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作者:

Huang, Qiumei (Huang, Qiumei.) (学者:黄秋梅) | Wang, Min (Wang, Min.) (学者:王民)

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EI Scopus SCIE

摘要:

In this paper, we discuss the superconvergence of the "interpolated" collocation solutions for weakly singular Volterra integral equations of the second kind. Based on the collocation solution u(h), two different interpolation postprocessing approximations of higher accuracy: I-2h(2m-1) u(h) based on the collocation points and I(2h)(m)u(h) based on the least square scheme are constructed, whose convergence order are the same as that of the iterated collocation solution. Such interpolation postprocessing methods are much simpler in computation. We further apply this interpolation postprocessing technique to hybrid collocation solutions and similar results are obtained. Numerical experiments are shown to demonstrate the efficiency of the interpolation postprocessing methods.

关键词:

Interpolation postprocessing Weakly singular kernels Volterra integral equations Supercloseness Superconvergence Collocation Hybrid collocation

作者机构:

  • [ 1 ] [Huang, Qiumei]Beijing Univ Technol, Coll Math, Fac Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Wang, Min]Beijing Univ Technol, Coll Math, Fac Sci, Beijing 100124, Peoples R China

通讯作者信息:

  • 王民

    [Wang, Min]Beijing Univ Technol, Coll Math, Fac Sci, Beijing 100124, Peoples R China

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来源 :

COMPUTATIONAL & APPLIED MATHEMATICS

ISSN: 2238-3603

年份: 2021

期: 3

卷: 40

2 . 6 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:31

JCR分区:1

被引次数:

WoS核心集被引频次: 11

SCOPUS被引频次: 11

ESI高被引论文在榜: 0 展开所有

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