A new family of fourth-order energy-preserving integrators

Miyatake, Yuto

Numerical Algorithms, 2024, 96, 1269-1293

Number of Access:213（2025-08-14 06:02 Counts）

Identifier to cite or link to this item: https://hdl.handle.net/11094/96469

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Title
A new family of fourth-order energy-preserving integrators
Creator
NRID
1000060757384 1000060757384
ORCID
0000-0002-5742-6251 0000-0002-5742-6251
researchmap permalink
miyatake miyatake
Scopus Author ID
41861885700 41861885700
CreatorName
Miyatake, Yuto
Subject
65L05
65L06
65P10
Energy-preservation
Parallelism
Poisson system
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.
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.
Publisher
Springer
Source Title
Numerical Algorithms
Volume (Issue)
96
Page
1269-1293
Date of Issued
2024-07-01
Language
English
Handle URL
https://hdl.handle.net/11094/96469
PISSN
10171398
eISSN
15729265
Relation.isIdenticalTo
DOI (Publisher Version)
https://doi.org/10.1007/s11075-024-01824-w
Access Rights
open access
CopyRight
This article is licensed under a Creative Commons Attribution 4.0 International License.
oaire:version
Version of Record
Category
学術雑誌論文 Journal Article