Novel high-order energy-preserving diagonally implicit Runge-Kutta schemes for nonlinear Hamiltonian ODEs

DOI10.1016/j.aml.2019.106091OpenAlexW2981121351WikidataQ127018983 ScholiaQ127018983MaRDI QIDQ2184902

Songhe Song, Xu Qian, Hong Zhang

Publication date: 2 June 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.106091

zbMATH Keywords

invariant energy quadratizationenergy-preserving propertyhigh-order diagonally implicit Runge-Kutta schemesnonlinear Hamiltonian ODEs

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for initial value problems involving ordinary differential equations (65L05) 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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