Theme :
NUM

Presentation of the
Project-Team
- Activity Report in
PDF or XML format- Members
- Overall Objectives
- Scientific Foundations
- Application Domains
- New Results
- A Fast Multipole Method for Geometric Numerical Integrations of Hamiltonian Systems
- Composing B-series of integrators and vector fields
- On the weak order of the Euler Schemes for stochastic Partial Differential Equations
- From the N-body Schrödinger equation to the quantum Boltzmann equation: a term-by-term convergence result in the weak-coupling regime
- Time averaging for the strongly confined nonlinear Schrödinger equation, using almost periodicity
- Semiclassical resolvent estimates for Schrödinger operators with Coulomb singularities
- A reduced model for spatially structured predator-prey systems with fast spatial migrations and slow demographic evolutions
- Methodology and Computing in Applied Probability
- The strongly confined Schrödinger-Poisson system for the transport of electrons in a nanowire
- An averaging technique for highly-oscillatory Hamiltonian problems
- Splitting methods with complex times for parabolic equations
- An algebraic theory of order
- Birkhoff normal form and splitting methods for semi linear Hamiltonian PDEs. Part I: Finite dimensional discretization
- Birkhoff normal form and splitting methods for semi linear Hamiltonian PDEs. Part II: Abstract splitting
- A probabilistic approach of high-dimensional least-squares approximations
- Computing semi-classical quantum dynamics with Hagedorn wavepackets
- Conservative stochastic differential equations: Mathematical and numerical analysis
- Gauss-Hermite wavepacket dynamics: convergence of the spectral and pseudo-spectral approximation
- Analysis of splitting methods for reaction-diffusion problems using stochastic calculus
- Exponential Runge-Kutta methods for the Schrödinger equation
- Spatial approximation for solving ODEs
- A simple proof of the existence of adiabatic invariants for perturbed reversible problems
- Rounding errors
- The role of symplectic integrators in optimal control

- Other Grants and Activities
- Dissemination
- Bibliography