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ERKN integrators solving multi-frequency highly oscillatory systems with applications

  • Nanjing University
  • Qufu Normal University

科研成果: 书/报告/会议事项章节会议稿件同行评审

摘要

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.

源语言英语
主期刊名International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017
编辑Charalambos Tsitouras, Theodore Simos, Theodore Simos, Theodore Simos, Theodore Simos, Theodore Simos
出版商American Institute of Physics Inc.
ISBN(电子版)9780735416901
DOI
出版状态已出版 - 10 7月 2018
已对外发布
活动International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017 - Thessaloniki, 希腊
期限: 25 9月 201730 9月 2017

出版系列

姓名AIP Conference Proceedings
1978
ISSN(印刷版)0094-243X
ISSN(电子版)1551-7616

会议

会议International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017
国家/地区希腊
Thessaloniki
时期25/09/1730/09/17

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