Numerical stability analysis of numerical methods for Volterra integral equations with delay argument
type: Item
instance of: scholarly article
title: Numerical stability analysis of numerical methods for Volterra integral equations with delay argument
zbMATH Open document ID: 0830.65132
DOI: 10.1007/BF02459347
author: Jiaoxun Kuang
author: Hongjiong Tian
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1995-07-26T00:00:00Z
review text: The stability of \((\rho, \sigma)\)-reducible quadrature methods, applied to the test equation \(y(t)= y_0+ \int^t_0 (py(s)+ qy(s- \tau))ds\), is studied. The results are closely related to stability investigations of linear multistep methods for the delay equation \(y'(t)= py(t)+ qy(t- \tau)\).
reviewed by: Ernst Hairer
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45D05
zbMATH DE Number: 779189
zbMATH Keywords: Volterra integral equations with delay argument
zbMATH Keywords: reducible quadrature methods
zbMATH Keywords: stability
zbMATH Keywords: linear multistep methods
zbMATH Keywords: delay equation
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02459347
OpenAlex ID: W1986334897
description: scientific article; zbMATH DE number 779189