Stability and error analysis of one-leg methods for nonlinear delay differential equations
type: Item
instance of: scholarly article
title: Stability and error analysis of one-leg methods for nonlinear delay differential equations
zbMATH Open document ID: 0948.65078
DOI: 10.1016/S0377-0427(98)00262-3
author: Hongyuan Fu
author: Guangnan Chen
author: Chengming Huang
author: Shoufu Li
published in: Journal of Computational and Applied Mathematics
publication date: 2000-11-22T00:00:00Z
review text: This paper studies the numerical stability of nonlinear delay differential equations from the viewpoint of one-leg methods with linear interpolation. It is shown that if these methods are \(A\)-stable or strongly \(A\)-stable in the non-delay case then they will be similarly stable in the delay case. Of course the order of such methods is bounded by \(2\).
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34K28
Mathematics Subject Classification ID: 65L70
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L06
zbMATH DE Number: 1334666
zbMATH Keywords: error analysis
zbMATH Keywords: \(A\)-stability
zbMATH Keywords: numerical stability
zbMATH Keywords: nonlinear delay differential equations
zbMATH Keywords: one-leg methods
zbMATH Keywords: order
reviewed by: Kevin Burrage
MaRDI profile type: Publication
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full work available at URL: s0377-0427(98)00262-3
OpenAlex ID: W2129203119
description: scientific article; zbMATH DE number 1334666