Quadrature Rule Methods for Volterra Integral Equations of the First Kind

DOI10.2307/2006305zbMath0414.65072OpenAlexW4242152332MaRDI QIDQ3049787

C. J. Gladwin

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2006305

zbMATH Keywords

convergencenumerical examplesVolterra integral equationsquadrature ruleserror orderconvergent methodsconsistency and stability of numerical methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical quadrature and cubature formulas (65D32) Volterra integral equations (45D05)

Related Items (5)

Product integration rules for Volterra integral equations of the first kind ⋮ Reducible quadrature methods for Volterra integral equations of the first kind ⋮ A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations ⋮ Improving the accuracy of collocation solutions of Volterra integral equations of the first kind by local interpolation ⋮ Discretization of Volterra integral equations of the first kind. II

Cites Work

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• The Solution of Volterra Integral Equations of the First Kind by Piecewise Polynomials
• Stability of quadrature rule methods for first kind volterra integral equations
• Algorithms for Classical Stability Problems
• On the Location of Zeros of Certain Classes of Polynomials with Applications to Numerical Analysis
• Relative Stability in the Numerical Solution of Ordinary Differential Equations

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