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math.NA2024

High order Asymptotic Preserving penalized numerical schemes for the Euler-Poisson system in the quasi-neutral limit

Nicolas Crouseilles, Giacomo Dimarco, Saurav Samantaray

In this work, we focus on the development of high-order Implicit-Explicit (IMEX) finite volume numerical methods for plasmas in quasineutral regimes. At large temporal and spatial…

math.NA2022

High Order Asymptotic Preserving and Classical Semi-implicit RK Schemes for the Euler-Poisson System in the Quasineutral Limit

K. R. Arun, N. Crouseilles, S. Samantaray

In this paper, the design and analysis of high order accurate IMEX finite volume schemes for the compressible Euler-Poisson (EP) equations in the quasineutral limit is presented. A…

math.NA2021

A Unified Asymptotic Preserving and Well-balanced Scheme for the Euler System with Multiscale Relaxation

K. R. Arun, M. Krishnan, S. Samantaray

The design and analysis of a unified asymptotic preserving (AP) and well-balanced scheme for the Euler Equations with gravitational and frictional source terms is presented in this…

math.NA2019

Analysis of an Asymptotic Preserving Low Mach Number Accurate IMEX-RK Scheme for the Wave Equation System

Arun K. R., Arnab J. Das Gupta, Saurav Samantaray

In this paper the analysis of an asymptotic preserving (AP) IMEX-RK finite volume scheme for the wave equation system in the zero Mach number limit is presented. The accuracy of a…

math.NA2019

Asymptotic Preserving and Low Mach Number Accurate IMEX Finite Volume Schemes for the Isentropic Euler Equations

K. R. Arun, S. Samantaray

In this paper, the design and analysis of a class of second order accurate IMEX finite volume schemes for the compressible Euler equations in the zero Mach number limit is presente…