ADER schemes for nonlinear systems of stiff advection-diffusion-reaction equations
type: Item
instance of: scholarly article
title: ADER schemes for nonlinear systems of stiff advection-diffusion-reaction equations
zbMATH Open document ID: 1221.65231
author: Arturo Hidalgo
author: Michael Dumbser
published in: Journal of Scientific Computing
publication date: 2011-08-04T00:00:00Z
Mathematics Subject Classification ID: 65M08
zbMATH DE Number: 5936142
zbMATH Keywords: ADER approach
zbMATH Keywords: high order finite volume schemes
zbMATH Keywords: stiff source terms
zbMATH Keywords: advection-diffusion-reaction equations
zbMATH Keywords: asymptotic preserving property
zbMATH Keywords: compressible Navier-Stokes equations with chemical reactions
MaRDI profile type: Publication
full work available at URL: s10915-010-9426-6
OpenAlex ID: W2095572773
cites work: Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
cites work: Q3999393
cites work: Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
cites work: Arbitrary high order \(P_{N}P_{M}\) schemes on unstructured meshes for the compressible Navier-Stokes equations
cites work: High-Order Unstructured One-Step PNPM Schemes for the Viscous and Resistive MHD Equations
cites work: A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems
cites work: Very high order \(P_NP_M\) schemes on unstructured meshes for the resistive relativistic MHD equations
cites work: A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
cites work: Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws
cites work: FORCE schemes on unstructured meshes. II: Non-conservative hyperbolic systems
cites work: High accuracy numerical methods for thermally perfect gas flows with chemistry
cites work: Numerical approximation of hyperbolic systems of conservation laws
cites work: Uniformly high order accurate essentially non-oscillatory schemes. III
cites work: A modified fractional step method for the accurate approximation of detonation waves
cites work: Efficient implementation of weighted ENO schemes
cites work: Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations
cites work: Q4158394
cites work: Q4255380
cites work: ADER finite volume schemes for nonlinear reaction-diffusion equations
cites work: Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
DOI: 10.1007/S10915-010-9426-6
description: scientific article; zbMATH DE number 5936142