Best predictor-corrector methods for first order VIDEs with solutions damped at infinity

DOI10.1016/S0096-3003(99)00064-8zbMath1023.65148OpenAlexW1971669410MaRDI QIDQ5931602

L. E. Garey, C. J. Gladwin

Publication date: 25 April 2001

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(99)00064-8

zbMATH Keywords

stabilitynumerical exampleslinear multistep methodspredictor-corrector methodsVolterra integro-differential equations

Mathematics Subject Classification ID

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

Cites Work

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• Explicit methods for mildly stiff oscillatory systems
• A-stable linear multistep methods for Volterra integro-differential equations
• Stability of numerical methods for Volterra integro-differential equations
• Multistep multiderivative methods for volterra integro-differential equations
• The Construction of Reducible Quadrature Rules for Volterra Integral and Integro-differential Equations
• Stabilizing Predictors for Weakly Unstable Correctors
• Linear Multistep Methods for Volterra Integro-Differential Equations
• A Note on Modified Optimal Linear Multistep Methods
• Efficiency of Predictor-Corrector Procedures

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