Publication detail

On stability regions of the modified midpoint method for a linear delay differential equation

HRABALOVÁ, J. TOMÁŠEK, P.

Czech title

Oblasti stability modifikované obdélníkové metody pro lineární diferenciální rovnici se zpožděním

English title

On stability regions of the modified midpoint method for a linear delay differential equation

Type

journal article in Web of Science

Language

en

Original abstract

The paper deals with stability regions of certain discretization of linear differential equation with constant delay. The main aim of the paper is to analyze regions of asymptotic stability of modified midpoint method applied to a linear differential equation with constant delay. Obtained results are compared with other known results, particularly for Euler discretization. There is discussed a relation between asymptotic stability conditions in the discrete case and continuous case, too.

Czech abstract

V článku jsou analyzovány oblasti stability jisté diskretizace lineární diferenciální rovnice s konstantním zpožděním, a sice modifikované obdélníkové metody. Obdržené výsledky jsou porovnány s těmi, které jsou známy pro Eulerovu diskretizaci. Rovněž jsou v článku diskutovány souvislosti mezi obdrženými výsledky pro asymptotickou stabilitu a známými výsledky pro původní diferenciální rovnici.

English abstract

The paper deals with stability regions of certain discretization of linear differential equation with constant delay. The main aim of the paper is to analyze regions of asymptotic stability of modified midpoint method applied to a linear differential equation with constant delay. Obtained results are compared with other known results, particularly for Euler discretization. There is discussed a relation between asymptotic stability conditions in the discrete case and continuous case, too.

Keywords in Czech

diferenční rovnice, asymptotická stabilita, oblast stability, zpožděná diferenciální rovnice

Keywords in English

Difference equation, asymptotic stability, stability region, delay differential equation

RIV year

2013

Released

18.06.2013

Publisher

Springer

Location

Spolková republika Německo

ISSN

1687-1847

Volume

2013

Number

177

Pages from–to

1–10

Pages count

10

BIBTEX


@article{BUT99898,
  author="Jana {Dražková} and Petr {Tomášek},
  title="On stability regions of the modified midpoint method for a linear delay differential equation",
  year="2013",
  volume="2013",
  number="177",
  month="June",
  pages="1--10",
  publisher="Springer",
  address="Spolková republika Německo",
  issn="1687-1847"
}