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Author:

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

Indexed by:

Scopus

Abstract:

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.

Keyword:

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

Author Community:

  • [ 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

Reprint Author's Address:

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

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Source :

International Journal of Numerical Analysis and Modeling

ISSN: 1705-5105

Year: 2009

Issue: 4

Volume: 6

Page: 696-710

1 . 1 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

JCR Journal Grade:2

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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