Stability of ROW methods for non autonomous systems of ordinary differential equations
type: Item
instance of: scholarly article
zbMATH Open document ID: 1289.65169
author: P. D. Shirkov
publication date: 2013-08-29T00:00:00Z
full work available at URL: p97
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 65L05
zbMATH DE Number: 6202942
zbMATH Keywords: multistep method
zbMATH Keywords: Runge-Kutta method
zbMATH Keywords: extrapolation methods
zbMATH Keywords: stability
zbMATH Keywords: convergence
zbMATH Keywords: ROW methods
zbMATH Keywords: autonomous systems
zbMATH Keywords: Rosenbroke methods
zbMATH Keywords: diagonal-implicit scheme
MaRDI profile type: Publication
title: Stability of ROW methods for non autonomous systems of ordinary differential equations
published in: Matematicheskoe Modelirovanie
review text: A possibility of constructing versions of known numerical methods like Runge-Kutta and Rosenbroke methods with improved stability properties in nonautonomous linear and nonlinear problems is discussed. As a base for the discussion an algebraic stability of the diagonal-implicit scheme of the Runge-Kutta method is used.
description: scientific article; zbMATH DE number 6202942