Exponentially fitted symmetric and symplectic DIRK methods for oscillatory Hamiltonian systems

DOI10.1007/s10910-017-0841-xzbMath1446.65197OpenAlexW2775776423MaRDI QIDQ2636419

Dongxu Diao, Xilin Hou, Xiong You, Ruqiang Zhang, Julius Osato Ehigie, Yong Lei Fang

Publication date: 5 June 2018

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-017-0841-x

zbMATH Keywords

symmetryHamiltonian systemexponential fittingdiagonally implicit Runge-Kutta methodsymplecticity

Mathematics Subject Classification ID

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) Numerical methods for stiff equations (65L04)

Related Items (1)

Exponentially fitted two-derivative DIRK methods for oscillatory differential equations

Uses Software

• RODAS

Cites Work

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