Article ID Journal Published Year Pages File Type
4614530 Journal of Mathematical Analysis and Applications 2016 19 Pages PDF
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
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