Generalized reducible quadrature methods for Volterra integral and integro-differential equations

DOI10.1016/0377-0427(86)90171-8zbMath0625.65142OpenAlexW2075357336MaRDI QIDQ579913

Jennifer A. Dixon

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0377-0427(86)90171-8

zbMATH Keywords

convergencelinear multistep methodsVolterra integro-differential equationsVolterra integral equationsgeneral linear methodssecond kindreducible quadrature formulas

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Volterra integral equations (45D05)

Related Items (1)

On the numerical solution of linear and nonlinear Volterra integral and integro-differential equations

Cites Work

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• Two sided error bounds for discretisation methods in ordinary differential equations
• A-stable linear multistep methods for Volterra integro-differential equations
• Discretization Methods and Block Isoclinal Matrices
• A Unified Approach to Convergence Analysis of Discretization Methods for Volterra-typeEquations
• On the Numerical Stability of Reducible Quadrature Methods for Second Kind Volterra Integral Equations
• The Construction of Reducible Quadrature Rules for Volterra Integral and Integro-differential Equations
• Modified Multilag Methods for Volterra Functional Equations
• Cyclic Composite Multistep Predictor-Corrector Methods

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