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中南大学 [7]
兰州大学 [1]
山东大学 [1]
中南林业科技大学 [1]
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期刊论文 [10]
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2016 [1]
2015 [4]
2014 [2]
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mathematic... [1]
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Efficient computation of highly oscillatory integrals with weak singularities by Gauss-type method
期刊论文
International Journal of Computer Mathematics, 2016, 卷号: 93, 期号: 1, 页码: 83-107
作者:
He, Guo
;
Xiang, Shuhuang*
;
Zhu, Enwen
收藏
  |  
浏览/下载:9/0
  |  
提交时间:2019/12/03
65D30
65D32
Gauss quadrature
Hankel function
oscillatory integrals
steepest descent method
weakly singular
An alternating direction implicit fractional trapezoidal rule type difference scheme for the two-dimensional fractional evolution equation
期刊论文
International Journal of Computer Mathematics, 2015, 卷号: 92, 期号: 10, 页码: 2178-2197
作者:
Chen, Hongbin*
;
Xu, Da
;
Peng, Yulong
收藏
  |  
浏览/下载:4/0
  |  
提交时间:2019/12/03
45K05
65D32
65M60
alternating direction implicit method
convergence
fractional trapezoidal rule type difference scheme
numerical experiments
stability
two-dimensional fractional evolution equation
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
Filon-Clenshaw-Curtis quadrature
Oscillatory integral
Error bound
65D32
65D30
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
65D32
65D30
Cauchy principal value
Oscillatory integral
Logarithmic singularity
Chebyshev polynomial
Clenshaw–Curtis points
An alternating direction implicit fractional trapezoidal rule type difference scheme for the two-dimensional fractional evolution equation
期刊论文
International Journal of Computer Mathematics, 2015, 卷号: 92, 期号: 10, 页码: 2178-2197
作者:
Chen, Hongbin*
;
Xu, Da
;
Peng, Yulong
收藏
  |  
浏览/下载:3/0
  |  
提交时间:2019/12/28
45K05
65D32
65M60
alternating direction implicit method
convergence
fractional trapezoidal rule type difference scheme
numerical experiments
stability
two-dimensional fractional evolution equation
Error expansion of classical mid-point rectangle rule for computing Cauchy principal value integrals on an interval
期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2014, 卷号: 91, 期号: 10, 页码: 2294-2306
作者:
Li, J
;
Yang, JE
;
Yu, DH
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  |  
浏览/下载:5/0
  |  
提交时间:2015/12/16
superconvergence
Cauchy principal value integral
composite mid-rectangle rule
singular integral
error expansion
65D32
35D35
65D05
Error expansion of classical mid-point rectangle rule for computing Cauchy principal value integrals on an interval
期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2014, 卷号: 91, 期号: 10, 页码: 2294-2306
作者:
Li, Jin
;
Yang, Ju'e
;
Yu, Dehao
收藏
  |  
浏览/下载:5/0
  |  
提交时间:2019/12/17
superconvergence
Cauchy principal value integral
composite
mid-rectangle rule
singular integral
error expansion
65D32
35D35
65D05
Computation of integrals with oscillatory and singular integrands using Chebyshev expansions
期刊论文
Journal of Computational and Applied Mathematics, 2013, 卷号: 242, 期号: 1, 页码: 141-156
作者:
Kang, Hongchao
;
Xiang, Shuhuang*
;
He, Guo
收藏
  |  
浏览/下载:7/0
  |  
提交时间:2019/12/03
65D32
65D30
Oscillatory integrals
Singularity
Chebyshev expansion
Modified moments
Recurrence relations
Efficient quadrature of highly oscillatory integrals with algebraic singularities
期刊论文
Journal of Computational and Applied Mathematics, 2013, 卷号: 237, 期号: 1, 页码: 576-588
作者:
Kang, Hongchao
;
Xiang, Shuhuang*
收藏
  |  
浏览/下载:2/0
  |  
提交时间:2019/12/03
65D32
65D30
Oscillatory integrals
Asymptotic expansion
Filon-type method
FFT
Clenshaw–Curtis–Filon-type method
Error bounds for approximation in Chebyshev points
期刊论文
Numerische Mathematik, 2010, 卷号: 116, 期号: 3, 页码: 463-491
作者:
Xiang, Shuhuang*
;
Chen, Xiaojun
;
Wang, Haiyong
收藏
  |  
浏览/下载:3/0
  |  
提交时间:2019/12/03
65D32
65D30
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