A class of inverse Runge–Kutta schemes for the numerical integration of singular problems

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摘要

A class of methods for the numerical solution of initial value problems whose solution has singular point(s) shall be discussed. They are A- and L-stable and were found to perform efficiently well when faced with singularity problem but perform poorly when applied to non-singular problems.

论文关键词:Runge–Kutta schemes,Taylor series,Rational function

论文评审过程:Available online 10 April 2004.

论文官网地址:https://doi.org/10.1016/j.amc.2003.08.150