A novel family of P-stable symmetric extended linear multistep methods for oscillators

作者：

Highlights：

• Scheme of Phase-fitted and P-stable symmetric extended linear multistep (SELM) methods.

• Order conditions for modified linear multistep methods.

• Practical explicit and implicit SELM methods.

• Eight-step SELM predictor–corrector method of order ten.

• Numerical experiments showing the effectiveness of the SELM methods.

摘要

•Scheme of Phase-fitted and P-stable symmetric extended linear multistep (SELM) methods.•Order conditions for modified linear multistep methods.•Practical explicit and implicit SELM methods.•Eight-step SELM predictor–corrector method of order ten.•Numerical experiments showing the effectiveness of the SELM methods.

论文关键词：Extended linear multistep method,Oscillation,Symmetry,Phase-fitting,P-stable,Predictor–corrector

论文评审过程：Available online 12 November 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.10.061