On the calculation of highly oscillatory integrals with an algebraic singularity
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摘要
In this paper we explore the evaluation of highly oscillatory integrals containing an algebraic singularity based on the change of variable t = x−r, where r is a positive real number, and the analytical continuation. Robust numerical results demonstrate the accuracy and effectiveness of the proposed approach.
论文关键词:Oscillatory integrals,Change of variable,Steepest descent method
论文评审过程:Available online 6 October 2010.
论文官网地址:https://doi.org/10.1016/j.amc.2010.09.050