A combined Filon/asymptotic quadrature method for highly oscillatory problems
نویسنده
چکیده
A cross between the asymptotic expansion of an oscillatory integral and the Filon-type methods is obtained by applying a Filon-type method on the error term in the asymptotic expansion, which is in itself an oscillatory integral. The efficiency of the approach is investigated through analysis and numerical experiments, and a potential for better methods than current ones is revealed. In particular can savings in the required number of potentially expensive moments be expected. The case of multivariate oscillatory integrals is discussed briefly. AMS subject classification (2000): 65D30.
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تاریخ انتشار 2006