On the computation of highly oscillatory multivariate integrals with stationary points

被引：0
|
作者：
A. Iserles
S. P. Nørsett
机构：
[1] University of Cambridge,Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences
[2] Norwegian University of Science and Technology,Department of Mathematical Sciences
来源：
BIT Numerical Mathematics | 2006年 / 46卷
关键词：
numerical quadrature; asymptotic methods; high oscillation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider two types of highly oscillatory bivariate integrals with a nondegenerate stationary point. In each case we produce an asymptotic expansion and two kinds of quadrature algorithms: an asymptotic method and a Filon-type method. Our results emphasize the crucial role played by the behaviour at the stationary point and by the geometry of the boundary of the underlying domain.
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页码：549 / 566
页数：17
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