Convergence results for general linear methods on singular perturbation problems
type: Item
instance of: scholarly article
title: Convergence results for general linear methods on singular perturbation problems
zbMATH Open document ID: 0795.65045
DOI: 10.1007/BF01990542
author: Stefan Schneider
published in: BIT
publication date: 1994-09-12T00:00:00Z
review text: The author establishes the convergence of singular perturbation problems for a class of general linear methods without assuming \(A\)-stability. An example is given to illustrate the method.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 536867
zbMATH Keywords: convergence
zbMATH Keywords: singular perturbation problems
zbMATH Keywords: general linear methods
zbMATH Keywords: \(A\)- stability
describes a project that uses: RODAS
MaRDI profile type: Publication
cites work: High order algebraically stable Runge-Kutta methods
cites work: Q4725642
cites work: On the existence of solutions to the algebraic equations in implicit Runge-Kutta methods
cites work: One-step and extrapolation methods for differential-algebraic systems
cites work: The numerical solution of differential-algebraic systems by Runge-Kutta methods
cites work: Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations
cites work: Q3779682
cites work: Q4000061
cites work: Q3975522
cites work: Rosenbrock methods for differential-algebraic systems with solution- dependent singular matrix multiplying the derivative
cites work: Numerical experiments with a multistep Radau method
cites work: A short proof on nonlinearA-stability
description: scientific article; zbMATH DE number 536867