A new family of fourth-order energy-preserving integrators

Miyatake, Yuto

doi:https://doi.org/10.1007/s11075-024-01824-w

A new family of fourth-order energy-preserving integrators

Miyatake, Yuto

Numerical Algorithms, 2024, 96, 1269-1293

アクセス数:173件（2025-07-12 00:24 集計）

固定URL: https://hdl.handle.net/11094/96469

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タイトル	A new family of fourth-order energy-preserving integrators
著者	NRID 1000060757384 1000060757384 ORCID 0000-0002-5742-6251 0000-0002-5742-6251 researchmap permalink miyatake miyatake Scopus Author ID 41861885700 41861885700 著者名 Miyatake, Yuto
キーワード等	65L05
	65L06
	65P10
	Energy-preservation
	Parallelism
	Poisson system
内容	The version of record of this article, first published in Numerical Algorithms, is available online at Publisher’s website: https://doi.org/10.1007/s11075-024-01824-w.
抄録	For Hamiltonian systems with non-canonical structure matrices, a new family of fourth-order energy-preserving integrators is presented. The integrators take a form of a combination of Runge–Kutta methods and continuous-stage Runge–Kutta methods and feature a set of free parameters that offer greater flexibility and efficiency. Specifically, we demonstrate that by carefully choosing these free parameters, a simplified Newton iteration applied to the integrators of order four can be parallelizable. This results in faster and more efficient integrators compared with existing fourth-order energy-preserving integrators.
出版者	Springer
収録物名	Numerical Algorithms
巻(号)	96
ページ	1269-1293
刊行年月	2024-07-01
言語	英語
ハンドルURL	https://hdl.handle.net/11094/96469
PISSN	10171398
eISSN	15729265
関連情報 (isIdenticalTo)	DOI (出版社版) https://doi.org/10.1007/s11075-024-01824-w
アクセス権	open access
権利情報	This article is licensed under a Creative Commons Attribution 4.0 International License.
出版タイプ	Version of Record
カテゴリ	学術雑誌論文 Journal Article

資源タイプ	学術雑誌論文
ローカル資源タイプ	学術雑誌論文
DCTERMS.bibliographicCitation	Numerical Algorithms. 2024, 96, p. 1269-1293
DC.title	A new family of fourth-order energy-preserving integrators
DC.creator	Miyatake, Yuto
DC.publisher	Springer
DC.language' scheme='DCTERMS.RFC1766	英語
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2024-07-01
DC.identifier	https://doi.org/10.1007/s11075-024-01824-w
DC.subject	65L05
	65L06
	65P10
	Energy-preservation
	Parallelism
	Poisson system
DC.description	The version of record of this article, first published in Numerical Algorithms, is available online at Publisher’s website: https://doi.org/10.1007/s11075-024-01824-w.
DCTERMS.abstract	For Hamiltonian systems with non-canonical structure matrices, a new family of fourth-order energy-preserving integrators is presented. The integrators take a form of a combination of Runge–Kutta methods and continuous-stage Runge–Kutta methods and feature a set of free parameters that offer greater flexibility and efficiency. Specifically, we demonstrate that by carefully choosing these free parameters, a simplified Newton iteration applied to the integrators of order four can be parallelizable. This results in faster and more efficient integrators compared with existing fourth-order energy-preserving integrators.
DC.rights	This article is licensed under a Creative Commons Attribution 4.0 International License.
DC.format	96469
citation_title	A new family of fourth-order energy-preserving integrators
citation_author	Miyatake, Yuto
citation_publisher	Springer
citation_language	英語
citation_date	2024-07-01
citation_journal_title	Numerical Algorithms
citation_volume	96
citation_firstpage	1269
citation_lastpage	1293
citation_doi	https://doi.org/10.1007/s11075-024-01824-w
citation_public_url	https://hdl.handle.net/11094/96469

A new family of fourth-order energy-preserving integrators

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