Higher accuracy methods for second-kind Volterra integral equations based on asymptotic expansions of iterated Galerkin methods

DOI10.1216/jiea/1181074245zbMath0944.65140OpenAlexW2011630189MaRDI QIDQ1286344

Shuhua Zhang, Hermann Brunner, Yan Ping Lin

Publication date: 14 September 2000

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/jie/VOL10-4/CONT10-4/CONT10-4.html

zbMATH Keywords

finite element methodasymptotic expansionsVolterra integral equationdefect correctioniterated Galerkin methodsinterpolation correctioniterative correction

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

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Cites Work

• An immediate analysis for global superconvergence for integrodifferential equations
• An acceleration method for integral equations by using interpolation post-processing
• The iterative correction method for Volterra integral equations
• On global superconvergence of iterated collocation solutions to linear second-kind Volterra integral equations
• Extrapolation of the Iterated–Collocation Method for Integral Equations of the Second Kind
• Iterated Collocation Methods and Their Discretizations for Volterra Integral Equations
• The discrete collocation method for nonlinear integral equations
• The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations
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