Galerkin–Levin method for highly oscillatory integrals

作者：

Highlights：

• A new algorithm for solving the highly oscillatory integrals is proposed.

• Using the Levin method, a given integral is transformed into a certain ODE.

• Error and convergence analysis of the proposed algorithm is performed.

摘要

•A new algorithm for solving the highly oscillatory integrals is proposed.•Using the Levin method, a given integral is transformed into a certain ODE.•Error and convergence analysis of the proposed algorithm is performed.

论文关键词：42B20,65L60,Oscillatory integrals,Levin method,Projection methods,Galerkin methods,Ordinary differential equations

论文评审过程：Received 2 February 2017, Available online 21 March 2017, Version of Record 3 April 2017.

论文官网地址：https://doi.org/10.1016/j.cam.2017.03.005