On the numerical solution of singular integral equations
On the numerical solution of singular integral equations
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DOI：
10.1090/qam/408277
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发表时间：
1972
影响因子：
0.8
通讯作者：
F. Erdogan;G. Gupta
中科院分区：
文献类型：
--
作者：
F. Erdogan;G. Gupta
在这一章中，将描述两组奇异积分方程的数值解法。这些方程是由应用物理和工程中的混合边值问题的公式化而产生的。特别是，它们在解决固体力学中各种各样的接触和裂纹问题中起着重要作用。在第一组积分方程的内核有一个简单的柯西型奇异性。
In this Chapter the numerical methods for the solution of two groups of singular integral equations will be described. These equations arise from the formulation of the mixed boundary value problems in applied physics and engineering. In particular, they play an important role in the solution of a great variety of contact and crack problems in solid mechanics. In the first group of integral equations the kernels have a simple Cauchy-type singularity.