Boundary-value problems for the Helmholtz equation and their discrete mathematical models

被引：0

作者：

Gandel Y.V. ^{[1
]}

机构：

[1] Karazin Kharkiv National University, Kharkiv

来源：

Journal of Mathematical Sciences | 2010年 / 171卷 / 1期

关键词：

Integral Operator; Singular Integral Equation; Helmholtz Equation; Parametric Representation; Discrete Vortex;

D O I：

10.1007/s10958-010-0127-3

中图分类号：

学科分类号：

摘要：

We consider boundary-value problems of mathematical diffraction theory and discuss the possibility of reducing them to boundary hypersingular integral equations and solving them numerically. The analytic technique of parametric representations of pseudodifferential and integral operators and the numerical method of discrete singularities are essentially used. We discuss the reasoning in applying this approach to constructing mathematical models of wave diffraction problems and solving them numerically. © 2010 Springer Science+Business Media, Inc.

引用

页码：74 / 88

页数：14

共 37 条

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