Characterization of low degree A-stable symmetric RK collocation methods
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摘要
A necessary and sufficient condition for symmetric collocation nodes to give an A-stable RK collocation method is presented for low degree methods (n⩽7). The results are obtained by means of the Routh–Hurwitz algorithm. Some “order-stars movies” are shown to illustrate their geometry in the space of parameters.
论文关键词：65L06,65L07,Runge–Kutta method,Collocation method,A-stability
论文评审过程：Received 23 March 1998, Revised 8 April 1999, Available online 21 February 2000.
论文官网地址：https://doi.org/10.1016/S0377-0427(99)00127-2
