Family of symplectic implicit Runge-Kutta formulae

DOI10.1007/BF02074888zbMath0761.65057OpenAlexW2086616053MaRDI QIDQ1198985

Satoshi Saito, Taketomo Mitsui, Sugiura, Hiroshi

Publication date: 16 January 1993

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02074888

zbMATH Keywords

Hamiltonian systemsRunge-Kutta methodsorder conditionscanonical methods\(s\)-stages methodButcher tableau

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (4)

New way to construct high order Hamiltonian variational integrators ⋮ Constructive characterization of Runge-Kutta methods that satisfy the M-condition ⋮ Recent progress in the theory and application of symplectic integrators ⋮ Symplectic central difference scheme for quasi-linear autonomous Birkhoffian systems

Cites Work

• Unnamed Item
• Unnamed Item
• Runge-Kutta schemes for Hamiltonian systems
• Canonical Runge-Kutta methods
• Butcher's simplifying assumption for symplectic integrators
• Stability of Runge-Kutta Methods for Trajectory Problems
• Order Conditions for Canonical Runge–Kutta Schemes
• Partitioned Runge-Kutta Methods for Separable Hamiltonian Problems

This page was built for publication: Family of symplectic implicit Runge-Kutta formulae