Publication detail

The stability and asymptotic properties of the Theta-methods for the pantograph equation

ČERMÁK, J.

Czech title

Stabilita a asymptotické vlastnosti Theta-metod pro rovnici pantografu

English title

The stability and asymptotic properties of the Theta-methods for the pantograph equation

Type

journal article - other

Language

en

Original abstract

This paper discusses stability and asymptotic properties of a numerical solution of the nonhomogeneous pantograph equation. The utilized discretizations originate from the Theta-methods considered on uniform as well as quasi-geometric mesh.

Czech abstract

Článek se zabývá otázkou stability a asymptotických vlastností numerického řešení nehomogenní rovnice pantografu. Užité diskretizace vycházejí z Theta-metod uvažovaných na stejnoměrné a kvazigeometrické síti.

English abstract

This paper discusses stability and asymptotic properties of a numerical solution of the nonhomogeneous pantograph equation. The utilized discretizations originate from the Theta-methods considered on uniform as well as quasi-geometric mesh.

Keywords in Czech

Rovnice pantografu, Theta metoda, stabilita, asymptotické chování

Keywords in English

Pantograph equation, Theta-method, stability, asymptotic behaviour

RIV year

2011

Released

01.10.2011

Publisher

Oxford University Press

ISSN

0272-4979

Journal

IMA Journal of Numerical Analysis

Volume

31

Number

4

Pages from–to

1533–1551

Pages count

19

BIBTEX


@article{BUT74131,
  author="Jan {Čermák},
  title="The stability and asymptotic properties of the Theta-methods for the pantograph equation",
  journal="IMA Journal of Numerical Analysis",
  year="2011",
  volume="31",
  number="4",
  month="October",
  pages="1533--1551",
  publisher="Oxford University Press",
  issn="0272-4979"
}