Numerical passage from kinetic to fluid equations

Implicit—Explicit Schemes for BGK Kinetic Equations

Journal of Scientific Computing

Uniformly stable numerical schemes for the Boltzmann equation preserving the compressible Navier-Stokes asymptotics

Journal of Computational Physics

A general strategy for designing seamless multiscale methods

Journal of Computational Physics

A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources

Journal of Computational Physics

A unified gas-kinetic scheme for continuum and rarefied flows

Journal of Computational Physics

An Asymptotic Preserving Scheme for the ES-BGK Model of the Boltzmann Equation

Journal of Scientific Computing

Fluid Solver Independent Hybrid Methods for Multiscale Kinetic Equations

SIAM Journal on Scientific Computing

Microscopically implicit-macroscopically explicit schemes for the BGK equation

Journal of Computational Physics

Exponential Runge-Kutta Methods for Stiff Kinetic Equations

SIAM Journal on Numerical Analysis

A hybrid method for hydrodynamic-kinetic flow - Part II - Coupling of hydrodynamic and kinetic models

Journal of Computational Physics

Discontinuous Galerkin Approximation of Relaxation Models for Linear and Nonlinear Diffusion Equations

SIAM Journal on Scientific Computing

An interpretation and derivation of the lattice Boltzmann method using Strang splitting

Computers & Mathematics with Applications

Linearly Implicit Approximations of Diffusive Relaxation Systems

Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications