Publication detail

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

HRABALOVÁ, J. TOMÁŠEK, P.

English title

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

Type

WoS Article

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.

Keywords in English

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

Released

2013-06-18

Publisher

Springer

Location

Spolková republika Německo

ISSN

1687-1847

Journal

Advances in Difference Equations

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",
  journal="Advances in Difference Equations",
  year="2013",
  volume="2013",
  number="177",
  pages="1--10",
  doi="10.1186/1687-1847-2013-177",
  issn="1687-1847"
}