Publication detail

On the asymptotics of the trapezoidal rule for the pantograph equation

ČERMÁK, J. JÁNSKÝ, J.

Original Title

On the asymptotics of the trapezoidal rule for the pantograph equation

Type

journal article - other

Language

English

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

Pantograph equation, trapezoidal rule, asymptotic estimate.

Authors

ČERMÁK, J.; JÁNSKÝ, J.

RIV year

2009

Released

1. 10. 2009

Publisher

American Mathematical Society

Location

Rhode Island, US

ISBN

0025-5718

Periodical

Mathematics of Computation

Year of study

78

Number

268

State

United States of America

Pages from

2107

Pages to

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"
}