Are high order variable step equistage initializers better than standard starting algorithms?

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摘要

In this paper a fourth order starting algorithm for variable step implicit Runge–Kutta methods is developed using the approach of equistage approximation proposed in (IMA J. Numer. Anal. 22 (2002) 153). This starting algorithm is used in combination with the well known RADAU5 code and numerical results are provided.

论文关键词：Starting algorithms,Implicit Runge–Kutta methods

论文评审过程：Received 11 July 2003, Revised 27 October 2003, Available online 20 February 2004.

论文官网地址：https://doi.org/10.1016/j.cam.2003.12.018