The P-stability of backward differentiation method for singularly perturbed Volterra integral equations with delay argument

DOI10.1016/S0096-3003(03)00764-1zbMath1120.65342OpenAlexW2056667987MaRDI QIDQ1883189

Modi H. Alnasr

Publication date: 1 October 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00764-1

zbMATH Keywords

singular perturbationP-stabilityVolterra integral equationsbackward differentiation formulas

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Cites Work

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• Asymptotic stability analysis of \(\theta\)-methods for functional differential equations
• Stability of numerical methods for delay differential equations
• On the numerical stability of Volterra integral equations with delay argument
• The Stability of the θ-methods in the Numerical Solution of Delay Differential Equations
• A note on the stability of $\theta$-methods for Volterra integral equations of the second kind
• Singular Perturbation Analysis of Integral Equations
• Special stability problems for functional differential equations
• Open problems in the discretization of volterra integral equations
• Modified multilag methods for singularly perturbed volterra integral equations
• Singularly Perturbed Volterra Integral Equations
• Stability of 2h-step spline method for delay differential equations

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