✦ LIBER ✦

Asymptotic behavior of multistep runge-kutta methods for systems of delay differential equations

✍ Scribed by Zhang Chengjian; Liao Xiaoxin

Book ID: 110611687
Publisher: Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year: 2001
Tongue: English
Weight: 324 KB
Volume: 17
Category: Article
ISSN: 0168-9673
DOI: 10.1007/bf02669577

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Asymptotic stability analysis of Runge-K

Asymptotic stability analysis of Runge-Kutta methods for nonlinear systems of delay differential equations

✍ M. Zennaro 📂 Article 📅 1997 🏛 Springer-Verlag 🌐 English ⚖ 141 KB

Dissipativity of multistep runge-kutta m

Dissipativity of multistep runge-kutta methods for nonlinear volterra delay-integro-differential equations

✍ Rui Qi; Cheng-jian Zhang; Yu-jie Zhang 📂 Article 📅 2012 🏛 Institute of Applied Mathematics, Chinese Academy 🌐 English ⚖ 240 KB

Exponential Runge–Kutta methods for dela

Exponential Runge–Kutta methods for delay differential equations

✍ Y. Xu; J.J. Zhao; Z.N. Sui 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 333 KB

This paper deals with convergence and stability of exponential Runge-Kutta methods of collocation type for delay differential equations. It is proved that these kinds of numerical methods converge at least with their stage order. Moreover, a sufficient condition of the numerical stability is provide

Convergence of Runge-Kutta Methods for D

Convergence of Runge-Kutta Methods for Delay Differential Equations

✍ K. J. In 't Hout 📂 Article 📅 2001 🏛 Springer Netherlands 🌐 English ⚖ 265 KB

On the asymptotic stability properties o

On the asymptotic stability properties of Runge-Kutta methods for delay differential equations

✍ Nicola Guglielmi 📂 Article 📅 1997 🏛 Springer-Verlag 🌐 English ⚖ 197 KB

Stability of multistep Runge-Kutta metho

Stability of multistep Runge-Kutta methods for systems of functional-differential and functional equations

✍ Siqing Gan; Weimin Zheng 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 274 KB

This paper is concerned with the stability of multistep R.unge-Kutta methods applied to linear systems of functional-differential and functional equations. The adaptation of multistep Runge-Kutta methods is considered. It is proved that, under some reasonable assumptions, Astability multistep Runge-