Characterization of a class of P-stable methods for differential equations of second order
type: Item
instance of: scholarly article
title: Characterization of a class of P-stable methods for differential equations of second order
zbMATH Open document ID: 0643.65045
DOI: 10.1016/0377-0427(88)90291-9
author: John P. Coleman
published in: Journal of Computational and Applied Mathematics
publication date: 1988-01-01T00:00:00Z
review text: This paper extends and partially modifies earlier results of \textit{M. M. Chawla} and \textit{B. Neta} [J. Comput. Appl. Math. 15, 213-223 (1986; Zbl 0599.65044)] on families of P-stable methods for second order differential equations of the form \(y''=f(x,y)\). In fact, Chawla and Neta used a sufficient condition for P-stability and therefore their characterization of the P-stable formulas in their family of methods is incomplete. Here the stability analysis of his family of formulas is completed using necessary and sufficient conditions for P-stability.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 4048942
zbMATH Keywords: second order differential equations
zbMATH Keywords: P-stability
MaRDI profile type: Publication
full work available at URL: 0377-0427(88)90291-9
OpenAlex ID: W2006796976
cites work: Families of two-step fourth order \(P\)-stable methods for second order differential equations
description: scientific article; zbMATH DE number 4048942