Efficient quadrature for highly oscillatory integrals involving critical points |
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Authors: | Shuhuang Xiang |
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Affiliation: | Department of Applied Mathematics & Software, Central South University, Changsha, Hunan 410083, China |
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Abstract: | This paper based on the Levin collocation method and Levin-type method together with composite two-point Gauss–Legendre quadrature presents efficient quadrature for integral transformations of highly oscillatory functions with critical points. The effectiveness and accuracy of the quadrature are tested. |
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Keywords: | 65D32 65D30 |
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