A sparse fractional Jacobi–Galerkin–Levin quadrature rule for highly oscillatory integrals

作者：

Highlights：

• The fractional Galerkin method is applied to Levin’s method.

• A sparse linear system is constructed.

• The approach gives good convergence for integrals with limited regularities.

摘要

•The fractional Galerkin method is applied to Levin’s method.•A sparse linear system is constructed.•The approach gives good convergence for integrals with limited regularities.

论文关键词：Highly oscillatory integral,Levin quadrature rule,Numerical integration,Fractional Galerkin method,Jacobi polynomial

论文评审过程：Received 23 February 2019, Revised 23 July 2019, Accepted 23 September 2019, Available online 9 October 2019, Version of Record 9 October 2019.

论文官网地址：https://doi.org/10.1016/j.amc.2019.124775