Inria
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Raweb 2006
Presentation of the Project IPSO
Logo Inria
IPSO
Invariant Preserving Solvers
2006 Research Team Activity Report
Rennes - Bretagne-Atlantique
Theme :
NUM
Presentation of the Project-Team
- Activity Report in
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Members
Overall Objectives
An overview of geometric numerical integration
Overall objectives
Scientific Foundations
Structure-preserving numerical schemes for solving ordinary differential equations
Highly-oscillatory systems
Geometric schemes for the Schrödinger equation
High-frequency limit of the Helmholtz equation
From the Schrödinger equation to Boltzmann-like equations
Spatial approximation for solving ODEs
Application Domains
Laser physics
Molecular Dynamics
New Results
Gaussian wave packets
From the Bloch model to the rate equations
From the Schrödinger to the Boltzmann equation
High frequency limit of the Helmholtz equation
An algebraic approach to invariant preserving integrators
An algebraic counterpart of modified equations
Accurate rigid body integrators
Symplectic integrators in sub-Riemannian geometry: the Martinet case
Preserving first integrals and volume forms of additively split systems
Splitting methods for the linear Schrödinger equation
Molecular dynamics in a shaker
Spatial approximation for solving ODEs
Contracts and Grants with Industry
Other Grants and Activities
National Grants
Dissemination
Program committees, editorial Boards and organization of conferences
INRIA and University committees
Teaching
Participation in conferences
International exchanges
Bibliography
Major publications
Publications of the year
References in notes
