Welcome :-)

I am currently (sept. 2010 - aug. 2011) a post-doctoral fellow at the Laboratoire de Mathématiques Jean Leray, Université de Nantes.

Research Activities

My current research activity consists of numerical simulations of integral equations and their application to electrocardiology. It involves Boudary Element Method (BEM) and Fast Multipole Method (FMM) from the Finite Element approach.

Last year, I was involved in the making of numerical multi-level model, based on Domain Decomposition technics, for building's phenomena (radiation coupled with advection-diffusion equations).

My PhD deals with Geometric Integration for Partial Differential Equations (namely "Geometric integrators: Application to Fluid Mechanics", see below). The topic could be summarized as follows: assuming that the physical properties of a system are carried by the geometrical structure of the equations (in sense of the differential geometry), specially in their symmetry group, therefore it is natural to expect from numerical methods to preserve the symmetries of the continuous equations. Surprisingly it is in general not the case for most of standard numerical methods! My aim consisted to propose an algorithmic way of construction of such Lie-symmetry-based integrators, their implementation and the applications to Fluid Mechanics.
Link to some documents

Teaching Activities

I have given courses at the University of La Rochelle (from 2005 to 2009) and at the University of Nantes (2010). Most of my courses are related with Numerical Methods, Mathematics and Mechanics.
Link to some details

Marx Chhay

Professional address:

Laboratoire de Mathématiques Jean Leray
2, rue de la Houssinière - BP 92208
F-44322 Nantes Cedex 3,

phone:

+33 02 51 12 59 32

e-mail:

marx _dot_ chhay _at_ univ-nantes _dot_ fr

Research Activities

My PhD thesis

"Geometric Integrators: Application to Fluid Mechanics"

Publications :

"Comparison of some Lie-symmetry-based integrators"

M. Chhay

J. Comput. Phys.

"On accuracy of invariant numerical schemes"

M. Chhay

Commun. Pure Appl. Anal.

"Lie symmetry preservation by finite difference schemes for the Burgers equation"

M. Chhay

Symmetry.

"A new construction for invariant numerical schemes using moving frames"

M. Chhay

C. R. Acad. Sci. Meca.

Book Chapter :

"Symmetry in Turbulence Simulation"

M. Chhay

Numerical Simulation Research Progress.

Conferences :

"Invariant numerical schemes (Invited speaker)",
Numerical Methods for Complex Fluid Flows - Wolfgang Pauli Institute. Vienna - Austria, Sept. 21-25, 2009.

Conferences with proceedings:

"Une méthode multi-niveaux pour coupler radiation et advection-diffusion ",
joint Work with M. Pons. Société Française de Thermique. Perpignan, France, 2011.

"Un algorithme de construction de schémas invariants par les symétries de Lie",
Colloque SMAI/AUM - Congrès Français de Mécanique. Marseille, France, Aug. 24-28, 2009.

"Consistency in symmetry for numerical schemes",
International Congress of Theoretical and Applied Mechanics. Adelaide, Australia, Aug. 25-29, 2008.

"Invariant numerical scheme applied to transfer equation",
European Community on Computational Methods in Applied Sciences - Multiscale computational methods for solid and fluids. Paris-Cachan, France, Nov. 28-30, 2007.

"Schémas numériques symétrisés pour les équations de transfert",
Congrès Français de Mécanique. Grenoble, France, Aug. 27-31, 2007.

Teaching Activities

Most of my five years teaching activities concerned the Engineering Formation at the third year of BSc degree (Licence L3) and also at the first year of MSc degree (M1). I was involved in Lectures (L), Recitations (R) and Practical Teaching (PT), including grading activities.

2010-2011 : Vacation (28h - Université de Nantes)

Mathematics :

2008-2009 : 1/2 ATER (96h - Université de La Rochelle)

Numerical Methods :

Mathematics :

Mechanics :

2005-2008 : Monitorat (64h/year - Université de La Rochelle)

Numerical Methods :

Mathematics :

Mechanics :

Thesis folder