Publication detail

Visualization and analysis of stability regions of certain discretization of differential equation with constant delay

TOMÁŠEK, P.

English title

Visualization and analysis of stability regions of certain discretization of differential equation with constant delay

Type

journal article in Web of Science

Language

en

Original abstract

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.

English abstract

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.

Keywords in English

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

Released

08.12.2017

ISSN

1512-0015

Volume

2017

Number

72

Pages from–to

131–139

Pages count

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"
}