenoir and Jérôme Perez (U.M.A / E.N.S.T.A.)

Development of an intensive computation algorithm adapted to gravitation and to the multiscale characteristic of the considered systems. The aim is to study the evolution of systems such as a globular cluster in its host galaxy.

defended on February 6th, 2009

Committee :

• Grégoire Allaire (C.M.A.P. / École Polytechnique) - President of Committee
• Daniel Pfenniger (Observatoire de Genève) - Referee
• Jean-Jacques Aly (Service d'Astrophysique / C.E.A.) - Referee
• Christian Boily (Observatoire de Strasbourg) - Referee

under the supervision of Jérôme Perez

Development of a numerical Fortran 77 code for the simulation of a N body system in an external analytic potential, in order to model the interactions between a globular cluster and its host galaxy.

under the supervision of Christophe Sauty

Conception of a numerical C++ code MHD, for the simulation of stationary relativistic spherical winds, with spectral methods.

Supervisors : Marc Lenoir and Jérôme Perez (U.M.A / E.N.S.T.A.)

• Development of a computation code (FORTRAN 77, parallelized with the MPI library) dedicated to the simulation of a N body selfgravitating system in an external field, in order to study the interactions between a globular cluster and its host galaxy.
• Development of a spectral tool that analyses the dynamical structure of N body selfgravitating systems, in order to highlight chraracteristical properties of the two classes of steady state systems studied in a previous Phd work.

• Modelling in Astrophysics.
• Modelling the equations of Physics.
• Interactions laser-plasma.
• Modelling the Maxwell equations.
• Modelling in environment studies.

• Specialization : "Mathematical Modelling"
• Path : "Simulations in Mathematical Engineering"
• Optional courses : "Applications of Spectral Theory", "Geometrical View of Physics"

half-time in 07-08, full-time in 08-09

• Génie Logiciel I CM (08-09), TD/TP (07-08)
  • Object-oriented programming in C++
  • Application to scientific computation : implementation of classes of sparse matrices (aij, csr, full) : elementary matricial operations and some Krylov solvers
• Génie Logiciel II CM (08-09), TD/TP (07-08)
  • Software building, U.M.L.
  • Graphical user interfaces in Java/Swing
• Méthodes Numériques pour le Calcul Haute Performance TP
  • Parallel computation with M.P.I.
  • Application to the implementation of a Schwarz-Jacobi solver for 1D and 2D Poisson problems
• Méthodes Numériques de Base TD (08-09)
  • Finding zeros
  • Interpolation and numerical integration
  • Differential equations and matricial systems
• Analyse Vectorielle TD (08-09)
• Permis de Conduire Informatique TD/TP (08-09)
  • Introduction to networks
  • Office softwares : spreadsheets and databases
• Outils et Calcul Scientifique CM/TP (08-09), TD/TP (07-08)
  • Fortran 90, BLAS, LAPACK
  • Source code validation and verification
  • Application to scientific computation : implementation and using of structures of sparse matrices (aij, csr, csc, band, full, pack) and elementary operations

• MAP 431 Course : "Analyse numérique et optimisation : Une introduction à l'analyse numérique et à la modélisation mathématique"
  Teachers in charge : Gregoire Allaire and Olivier Pantz.
  • Practical Work on Finite Differences with Scilab and Finite elements with Freefem++
  • Correction of written exam
  • Elaboration and management of numerical work.
  • Guidance : revising courses, update course in Scilab.
  • Management of bigger numerical work for a student repeating a year
• MAP 311 Course : "Probabilités et statistiques"
  • Practical work on Initiation to Scilab
  • Guidance : Revising course (2007)