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 WoS

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.

Klíčová slova anglicky

Delay differential equation; constant delay; difference equation; numerical solution; necessary and sufficient conditions for asymptotic stability

Vydáno

2017-12-08

ISSN

1512-0015

Časopis

Memoirs on Differential Equations and Mathematical Physics

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",
  journal="Memoirs on Differential Equations and Mathematical Physics",
  year="2017",
  volume="2017",
  number="72",
  pages="131--139",
  issn="1512-0015"
}