Publication detail

On the asymptotics of the trapezoidal rule for the pantograph equation

ČERMÁK, J. JÁNSKÝ, J.

Czech title

O asymptotice lichoběžníkového pravidla pro rovnici pantografu

English title

On the asymptotics of the trapezoidal rule for the pantograph equation

Type

journal article - other

Language

en

Original abstract

The paper discusses some problems of the numerical discretizations of the pantograph equation with a special emphasize to the trapezoidal rule discretization. The main result formulates conditions under which the numerical solution has the same decay rate as the exact solution.

Czech abstract

Článek diskutuje některé problémy numerického řešení diferenciální rovnice pantografu se zaměřením na lichoběžníkové pravidlo. Hlavní výsledek formuluje podmínky, za kterých má numerické řešení stejný asymptotický odhad jako řešení exaktní.

English abstract

The paper discusses some problems of the numerical discretizations of the pantograph equation with a special emphasize to the trapezoidal rule discretization. The main result formulates conditions under which the numerical solution has the same decay rate as the exact solution.

Keywords in Czech

Rovnice pantografu, lichoběžníkové pravidlo, asymptotický odhad

Keywords in English

Pantograph equation, trapezoidal rule, asymptotic estimate.

RIV year

2009

Released

01.10.2009

Publisher

American Mathematical Society

Location

Rhode Island, US

ISSN

0025-5718

Journal

Mathematics of Computation

Volume

78

Number

268

Pages from–to

2107–2126

Pages count

20

BIBTEX


@article{BUT49529,
  author="Jan {Čermák} and Jiří {Jánský},
  title="On the asymptotics of the trapezoidal rule for the pantograph equation",
  journal="Mathematics of Computation",
  year="2009",
  volume="78",
  number="268",
  month="October",
  pages="2107--2126",
  publisher="American Mathematical Society",
  address="Rhode Island, US",
  issn="0025-5718"
}