A reconsideration of some embedded Runge—Kutta formulae

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摘要

The RK5(4) and RK6(5) embedded Runge—Kutta formulae are reconsidered with regard to enlarging regions of absolute stability while retaining satisfactory truncation error norms. Results from standard tests for the above pairs are presented in comparison with an efficient RK8(7) embedded formula.

论文关键词:Runge—Kutta,truncation error norm,absolute stability,efficiency curve

论文评审过程:Received 20 September 1984, Revised 3 January 1985, Available online 21 March 2002.

论文官网地址:https://doi.org/10.1016/0377-0427(86)90027-0