Principaux axes de recherches du Laboratoire de Mathématiques Appliquées

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1 Principaux axes de recherches du Laboratoire de Mathématiques Appliquées Atelier de maillage industriel du CRM - Aéronautique Le Centre de Recherches Mathématiques 9 Mars, 2015 Adam Oberman, McGill University

2 Overview of the Lab A peu pres 20 membres, en plusieurs de McGill, Analyse numérique 3 membres U de Montreal, Aussi Concordia, Sherbrooke, Laval Les domaines de recherche: Equations aux Dérivées Partielles Équations différentielles et systèmes dynamiques biologie mathématique, chimie quantique, optimisation

pharmacie Modeling of infectious diseases Threshold

3 Jacques Bélair Professor, Mathematics, Université de Montréal Modélisation mathématique en physiologie et en pharmacie Modeling of infectious diseases Threshold Dynamics in an SEIRS Model with Latency and Temporary Immunity.

4 Anne Bourlioux Université de Montréal Fluid mechanics, Numerical partial differential equations Semi-Analytic Validation of a dynamic LES procedure for turbulent premixed flames via the G-equation

5 Robert Owens Université de Montréal Fluid dynamics, applications to blood flows Simulation numérique des fluides complexes Modélisation des fluides complexes Computational Rheology,

methods for computing (un) stable manifolds of vector fields AUTO:

6 Eusebius Doedel Professor, Concordia, Computer Science Dynamical Systems, Differential Equations Numerical Analysis A survey of methods for computing (un) stable manifolds of vector fields AUTO: A program for the automatic bifurcation analysis of autonomous systems

the atmosphere and oceans, theory and numerical methods

7 Peter Bartello Professor, Dept of Atmoshperic and Oceanic Sciences and Dept of Math and Stats fluid turbulence in the atmosphere and oceans, theory and numerical methods Quasigeostrophic and stratified turbulence in the atmosphere

theory stochastic, adaptive, large scale and hybrid systems

8 Peter Caines James McGill Professor and Macdonald Chair in the Department of Electrical and Computer Engineering control theory stochastic, adaptive, large scale and hybrid systems Mean Field Games Feedback between stationary stochastic processes,

9 Xiao-Wen Chang McGill Computer Science Scientific Computing, Numerical Linear Algebra Mobile Localization in Non-Line-of-Sight Using Constrained Square-Root Unscented Kalman Filter MILES: MATLAB package for solving Mixed Integer LEast Squares problems,

10 Rustum Choksi Professor, McGill Math Applied Analysis Material Science On the derivation of a density functional for microphase separation of diblock polymers

Differential Equations Dynamics of a Delay

11 Tony Humphries Associate Professor, McGill Math Dynamical Systems and Numerical Analysis Delay Differential Equations Dynamics of a Delay Differential Equation With Multiple State Dependent Delays,

Mechanics, partial differential equations,

12 Jean-Christophe Nave Associate Professor, McGill Math Numerical analysis Level Set Methods Fluid Mechanics, partial differential equations, Convecting reference frames and invariant numerical models

Difference Methods Numerical solution of the

13 Adam Oberman Associate Professor, McGill Math Nonlinear Partial Differential Equations Finite Difference Methods Numerical solution of the Optimal Transportation Problem using the Monge-Ampère equation

optmization, network routing and design, scheduling,

14 Bruce Shepherd Professor, McGill Math Theoretical: network optimization, algorithms, Applied: real-time optmization, network routing and design, scheduling, price optimization The All-or-nothing multicommodity flow problem

Numerical Methods Local convergence of adaptive

15 Gantumur Tsogterel Associate Professor, McGill Math Partial Differential Equations Adaptive Numerical Methods Local convergence of adaptive methods for nonlinear partial differential equations

16 Adrian Vetta Associate Professor, McGill Math & McGill Computer Science Discrete Mathematics and Theoretical Computer Science Algorithmic Game Theory Combinatorial Optimization Graph Theory False-name bidding and economic efficiency in combinatorial auctions.

moléculaire Université de Sherbrooke La chimie computationnelle et théorique,

17 André D. Bandrauk Chaire de recherche du Canada en chimie computationnelle et photonique moléculaire Université de Sherbrooke La chimie computationnelle et théorique, modélisation de nouvelles applications des lasers modernes à la chimiephysique. Probing Nuclear Motion by Frequency Modulcation of High Order Harmonic Generation

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