Detail publikace
Visualization and analysis of stability regions of certain discretization of differential equation with constant delay
TOMÁŠEK, P.
Anglický název
Visualization and analysis of stability regions of certain discretization of differential equation with constant delay
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
en
Originální abstrakt
The paper discusses the asymptotic stability regions of multistep disretization of linear delay differential equation with a constant delay. Different location of delay dependent parts of stability regions with respect to parity of number of steps clarifies unexpected changes in numerical solution's behaviour under various settings of the equation's parameters and stepsize.
Anglický abstrakt
The paper discusses the asymptotic stability regions of multistep disretization of linear delay differential equation with a constant delay. Different location of delay dependent parts of stability regions with respect to parity of number of steps clarifies unexpected changes in numerical solution's behaviour under various settings of the equation's parameters and stepsize.
Klíčová slova anglicky
Delay differential equation; constant delay; difference equation; numerical solution; necessary and sufficient conditions for asymptotic stability
Vydáno
08.12.2017
ISSN
1512-0015
Ročník
2017
Číslo
72
Strany od–do
131–139
Počet stran
9
BIBTEX
@article{BUT140059,
author="Petr {Tomášek},
title="Visualization and analysis of stability regions of certain discretization of differential equation with constant delay",
year="2017",
volume="2017",
number="72",
month="December",
pages="131--139",
issn="1512-0015"
}