Interpolatory Quadrature Rules for Oscillatory Integrals
نویسندگان
چکیده
منابع مشابه
Quadrature methods for highly oscillatory singular integrals
We study asymptotic expansions, Filon-type methods and complex-valued Gaussian quadrature for highly oscillatory integrals with power-law and logarithmic singularities. We show that the asymptotic behaviour of the integral depends on the integrand and its derivatives at the singular point of the integrand, the stationary points and the endpoints of the integral. A truncated asymptotic expansion...
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ژورنال
عنوان ژورنال: Journal of Scientific Computing
سال: 2012
ISSN: 0885-7474,1573-7691
DOI: 10.1007/s10915-012-9589-4