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

DOI10.1137/15M1020861zbMath1342.65232arXiv1505.02537OpenAlexW1506094548MaRDI QIDQ5739963

Yuto Miyatake, John C. Butcher

Publication date: 7 July 2016

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.02537

zbMATH Keywords

Hamiltonian systemsparallelismenergy-preservationcontinuous stage Runge-Kutta methods

Mathematics Subject Classification ID

Parallel numerical computation (65Y05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

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Uses Software

• RODAS

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