General linear methods for the numerical solution of functional-differential equations / Pimenov VG // DIFFERENTIAL EQUATIONS. - 2001. - V. 37, l. 1. - P. 116-127.

ISSN/EISSN:

0012-2661 / нет данных

Type:

Article

Abstract:

We construct a general linear scheme for the numerical solution of delay differential equations of the general form, also known as functional-differential equations. This scheme differs from the counterpart of itself for ordinary differential equations in that it involves an intermediate space between the discrete numerical model and the original functional system. We obtain sufficient conditions as well as necessary and sufficient conditions for the convergence rate of our methods. We also present examples showing how analogs of some of the most frequently used numerical methods are covered by the general scheme.

Author keywords:

нет данных

DOI:

10.1023/A:1019232718078

Web of Science ID:

ISI:000168830500014

Соавторы в МНС:

—

Другие поля

Поле	Значение
Month	JAN
Publisher	MAIK NAUKA/INTERPERIODICA
Address	C/O KLUWER ACADEMIC-PLENUM PUBLISHERS, 233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics
ResearcherID-Numbers	Pimenov, Vladimir/N-9894-2017
ORCID-Numbers	Pimenov, Vladimir/0000-0002-4042-6079
Number-of-Cited-References	14
Usage-Count-Last-180-days	4
Usage-Count-Since-2013	23
Journal-ISO	Differ. Equ.
Doc-Delivery-Number	434RW