Delay-dependent stability analysis of Runge-Kutta methods for neutral delay differential equations

2002哈尔滨工业大学学报：英文版Mathematics被引 3

摘要

The aim of this paper is to study the asymptotic stability properties of Runge-Kutta(R-K)methods for neutral differential equations(NDDEs)when they are applied to the linear test equation of the form:lems to investigate the delay-dependent stability analysis for NDDEs.The results that the 2,3 stages non natural R-K methods are unstable as Radau IA and Lobatto IIIC are proved.And the s stages Radau IIA methods are unstable,however all Gauss methods are compatible.

引用本文（GB/T 7714）

Sidibe, Song, Minghui, 等. Delay-dependent stability analysis of Runge-Kutta methods for neutral delay differential equations[J]. 哈尔滨工业大学学报：英文版, 2002.

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