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ERKN integrators solving multi-frequency highly oscillatory systems with applications

  • Nanjing University
  • Qufu Normal University

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper presents an introduction to ERKN integrators for multi-frequency highly oscillatory systems with applications to nonlinear Klein-Gordon equations. The result of error analysis stated in this paper is a nature extension of that for Gautschi-type methods of order two. In particular, the error bound of ERKN integrators, when applied to nonlinear Klein-Gordon equations, is shown to be independent of the refinement of spatial discretisation based on the finite energy condition which appeared in the literature.

Original languageEnglish
Title of host publicationInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017
EditorsCharalambos Tsitouras, Theodore Simos, Theodore Simos, Theodore Simos, Theodore Simos, Theodore Simos
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735416901
DOIs
StatePublished - 10 Jul 2018
Externally publishedYes
EventInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017 - Thessaloniki, Greece
Duration: 25 Sep 201730 Sep 2017

Publication series

NameAIP Conference Proceedings
Volume1978
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017
Country/TerritoryGreece
CityThessaloniki
Period25/09/1730/09/17

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