A particle method for the multispecies Landau equation

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx)

Cites Work

Unnamed Item
Techniques of functional analysis for differential and integral equations
A mass, momentum, and energy conserving, fully implicit, scalable algorithm for the multi-dimensional, multi-species Rosenbluth-Fokker-Planck equation
Higher-order time integration of Coulomb collisions in a plasma using Langevin equations
An adaptive, conservative 0D-2V multispecies Rosenbluth-Fokker-Planck solver for arbitrarily disparate mass and temperature regimes
A binary collision model for plasma simulation with a particle code
On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations
An entropy scheme for the Fokker-Planck collision operator of plasma kinetic theory
Fast algorithms for numerical, conservative, and entropy approximations of the Fokker-Planck-Landau equation
Multipole expansions for the Fokker-Planck-Landau operator
A blob method for diffusion
A discontinuous Galerkin fast spectral method for the multi-species Boltzmann equation
A fully non-linear multi-species Fokker-Planck-Landau collision operator for simulation of fusion plasma
Spectral gap and exponential convergence to equilibrium for a multi-species Landau system
A Practical Guide to Deterministic Particle Methods
On asymptotics of the Boltzmann equation when the collisions become grazing
THE FOKKER-PLANCK ASYMPTOTICS OF THE BOLTZMANN COLLISION OPERATOR IN THE COULOMB CASE
Random Batch Particle Methods for the Homogeneous Landau Equation
Fast spectral methods for the Fokker-Planck-Landau collision operator.
Convergence of a particle method for a regularized spatially homogeneous Landau equation
A particle method for the homogeneous Landau equation
The Landau equation as a Gradient Flow

This page was built for publication: A particle method for the multispecies Landau equation