Stability of explicit ARKN methods for perturbed oscillators

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摘要

The stability of explicit ARKN methods for the numerical integration of perturbed oscillators is analyzed. Stability regions for the second-order homogeneous linear test model are obtained. These stability regions represent a generalization of the stability intervals for the classical RKN methods.

论文关键词：65L05,65L06,Stability,Adapted RKN methods,Oscillatory problems

论文评审过程：Received 14 January 2004, Revised 13 April 2004, Available online 14 July 2004.

论文官网地址：https://doi.org/10.1016/j.cam.2004.05.017