A Characterization of Energy-Preserving Methods and the Construction of Parallel Integrators for Hamiltonian Systems

• Miyatake, Yuto

• Butcher, John C.

抄録

High order energy-preserving methods for Hamiltonian systems are presented. For this aim, an energy-preserving condition of continuous stage Runge--Kutta methods is proved. Order conditions are simplified and parallelizable conditions are also given. The computational cost of our high order methods is comparable to that of the average vector field method of order two.

収録刊行物

• SIAM Journal on Numerical Analysis

  SIAM Journal on Numerical Analysis 54 (3), 1993-2013, 2016-06-29

  Society for Industrial and Applied Mathematics

キーワード

• energy-preservation
• continuous stage Runge-Kutta methods
• parallelism

詳細情報

• CRID: 1050845763735795584
• NII論文ID: 120005905587
• HANDLE: 2237/25322
• ISSN: 00361429
• Web Site: https://nagoya.repo.nii.ac.jp/records/23128
• 本文言語コード: en
• 資料種別: journal article
• データソース種別:
  • IRDB
  • CiNii Articles