Deterministic particle method for Fokker-Planck equation with strong oscillations

Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Vlasov equations (35Q83) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Cites Work

Asymptotic preserving schemes for highly oscillatory Vlasov-Poisson equations
A formal series approach to averaging: exponentially small error estimates
Diffusion and guiding center approximation for particle transport in strong magnetic fields
Two-scale semi-Lagrangian simulation of a charged particle beam in a periodic focusing channel
Gyrokinetic particle simulation model
Uniformly accurate particle-in-cell method for the long time solution of the two-dimensional Vlasov-Poisson equation with uniform strong magnetic field
A blob method for diffusion
Large-time behavior of solutions to Vlasov-Poisson-Fokker-Planck equations: from evanescent collisions to diffusive limit
Numerical methods for the two-dimensional Vlasov-Poisson equation in the finite Larmor radius approximation regime
Anisotropic Boltzmann-Gibbs dynamics of strongly magnetized Vlasov-Fokker-Planck equations
Asymptotic analysis of parabolic equations with stiff transport terms by a multi-scale approach
Uniformly accurate numerical schemes for highly oscillatory Klein-Gordon and nonlinear Schrödinger equations
Exponential integrators
ON THE PARAXIAL APPROXIMATION OF THE STATIONARY VLASOV-MAXWELL SYSTEM
Finite Larmor radius approximation for collisional magnetic confinement. Part II: the Fokker-Planck-Landau equation
A Deterministic Approximation of Diffusion Equations Using Particles
Nonlinear gyrokinetic equations
LONG TIME SIMULATION OF A BEAM IN A PERIODIC FOCUSING CHANNEL VIA A TWO-SCALE PIC-METHOD
The Weighted Particle Method for Convection-Diffusion Equations. Part 1: The Case of an Isotropic Viscosity
LONG TIME BEHAVIOR OF THE TWO-DIMENSIONAL VLASOV EQUATION WITH A STRONG EXTERNAL MAGNETIC FIELD
Derivative-free high-order uniformly accurate schemes for highly oscillatory systems
Variational integrators for stochastic dissipative Hamiltonian systems
Uniformly Accurate Methods for Three Dimensional Vlasov Equations under Strong Magnetic Field with Varying Direction
Finite Larmor radius regime: Collisional setting and fluid models
Uniformly accurate methods for Vlasov equations with non-homogeneous strong magnetic field
Finite Larmor radius approximation for collisional magnetic confinement. Part I: The linear Boltzmann equation
Uniformly Accurate Forward Semi-Lagrangian Methods for Highly Oscillatory Vlasov--Poisson Equations
Multiscale Numerical Schemes for the Collisional Vlasov Equation in the Finite Larmor Radius Approximation Regime
A particle method for the homogeneous Landau equation

This page was built for publication: Deterministic particle method for Fokker-Planck equation with strong oscillations