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作者:

Huang, Q. (Huang, Q..) | Xie, H. (Xie, H..)

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Scopus

摘要:

In the present paper, we discuss the superconvergence of the interpolated Galerkin solutions for Hammerstein equations. With the interpolation post-processing for the Galerkin approximation xh, we get a higher order approximation I2h2r-1xh, whose convergence order is the same as that of the iterated Galerkin solution. Such an interpolation post-processing method is much simpler than the iterated method especially for the weak singular kernel case. Some numerical experiments are carried out to demonstrate the effectiveness of the interpolation post-processing method. © 2009 Institute for Scientific Computing and Information.

关键词:

Hammerstein equations; Interpolation post-processing; Iterated Galerkin method; Smooth and weakly singular kernels; Superconvergence

作者机构:

  • [ 1 ] [Huang, Q.]College of Applied Sciences, Beijing University of Technology, Beijing 100124, China
  • [ 2 ] [Xie, H.]LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

通讯作者信息:

  • [Huang, Q.]College of Applied Sciences, Beijing University of Technology, Beijing 100124, China

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来源 :

International Journal of Numerical Analysis and Modeling

ISSN: 1705-5105

年份: 2009

期: 4

卷: 6

页码: 696-710

1 . 1 0 0

JCR@2022

ESI学科: MATHEMATICS;

JCR分区:2

中科院分区:1

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