Phase-fitted Runge–Kutta pairs of orders 8(7)

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摘要

A new phase fitted Runge–Kutta pair of orders 8(7) which is a modification of a well known explicit Runge–Kutta pair for the integration of periodic initial value problems is presented. Numerical experiments show the efficiency of the new pair in a wide range of oscillatory problems.

论文关键词:65L05,65L06,Initial value problem,Numerical solution,Variable step,Phase fitted,Runge–Kutta

论文评审过程:Received 12 July 2016, Revised 24 February 2017, Available online 2 March 2017, Version of Record 17 March 2017.

论文官网地址:https://doi.org/10.1016/j.cam.2017.02.030