关于用强奇异积分求积分

Advances in Engineering Software and Workstations Pub Date : 1991-03-01 DOI:10.1016/0961-3552(91)90023-W

Autar K. Kaw

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引用次数: 4

摘要

工程中许多混合边值问题的解都是用奇异积分方程来求解的。这些方程可能需要对具有强奇异积分的积分进行数值计算。基于一种自适应方案，编写了两种简单的算法来计算这些积分在Hadamard意义上的值。所得结果与特定积分的精确结果进行了比较。

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On evaluating integrals with strongly singular integrands

The solution of many mixed boundary value problems in engineering is found in terms of singular integral equations. These equations may require numerical evaluation of integrals with strongly singular integrands. Two simple algorithms based on an adaptive scheme are written to evaluate these integrals in the Hadamard sense. The results are compared with exact results available for specific integrands.

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Advances in Engineering Software and Workstations

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