A quasi-wavelet algorithm for second kind boundary integral equations

被引：8
|
作者：
Chen, HL
Peng, SL
机构：
[1] Acad Sinica, Inst Math, Beijing 100080, Peoples R China
[2] Acad Sinica, Inst Automat, Beijing 100080, Peoples R China
来源：
ADVANCES IN COMPUTATIONAL MATHEMATICS | 1999年 / 11卷 / 04期
基金：
中国国家自然科学基金;
关键词：
periodic quasi-wavelet; integral equation; multiscale;
D O I：
10.1023/A:1018992413504
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In solving integral equations with a logarithmic kernel, we combine the Galerkin approximation with periodic quasi-wavelet (PQW) [4]. We develop an algorithm for solving the integral equations with only O(N log N) arithmetic operations, where N is the number of knots. We also prove that the Galerkin approximation has a polynomial rate of convergence.
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页码：355 / 375
页数：21
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