期刊
BIT NUMERICAL MATHEMATICS
卷 46, 期 3, 页码 549-566出版社
SPRINGER
DOI: 10.1007/s10543-006-0071-2
关键词
numerical quadrature; asymptotic methods; high oscillation
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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