Variable coefficient \(A\)-stable explicit Runge-Kutta methods
type: Item
instance of: scholarly article
title: Variable coefficient \(A\)-stable explicit Runge-Kutta methods
zbMATH Open document ID: 0840.65074
DOI: 10.1007/BF03167292
author: Masaharu Nakashima
published in: Japan Journal of Industrial and Applied Mathematics
publication date: 1995-11-05T00:00:00Z
review text: The paper is devoted to the numerical integration of stiff ordinary differential equations. A class of variable coefficients \(A\)-stable explicit two- and three-stage Runge-Kutta methods is derived. Based on numerical tests it is claimed that the methods proposed are more efficient than other known Runge-Kutta methods.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34E13
Mathematics Subject Classification ID: 65L05
zbMATH DE Number: 812642
zbMATH Keywords: \(A\)-stability
zbMATH Keywords: stiff ordinary differential equations
zbMATH Keywords: variable coefficients
zbMATH Keywords: explicit two- and three-stage Runge-Kutta methods
zbMATH Keywords: numerical tests
reviewed by: Mihail M. Konstantinov
MaRDI profile type: Publication
cites work: Q4725642
cites work: Comparing Numerical Methods for Ordinary Differential Equations
cites work: Q4131550
cites work: Q3932237
description: scientific article; zbMATH DE number 812642