Overall Objectives
Research Program
Application Domains
New Results
- Highlights of the Year
- Multi-revolution composition methods for highly oscillatory differential equations
- Multiscale schemes for the BGK-Vlasov-Poisson system in the quasi-neutral and fluid limits. Stability analysis and first order schemes
- Asymptotic preserving scheme for a kinetic model describing incompressible fluids
- Comparison of numerical solvers for anisotropic diffusion equations arising in plasma physics
- Asymptotic-Preserving scheme based on a Finite Volume/Particle-In-Cell coupling for Boltzmann- BGK-like equations in the diffusion scaling
- Hamiltonian splitting for the Vlasov-Maxwell equations
- A hybrid transport-diffusion model for radiative transfer in absorbing and scattering media
- Charge conserving grid based methods for the Vlasov-Maxwell equations
- Improving conservation properties of a 5D gyrokinetic semi-Lagrangian code
- Simulations of Kinetic Electrostatic Electron Nonlinear (KEEN) Waves with Variable Velocity Resolution Grids and High-Order Time-Splitting
- Gyroaverage operator on polar mesh
- A new fully two-dimensional conservative semi-Lagrangian method: applications on polar grids, from diocotron instability to ITG turbulence
- Uniformly accurate numerical schemes for highly oscillatory Klein-Gordon and nonlinear Schrödinger equations
- Asymptotic preserving schemes for the Wigner-Poisson-BGK equations in the diffusion limit
- Models of dark matter halos based on statistical mechanics: II. The fermionic King model
- Models of dark matter halos based on statistical mechanics: I. The classical King model
- Analysis of models for quantum transport of electrons in graphene layers
- Dimension reduction for anisotropic Bose-Einstein condensates in the strong interaction regime
- Superconvergence of Strang splitting for NLS in
- Strong confinement limit for the nonlinear Schrödinger equation constrained on a curve
- The fermionic King model
- Landau damping in Sobolev spaces for the Vlasov-HMF model
- Collisions of vortex filament pairs
- Asymptotic preserving schemes for the Klein-Gordon equation in the non-relativistic limit regime
- Analysis of a large number of Markov chains competing for transitions
- Coexistence phenomena and global bifurcation structure in a chemostat-like model with species-dependent diffusion rates
- Global behavior of N competing species with strong diffusion: diffusion leads to exclusion
- Randomized Message-Passing Test-and-Set
- Existence of densities for the 3D Navier–Stokes equations driven by Gaussian noise
- Diffusion limit for the radiative transfer equation perturbed by a Markovian process
- Diffusion limit for the radiative transfer equation perturbed by a Wiener process
Partnerships and Cooperations
Bibliography
Overall Objectives
Research Program
Application Domains
New Results
- Highlights of the Year
- Multi-revolution composition methods for highly oscillatory differential equations
- Multiscale schemes for the BGK-Vlasov-Poisson system in the quasi-neutral and fluid limits. Stability analysis and first order schemes
- Asymptotic preserving scheme for a kinetic model describing incompressible fluids
- Comparison of numerical solvers for anisotropic diffusion equations arising in plasma physics
- Asymptotic-Preserving scheme based on a Finite Volume/Particle-In-Cell coupling for Boltzmann- BGK-like equations in the diffusion scaling
- Hamiltonian splitting for the Vlasov-Maxwell equations
- A hybrid transport-diffusion model for radiative transfer in absorbing and scattering media
- Charge conserving grid based methods for the Vlasov-Maxwell equations
- Improving conservation properties of a 5D gyrokinetic semi-Lagrangian code
- Simulations of Kinetic Electrostatic Electron Nonlinear (KEEN) Waves with Variable Velocity Resolution Grids and High-Order Time-Splitting
- Gyroaverage operator on polar mesh
- A new fully two-dimensional conservative semi-Lagrangian method: applications on polar grids, from diocotron instability to ITG turbulence
- Uniformly accurate numerical schemes for highly oscillatory Klein-Gordon and nonlinear Schrödinger equations
- Asymptotic preserving schemes for the Wigner-Poisson-BGK equations in the diffusion limit
- Models of dark matter halos based on statistical mechanics: II. The fermionic King model
- Models of dark matter halos based on statistical mechanics: I. The classical King model
- Analysis of models for quantum transport of electrons in graphene layers
- Dimension reduction for anisotropic Bose-Einstein condensates in the strong interaction regime
- Superconvergence of Strang splitting for NLS in
- Strong confinement limit for the nonlinear Schrödinger equation constrained on a curve
- The fermionic King model
- Landau damping in Sobolev spaces for the Vlasov-HMF model
- Collisions of vortex filament pairs
- Asymptotic preserving schemes for the Klein-Gordon equation in the non-relativistic limit regime
- Analysis of a large number of Markov chains competing for transitions
- Coexistence phenomena and global bifurcation structure in a chemostat-like model with species-dependent diffusion rates
- Global behavior of N competing species with strong diffusion: diffusion leads to exclusion
- Randomized Message-Passing Test-and-Set
- Existence of densities for the 3D Navier–Stokes equations driven by Gaussian noise
- Diffusion limit for the radiative transfer equation perturbed by a Markovian process
- Diffusion limit for the radiative transfer equation perturbed by a Wiener process
Partnerships and Cooperations
Bibliography