Computing the Kontorovich-Lebedev integral transforms and their inverses

被引：6

作者：

Gautschi, W ^{[1
]}

机构：

[1] Purdue Univ, Dept Comp Sci, W Lafayette, IN 47907 USA

来源：

BIT NUMERICAL MATHEMATICS | 2006年 / 46卷 / 01期

关键词：

Kontorovich-Lebedev transform; inverse transform; Gaussian quadrature; integral equation;

D O I：

10.1007/s10543-005-0036-x

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

The numerical evaluation of the transforms in the title, and their inverses, is considered, using a variety of decomposition, truncation, and quadrature methods. Extensive numerical testing is provided and an application given to the numerical evaluation of the kernel of a Fredholm integral equation of interest in mixed boundary value problems on wedge-shaped domains.

引用

页码：21 / 40

页数：20

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