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On error bounds of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals 期刊论文
Advances in Computational Mathematics, 2015, 卷号: 41, 期号: 3, 页码: 573-597
作者:  Xiang, Shuhuang*;  He, Guo;  Cho, Yeol Je
收藏  |  浏览/下载:6/0  |  提交时间:2019/12/03
An improved algorithm for the evaluation of Cauchy principal value integrals of oscillatory functions and its application 期刊论文
Journal of Computational and Applied Mathematics, 2015, 卷号: 280, 期号: Volume 280, 页码: 1-13
作者:  He, Guo*;  Xiang, Shuhuang
收藏  |  浏览/下载:12/0  |  提交时间:2019/12/03
Numerical solutions to Volterra integral equations of the second kind with oscillatory trigonometric kernels 期刊论文
Applied Mathematics and Computation, 2013, 卷号: 223, 页码: 34-44
作者:  Shuhuang Xiang;  Qinghua Wu
收藏  |  浏览/下载:4/0  |  提交时间:2019/12/03
Efficient methods for Volterra integral equations with highly oscillatory Bessel kernels 期刊论文
BIT Numerical Mathematics, 2013, 卷号: 53, 期号: 1, 页码: 241-263
作者:  Shuhuang Xiang;  Hermann Brunner
收藏  |  浏览/下载:1/0  |  提交时间:2019/12/03
On the implementation of discontinuous Galerkin methods for Volterra integral equations with highly oscillatory Bessel kernels 期刊论文
Applied Mathematics and Computation, 2013, 卷号: 219, 期号: 9, 页码: 4884-4891
作者:  Xiang, Shuhuang*;  He, Kaixian
收藏  |  浏览/下载:3/0  |  提交时间:2019/12/03
On the convergence rates of Filon methods for the solution of a Volterra integral equation with a highly oscillatory Bessel kernel 期刊论文
Applied Mathematics Letters, 2013, 卷号: 26, 期号: 7, 页码: 699-705
作者:  Ma, Junjie;  Xiang, Shuhuang*;  Kang, Hongchao
收藏  |  浏览/下载:3/0  |  提交时间:2019/12/03
Asymptotic expansion and Filon-type methods for a Volterra integral equation with a highly oscillatory kernel 期刊论文
IMA Journal of Numerical Analysis, 2011, 卷号: 31, 期号: 2, 页码: 469-490
作者:  Wang, Haiyong;  Xiang, Shuhuang*
收藏  |  浏览/下载:2/0  |  提交时间:2019/12/03
Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications 期刊论文
IMA Journal of Numerical Analysis, 2011, 卷号: 31, 期号: 4, 页码: 1281-1314
作者:  Xiang, Shuhuang*;  Cho, Yeol Je;  Wang, Haiyong;  Brunner, Hermann
收藏  |  浏览/下载:7/0  |  提交时间:2019/12/03
Uniform approximations to Cauchy principal value integrals of oscillatory functions 期刊论文
Applied Mathematics and Computation, 2009, 卷号: 215, 期号: 5, 页码: 1886-1894
作者:  Wang, Haiyong*;  Xiang, Shuhuang
收藏  |  浏览/下载:2/0  |  提交时间:2019/12/03


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