Reproducing kernel function-based Filon and Levin methods for solving highly oscillatory integral

作者：

Highlights：

• Based on the RKF theory, new Filon and Levin methods for highly oscillatory integrals.

• The moments in RKF-based Filon method can be computed exactly.

• The RKF-based Levin method is meshless.

• The present method can give accurate approximation to the highly oscillatory integrals.

摘要

•Based on the RKF theory, new Filon and Levin methods for highly oscillatory integrals.•The moments in RKF-based Filon method can be computed exactly.•The RKF-based Levin method is meshless.•The present method can give accurate approximation to the highly oscillatory integrals.

论文关键词：Reproducing kernel,Highly oscillatory integral,Filon method,Levin method

论文评审过程：Received 28 July 2019, Revised 19 November 2020, Accepted 9 January 2021, Available online 16 January 2021, Version of Record 16 January 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.125980