Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614530 | Journal of Mathematical Analysis and Applications | 2016 | 19 Pages |
Abstract
In this paper, new uniform approximation schemes for computation of hypersingular finite-part integrals are studied. The methods are verified to be supremely qualified for oscillatory integrands. In addition, based on the results on Chebyshev approximations, the uniform convergence and computational error bounds are considered. Preliminary numerical results show the stability and efficiency of the schemes.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Shuhuang Xiang, Chunhua Fang, Zhenhua Xu,