کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4630358 1340598 2011 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Efficient integration for a class of highly oscillatory integrals
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Efficient integration for a class of highly oscillatory integrals
چکیده انگلیسی

This paper presents some quadrature methods for a class of highly oscillatory integrals whose integrands may have singularities at the two endpoints of the interval. One is a Filon-type method based on the asymptotic expansion. The other is a Clenshaw–Curtis–Filon-type method which is based on a special Hermite interpolation polynomial and can be evaluated efficiently in O(N log N) operations, where N + 1 is the number of Clenshaw–Curtis points in the interval of integration. In addition, we derive the corresponding error bound in inverse powers of the frequency ω for the Clenshaw–Curtis–Filon-type method for the class of highly oscillatory integrals. The efficiency and the validity of these methods are testified by both the numerical experiments and the theoretical results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 7, 1 December 2011, Pages 3553–3564
نویسندگان
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