An extrapolation method with step size control for nonlinear Volterra integral equations

DOI10.1007/BF01397087zbMath0462.65072MaRDI QIDQ1152943

Wilhelm Hock

Publication date: 1981

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132754

zbMATH Keywords

step size controlnonlinear Volterra integral equationsextrapolation methodsmidpoint rule

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Extrapolation to the limit, deferred corrections (65B05)

Related Items

An extrapolation method for a Volterra integral equation with weakly singular kernel, On the numerical stability of the linear barycentric rational quadrature method for Volterra integral equations, A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations, Combination of the boundary integral equation method and the extrapolation method, Implementation of general linear methods for Volterra integral equations, Improving the accuracy of collocation solutions of Volterra integral equations of the first kind by local interpolation, General linear methods with large stability regions for Volterra integral equations, Numerical solution of a nonuniquely solvable Volterra integral equation using extrapolation methods

Cites Work

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• Asymptotic expansions for multistep methods applied to nonlinear Volterra integral equations of the second kind
• Asymptotic upper and lower bounds for results of extrapolation methods
• On Numerically Solving Nonlinear Volterra Integral Equations with Fewer Computations
• On Extrapolation Algorithms for Ordinary Initial Value Problems