Butcher's simplifying assumption for symplectic integrators

DOI10.1007/BF01994886zbMath0755.65077MaRDI QIDQ1196879

Satoshi Saito, Sugiura, Hiroshi, Taketomo Mitsui

Publication date: 16 January 1993

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian systemsorder conditionsimplicit Runge-Kutta methodssymplectic Runge-Kutta methodssimplifying assumptions

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Hamilton's equations (70H05) 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)

Related Items

Constructive characterization of Runge-Kutta methods that satisfy the M-condition, Family of symplectic implicit Runge-Kutta formulae

Cites Work

• Unnamed Item
• Runge-Kutta schemes for Hamiltonian systems
• Stability of Runge-Kutta Methods for Trajectory Problems
• Order Conditions for Canonical Runge–Kutta Schemes