WAVELET COLLOCATION METHOD AND MULTILEVEL AUGMENTATION METHOD FOR HAMMERSTEIN EQUATIONS

被引：9

作者：

Kaneko, Hideaki ^{[1
]}

Neamprem, Khomsan ^{[2
,3
]}

Novaprateep, Boriboon ^{[3
,4
]}

机构：

[1] Old Dominion Univ, Dept Math & Stat, Norfolk, VA 23529 USA

[2] King Mongkuts Univ Technol N Bangkok, Fac Sci Appl, Dept Math, Bangkok 10800, Thailand

[3] CHE, Ctr Excellence Math, Bangkok 10400, Thailand

[4] Mahidol Univ, Fac Sci, Dept Math, Bangkok 10400, Thailand

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2012年 / 34卷 / 01期

关键词：

wavelet collocation method; Hammerstein equations; fast multilevel augmentation method; INTEGRAL-EQUATIONS; GALERKIN METHODS; SUPERCONVERGENCE;

D O I：

10.1137/100809246

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A wavelet collocation method for nonlinear Hammerstein equations is formulated. A sparsity in the Jacobian matrix is obtained which gives rise to a fast algorithm for nonlinear solvers such as the Newton's method and the quasi-Newton method. A fast multilevel augmentation method is developed on a transformed nonlinear equation which gives an additional saving in computational time.

引用

页码：A309 / A338

页数：30

共 23 条

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