Numerical stability analysis of numerical methods for Volterra integral equations with delay argument

DOI10.1007/BF02459347zbMath0830.65132OpenAlexW1986334897MaRDI QIDQ1894926

Jiaoxun Kuang, Hong-Jiong Tian

Publication date: 26 July 1995

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02459347

zbMATH Keywords

stabilitydelay equationlinear multistep methodsreducible quadrature methodsVolterra integral equations with delay argument

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

Related Items (1)

The numerical stability of multistep methods for Volterra integral equations with many delays

Cites Work

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• Asymptotic stability analysis of \(\theta\)-methods for functional differential equations
• Numerical stability of the \(\theta\)-methods for systems of differential equations with several delay terms
• On the numerical stability of Volterra integral equations with delay argument
• The Construction of Reducible Quadrature Rules for Volterra Integral and Integro-differential Equations
• Stability Regions in the Numerical Treatment of Volterra Integral Equations
• A special stability problem for linear multistep methods
• The Asymptotic Behavior of the Solutions of Linear and Nonlinear Differential-Difference Equations

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