Ateliers / Workshops

Workshop on High-dimensional Partial Differential Equation
in Science and Engineering

Atelier sur les équations aux dérivées partielles
de grande dimension en science et en génie


August 7-12 / 7-12 août 2005

PROGRAMME

Dimanche 7 août / Sunday August 7

08:30
Inscription (Salle 5345) et café (Salle 6245)
Registration (Room 5345) and Coffee (Room 6245)
08:50 - 09:00
Mot de bienvenue / Welcoming address
Président / Chair
Gilles H. Peslherbe
Theme
SYSTÈMES QUANTIQUES I / QUANTUM SYSTEMS I
09:00 - 09:50
David A. Mazziotti
First-order semidefinite programming for the two-electron treatment of many-electron atoms and molecules
09:50 - 10:10
Pause café / Coffee Break (Salle / Room 6245)
10:10 - 11:00
Andreas Savin
Model Hamiltonians for Better Approximations in
Electronic Systems
11:00 - 11:10
Pause / Break
11:10 - 12:00
Maria J. Esteban
Models for heavy atoms and molecules : theory and
computations
Période de déjeuner / Lunch time
Président / Chair
Matthias Ernzerhof
Theme
QUANTUM SYSTEMS II / SYSTÈMES QUANTIQUES II
14:30 - 15:20
André D. Bandrauk
Time-Dependent Density Functional (TDDFT) Methods
for Intense Laser Fields
15:20 - 15:40
Pause café / Coffee Break (Salle / Room 6245)
15:40 - 16:30
Goong Chen
A Dimension-Scaling Method for Diatomic Molecules
Using the Hyper-Prolate Spheroidal Coordinates
16:30
Reception (Salle / Room 6245)

Lundi 8 août / Monday, August 8

Président / Chair
André D. Bandrauk
Theme
COMPUTATIONAL METHODS FOR MULTIDIMENSIONAL SYSTEMS I /
MÉTHODES DE CALCUL POUR LES SYSTÈMES MULTIDIMENSIONNELS I
09:00 - 09:50
Éric Cancès
Numerical methods for high-dimensional Schrödinger
equations
09:50 - 10:10
Pause café / Coffee Break (salle /Room 6245)
10:10 - 11:00
Robert E. Wyatt
Solving the Time-Dependent Schrödinger Equation with
Trajectories: Application to Multi-mode Reactive
Scattering
11:00 - 11:10
Pause / Break
11:10 - 12:00
Michael Griebel
Sparse grids for high dimensional problems
Période de déjeuner / Lunch time
Président / Chair
Michel Delfour
Theme
COMPUTATIONAL METHODS FOR MULTIDIMENSIONAL SYSTEMS II
MÉTHODES DE CALCUL POUR LES SYSTÈMES MULTIDIMENSIONNELS II
14:30 - 15:20
Anthony T. Patera
Reduced-basis methods and a posteriori error
estimation for parametrized partial differential
equations; application to simple quantum models for
solid crystals
15:20 - 15:40
Pause café / Coffee Break (Salle / Room 6245)
15:40 - 16:30
Wagdi Habachi
In-Flight Icing Simulation: A Pacing Item for CFD
16:35 - 17:30
Graduate students and postdoctoral session I
Session I des étudiants gradués et boursiers postdoctoraux

Mardi 9 août / Tuesday, August 9

Président / Chair
Andreas Savin
Theme
QUANTUM SYSTEMS III / SYSTÈMES QUANTIQUES III
09:00 - 09:50
Pierre Degond
Quantum continuum models based on entropy
maximization
09:50 - 10:10
Pause café / Coffee Break (Salle / Room 6245)
10:10 - 11:00
Raymond E. Kapral
Simulating Quantum-Classical Liouville Dynamics
11:00 - 11:10
Pause / Break
11:10 - 12:00
Thomas Brabec
Few-/many body dynamics in strong fields
APRÈS-MIDI LIBRE / FREE AFTERNOON

Mercredi 10 août / Wednesday, August 10

Président / Chair
Claude Le Bris
Theme
MATHEMATICAL FINANCE / FINANCE MATHÉMATIQUE
09:00 - 09:50
Bernard Lapeyre
Linear and semi-linear high dimensionnal problems in
finance
09:50 - 10:10
Pause café / Coffee Break (Salle / Room 6245)
10:10 - 11:00
Luis Seco
A differential equation approach to the pricing of
credit derivatives
11:00 - 11:10
Pause / Break
11:10 - 12:00
Tom R. Hurd
PDEs for the nonlinear utility indifference price of
a large financial contract
Période de déjeuner / Lunch time
Président / Chair
Andre Fortin
Theme
POLYMERIC SYSTEMS / SYSTÈMES POLYMÉRIQUES
14:30 - 15:20
Robert G. Owens
Sparse tensor-product Fokker-Planck-based methods for
nonlinear bead-spring chain models of dilute polymer
solutions
15:20 - 15:40
Pause café / Coffee Break (Salle / Room 6245)
15:40 - 17:30
Graduate students and postdoctoral session II
Session II des étudiants gradués et boursiers postdoctoraux

15:40 - 16:00
Evgueni Sinelnikov
"High-order adiabatic representations of quantum
systems through a perturbative construction of
dynamical invariants"

16:05 - 16:25
Gerard Lagmago-Kamta
"Complex Scaling for Solving the Time-dependent
Schroedinger Equation for Diatomic molecules"

Jeudi 11 août / Thursday, August 11

Président / Chair
Éric Cancès
Theme
COMPUTATIONAL METHODS FOR MULTIDIMENSIONAL SYSTEMS III
MÉTHODES DE CALCUL POUR LES SYSTÈMES MULTIDIMENSIONNELS III
09:00 - 09:50
Yvon Maday
Parareal in time method: application to quantum control
and multi-model simulation
09:50 - 10:10
Pause café / Coffee Break (Salle / Room 6245)
10:10 - 11:00
André Fortin
Adaptive remeshing strategy for free surface
problems
11:00 - 11:10
Pause / Break
11:10 - 12:00
Michel Delfour
Cracked sets in image processing
Lunch Time / Période de déjeuner
Président / Chair
Robert G. Owens
14:30 - 15:20
Graduate students and postdoctoral session III
Session III des étudiants gradués et boursiers postdoctoraux

14:30 - 14:50
Emmanuel Lorin
"Recursion method for the electronic structure calculation"

14:55 - 15:15
Julien Salomon
"Controlling molecular orientation with non-zero temperature"

15:20 - 15:40
Coffee Break (Room 6245) / Pause-café (salle 6245)
15:40 - 17:30
Graduate students and postdoctoral session III
Session III des étudiants gradués et boursiers postdoctoraux

15:40 - 16:00
Debiprosad Roy Mahapatra
"Analysis of Thermoelasticity and First-order Kinetic
Coupling in Phase Transforming Solids"

Vendredi 12 août / Friday, August 12

Président / Chair
Maria J. Esteban
Theme
QUANTUM SYSTEMS IV / SYSTÈMES QUANTIQUES IV
09:00 - 09:50
Gilles H. Peslherbe
Nonadiabatic Molecular Dynamics Simulations:
Application to Photochemistry
09:50 - 10:10
Pause café / Coffee Break (Salle / Room 6245)
10:10 - 11:00
Matthias Ernzerhof
Stationarity principle for non-equilibrium states
11:00 - 11:10
Pause / Break
11:10 - 12:00
Michel Côté
Applications of density-functional theory with plane wave basis: use of FFT properties in parallelism
strategy
End of the workshop / Fin de l'atelier