Overall Objectives
Research Program
New Results
- Uniformly accurate numerical schemes for highly-oscillatory Klein-Gordon and nonlinear Schrödinger equation
- Higher-order averaging, formal series and numerical integration III: error bounds
- Stroboscopic averaging for the nonlinear Schrödinger equation
- Uniformly accurate time-splitting schemes for NLS in the semiclassical limit
- Gyroaverage operator for a polar mesh
- Asymptotic Preserving scheme for a kinetic model describing incompressible fluids
- Numerical schemes for kinetic equations in the diffusion and anomalous diffusion limits. Part I: the case of heavy-tailed equilibrium
- Comparison of numerical solvers for anisotropic diffusion equations arising in plasma physics
- Hamiltonian splitting for the Vlasov-Maxwell equations
- Multiscale numerical schemes for kinetic equations in the anomalous diffusion limit
- High-order Hamiltonian splitting for Vlasov-Poisson equations
- Asymptotic Preserving numerical schemes for multiscale parabolic problems
- Parallelization of an advection-diffusion problem arising in edge plasma physics using hybrid MPI/OpenMP programming
- Numerical schemes for kinetic equations in the anomalous diffusion limit. Part II: degenerate collision frequency
- Analysis of the Monte-Carlo error in a hybrid semi-Lagrangian scheme
- Resonant time steps and instabilities in the numerical integration of Schrödinger equations
- Collisions of almost parallel vortex filaments
- On numerical Landau damping for splitting methods applied to the Vlasov-HMF model
- A kinetic model for the transport of electrons in a graphen layer
- Dimension reduction for dipolar Bose-Einstein condensates in the strong interaction regime
- The Interaction Picture method for solving the generalized nonlinear Schrödinger equation in optics
- Nonlinear stability criteria for the HMF Model
- Dimension reduction for rotating Bose-Einstein condensates with anisotropic confinement
- Dimension reduction for anisotropic Bose-Einstein condensates in the strong interaction regime
- Models of dark matter halos based on statistical mechanics: I. The classical King model
- Numerical study of a quantum-diffusive spin model for two-dimensional electron gases
- Numerical analysis of the nonlinear Schrödinger equation with white noise dispersion
- A regularity result for quasilinear stochastic partial differential equations of parabolic type
- Diffusion limit for the radiative transfer equation perturbed by a Wiener process
- Invariant measure of scalar first-order conservation laws with stochastic forcing
- An integral inequality for the invariant measure of a stochastic reaction-diffusion equation
- Estimate for for the stochastic Burgers equation
- Existence of the Fomin derivative of the invariant measure of a stochastic reaction-diffusion equation
- Global behavior of competing species with strong diffusion: diffusion leads to exclusion
- Randomized message-passing test-and-set
Partnerships and Cooperations
Bibliography
Overall Objectives
Research Program
New Results
- Uniformly accurate numerical schemes for highly-oscillatory Klein-Gordon and nonlinear Schrödinger equation
- Higher-order averaging, formal series and numerical integration III: error bounds
- Stroboscopic averaging for the nonlinear Schrödinger equation
- Uniformly accurate time-splitting schemes for NLS in the semiclassical limit
- Gyroaverage operator for a polar mesh
- Asymptotic Preserving scheme for a kinetic model describing incompressible fluids
- Numerical schemes for kinetic equations in the diffusion and anomalous diffusion limits. Part I: the case of heavy-tailed equilibrium
- Comparison of numerical solvers for anisotropic diffusion equations arising in plasma physics
- Hamiltonian splitting for the Vlasov-Maxwell equations
- Multiscale numerical schemes for kinetic equations in the anomalous diffusion limit
- High-order Hamiltonian splitting for Vlasov-Poisson equations
- Asymptotic Preserving numerical schemes for multiscale parabolic problems
- Parallelization of an advection-diffusion problem arising in edge plasma physics using hybrid MPI/OpenMP programming
- Numerical schemes for kinetic equations in the anomalous diffusion limit. Part II: degenerate collision frequency
- Analysis of the Monte-Carlo error in a hybrid semi-Lagrangian scheme
- Resonant time steps and instabilities in the numerical integration of Schrödinger equations
- Collisions of almost parallel vortex filaments
- On numerical Landau damping for splitting methods applied to the Vlasov-HMF model
- A kinetic model for the transport of electrons in a graphen layer
- Dimension reduction for dipolar Bose-Einstein condensates in the strong interaction regime
- The Interaction Picture method for solving the generalized nonlinear Schrödinger equation in optics
- Nonlinear stability criteria for the HMF Model
- Dimension reduction for rotating Bose-Einstein condensates with anisotropic confinement
- Dimension reduction for anisotropic Bose-Einstein condensates in the strong interaction regime
- Models of dark matter halos based on statistical mechanics: I. The classical King model
- Numerical study of a quantum-diffusive spin model for two-dimensional electron gases
- Numerical analysis of the nonlinear Schrödinger equation with white noise dispersion
- A regularity result for quasilinear stochastic partial differential equations of parabolic type
- Diffusion limit for the radiative transfer equation perturbed by a Wiener process
- Invariant measure of scalar first-order conservation laws with stochastic forcing
- An integral inequality for the invariant measure of a stochastic reaction-diffusion equation
- Estimate for for the stochastic Burgers equation
- Existence of the Fomin derivative of the invariant measure of a stochastic reaction-diffusion equation
- Global behavior of competing species with strong diffusion: diffusion leads to exclusion
- Randomized message-passing test-and-set
Partnerships and Cooperations
Bibliography
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