The recursions of order conditions for some Runge–Kutta-like methods

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摘要

It is well known that Hairer and Wanner reformulated Butcher’s approach to Taylor series and introduced the name of B-series. In this paper, the recursions of order conditions using B-series are presented for some Runge–Kutta-like methods.

论文关键词：Runge–Kutta-like method,B-series,Order conditions,Recursion of the order conditions

论文评审过程：Available online 3 January 2006.

论文官网地址：https://doi.org/10.1016/j.amc.2005.11.087