Reducibility and characterization of symplectic Runge-Kutta methods

zbMath0852.65061MaRDI QIDQ1920168

Rudolf Scherer, Peter Görtz

Publication date: 20 August 1996

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/118947

zbMATH Keywords

Hamiltonian systemsorder conditionssymplectic methodssymplectic integrationpartitioned Runge-Kutta methodsorder barrierDJ-irreducibility

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Dynamical systems and ergodic theory (37-XX)

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Gauss-Runge-Kutta-Nyström methods ⋮ Hamiltonian systems and symplectic integrators

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