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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 x(h), we get a higher order approximation I(2h)(2r-1)x(h), 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.
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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
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JCR@2022
ESI学科: MATHEMATICS;
JCR分区:2
中科院分区:1
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