Higher accuracy methods for second-kind volterra integral equations based on asymptotic expansions of iterated galerkin methods

Hermann Brunner, Yanping Lin, Shuhua Zhang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

17 Citations (Scopus)

Abstract

On the basis of asymptotic expansions, we study the Richardson extrapolation method and two defect correction schemes by an interpolation post-processing technique, namely, interpolation correction and iterative correction for the numerical solution of a Volterra integral equation by iterated finite element methods. These schemes are of higher accuracy than the postprocessing method and analyzed in a recent paper [5] by Brunner, Q. Lin and N. Yan. Moreover, we give a positive answer to a conjecture in [5].
Original languageEnglish
Pages (from-to)375-396
Number of pages22
JournalJournal of Integral Equations and Applications
Volume10
Issue number4
DOIs
Publication statusPublished - 1 Dec 1998
Externally publishedYes

Keywords

  • Asymptotic expansions
  • Defect correction
  • Finite element method
  • Interpolation post-processing
  • Volterra integral equations

ASJC Scopus subject areas

  • Numerical Analysis
  • Applied Mathematics

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