Delay-dependent stability of Runge-Kutta methods for linear delay differential-algebraic equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:363

Article

Hu, Xiulin^1,2  Cong, Yuhao¹  Hu, Guang-Da¹ 

[1] Shanghai Univ, Dept Math, Shanghai 2004444, Peoples R China

[2] Hefei Univ, Dept Math & Phys, Hefei 230601, Anhui, Peoples R China

关键词: Delay differential-algebraic equations;    Delay-dependent stability;    Runge-Kutta methods;    The argument principle;   

DOI  :  10.1016/j.cam.2019.06.016

来源: Elsevier

【 摘 要 】

This paper is concerned with the stability analysis of numerical solutions for linear delay differential-algebraic equations. By means of the argument principle, the delay-dependent stability of Runge-Kutta methods is investigated. Several numerical examples are given to illustrate the effectiveness of the proposed results. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free