Barycentric interpolation collocation methods for solving linear and nonlinear high-dimensional Fredholm integral equations

作者：

Highlights：

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• Two stable high accuracy algorithms are presented for high dimensional equations.

• The discrete collocation schemes are equal to Nyström methods.

• The theoretical analyses are in the Nyström frame.

• The techniques are easy to extend to solve singular equations.

摘要

•Two stable high accuracy algorithms are presented for high dimensional equations.•The discrete collocation schemes are equal to Nyström methods.•The theoretical analyses are in the Nyström frame.•The techniques are easy to extend to solve singular equations.

论文关键词：Barycentric interpolation collocation method,High-dimensional Fredholm integral equation,Quadrature formula,Convergence analysis,Collectively compact theory,Error estimation

论文评审过程：Received 26 December 2016, Revised 30 May 2017, Available online 20 June 2017, Version of Record 4 July 2017.

论文官网地址：https://doi.org/10.1016/j.cam.2017.06.004