Publication detail

On the asymptotics of the trapezoidal rule for the pantograph equation

ČERMÁK, J. JÁNSKÝ, J.

English title

On the asymptotics of the trapezoidal rule for the pantograph equation

Type

Peer-reviewed article not indexed in WoS or Scopus

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.

Keywords in English

Pantograph equation, trapezoidal rule, asymptotic estimate.

Released

2009-10-01

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",
  pages="2107--2126",
  issn="0025-5718"
}