𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Variable multistep methods for higher-order delay differential equations

✍ Scribed by J.A. Martín; O. García


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
865 KB
Volume
36
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.

✦ Synopsis


In this paper, variable stepsize multistep methods for higher-order delay differential equations of the type y(')(t) = f(t,y(t),y(t -r)) are proposed. Explicit error bounds for the global discretization error are given. It is proved that a variable multistep method which is a perturbation of strongly stable fixed stepsize method is convergent.


📜 SIMILAR VOLUMES


Variable multistep methods for delay dif
✍ J.A. Martín; O. García 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 919 KB

this paper, variable stepsize multistep methods for delay differential equations of the type y(t) = f(t,?l(t),y(t -r)) are proposed. Error bounds for the global discretization error of variable stepsize multistep methods for delay differential equations are explicitly computed. It is proved that a

Higher order implicit multistep methods
✍ J.L. Morera; G. Rubio; L. Jódar 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 510 KB

This paper proposes implicit multistep matrix methods for the numerical solution of stiff initial value matrix problems. The study of matrix difference equations involving the matrix coefficients of the multistep method permits one to obtain convergence results, as well as bounds for the global disc

Stability of linear multistep methods fo
✍ Chengming Huang 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 292 KB

This paper is concerned with the numerical solution of delay integro-differential equations. The adaptation of linear multistep methods is considered. The emphasis is on the linear stability of numerical methods. It is shown that every A-stable, strongly 0-stable linear multistep method of Pouzet ty

Periodic solutions of higher-order delay
✍ Yuji Liu; Pinghua Yang; Weigao Ge 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 219 KB

In this paper, we prove existence results for periodic solutions concerning the higher-order delay differential equations. Our method is based upon the coincidence degree theory of Mawhin. The results obtained are new. Examples are given to illustrate the main results.