Construction of highly stable parallel two-step Runge–Kutta methods for delay differential equations

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摘要

It is shown that any A-stable two-step Runge–Kutta method of order p˜ and stage order q=p˜ for ordinary differential equations can be extended to the P-stable method of uniform order p=p˜ for delay differential equations.

论文关键词：Two-step Runge–Kutta methods,Delay differential equations,A-stability,P-stability,Uniform convergence

论文评审过程：Received 14 November 2006, Revised 7 August 2007, Available online 24 August 2007.

论文官网地址：https://doi.org/10.1016/j.cam.2007.08.007