Journal
SIAM JOURNAL ON NUMERICAL ANALYSIS
Volume 54, Issue 3, Pages 1993-2013Publisher
SIAM PUBLICATIONS
DOI: 10.1137/15M1020861
Keywords
energy-preservation; continuous stage Runge-Kutta methods; parallelism
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Funding
- Japan Society for the Promotion of Science for Young Scientists
- Marsden Fund of New Zealand
- Grants-in-Aid for Scientific Research [16K17550] Funding Source: KAKEN
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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.
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