A new family of explicit linear two-step singularly P-stable Obrechkoff methods for the numerical solution of second-order IVPs

作者：

Highlights：

• Being implicit is not the essential condition to obtain important feature of P-stability in linear multistep methods.

• The root of the characteristic polynomials of the new family is of order infinity.

• The new family of explicit two-step methods is phase-fitted.

• The new family of explicit linear two-step Obrechkoff methods is singularly P-stable.

摘要

•Being implicit is not the essential condition to obtain important feature of P-stability in linear multistep methods.•The root of the characteristic polynomials of the new family is of order infinity.•The new family of explicit two-step methods is phase-fitted.•The new family of explicit linear two-step Obrechkoff methods is singularly P-stable.

论文关键词：Explicit methods,P-stable methods,Singularly P-stable methods,Obrechkoff methods,Phase-fitted methods,Symmetric multistep methods

论文评审过程：Received 15 April 2019, Revised 31 January 2020, Accepted 31 January 2020, Available online 21 February 2020, Version of Record 21 February 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125116