We present the asymptotic transitions from microscopic to macroscopic physics, their
computational challenges and the asymptotic-preserving (AP) strategies to compute …

This paper discusses a novel fully implicit formulation for a one-dimensional electrostatic
particle-in-cell (PIC) plasma simulation approach. Unlike earlier implicit electrostatic PIC …

Abstract The classical Chapman–Enskog procedure admits a substantial geometrical
generalization known as slow manifold reduction. This generalization provides a paradigm …

As a continuation of developing multiscale method for the transport phenomena, a unified
gas kinetic scheme (UGKS) for multi-scale and multi-component plasma simulation is …

Hyperbolic and kinetic equations often possess small spatial and temporal scales that lead
to various asymptotic limits. Numerical approximation of these equations is challenging due …

In this paper, we extend the unified gas-kinetic wave-particle (UGKWP) methods to the multi-
species gas mixture and multiscale plasma transport. The construction of the scheme is …

The purpose of the present paper is to provide an overview of Asymptotic-Preserving
methods for multiscale plasma simulations by addressing three singular perturbation …

Abstract A PIC/MCC simulation model for the analysis of low-temperature discharge
plasmas is represented which takes the common leapfrog and the velocity Verlet algorithm …

We propose large time step and asymptotic preserving schemes for the gas dynamics
equations with external forces and friction terms. By asymptotic preserving, we mean that the …

In this work, we extend the micro-macro decomposition based numerical schemes
developed in\cite {benoune} to the collisional Vlasov-Poisson model in the diffusion and …