Stability results for collocation methods for Volterra integral equations

DOI10.1016/0096-3003(95)00270-7zbMath0870.65137OpenAlexW1986410683MaRDI QIDQ1354226

Luise Blank

Publication date: 28 July 1997

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

Full work available at URL: https://doi.org/10.1016/0096-3003(95)00270-7

zbMATH Keywords

collocation methodnumerical examplesasymptotic stabilitypolynomial splinesVolterra singular integral equation of Abel type

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

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Cites Work

• A family of methods for Abel integral equations of the second kind
• On monotone Abel-Volterra integral equations on the half line
• Stability analysis of product \(\theta\)-methods for Abel integral equations of the second kind
• On the Stability of Linear Multistep Methods for Volterra Convolution Equations
• A Stability Analysis of Convolution Quadraturea for Abel-Volterra Integral Equations
• Uniform Error Estimates of Galerkin Methods for Monotone Abel-Volterra Integral Equations on the Half-Line
• Stability Analysis of Runge-Kutta Methods for Volterra Integral Equations of the Second Kind
• Stability of collocation for weakly singular Volterra equations
• A Generalization of a Theorem of Bôcher
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