Superconvergence of the iterated collocation methods for Hammerstein equations

被引：48

作者：

Kaneko, H

Noren, RD

Padilla, PA

机构：

[1] OLD DOMINION UNIV,DEPT MATH & STAT,NORFOLK,VA 23529

[2] NASA,LANGLEY RES CTR,HAMPTON,VA 23681

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1997年 / 80卷 / 02期

基金：

美国国家航空航天局;

关键词：

the iterated collocation method; the discrete collocation method; Hammerstein equations with weakly singular kernels; superconvergence;

D O I：

10.1016/S0377-0427(97)00040-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we analyse the iterated collocation method for Hammerstein equations with smooth and weakly singular kernels. The paper expands the study which began in [16] concerning the superconvergence of the iterated Galerkin method for Hammerstein equations. We obtain in this paper a similar superconvergence result for the iterated collocation method for Hammerstein equations. We also discuss the discrete collocation method for weakly singular Hammerstein equations. Some discrete collocation methods for Hammerstein equations with smooth kernels were given previously in [3, 18].

引用

页码：335 / 349

页数：15

共 24 条

[1]

Anselone P. M., 1971, Collectively compact operator approximation theory and applications to integral equations

[2] PIECEWISE CONTINUOUS COLLOCATION FOR INTEGRAL-EQUATIONS [J].