Hamiltonian systems and symplectic integrators

DOI10.1016/S0362-546X(97)00151-XzbMath0889.65077MaRDI QIDQ4377267

Peter Görtz, Rudolf Scherer

Publication date: 2 June 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

stabilityharmonic oscillatorautonomous Hamiltonian systemssymplectic Runge-Kutta methods

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) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (1)

The multi-symplecticity of partitioned Runge-Kutta methods for Hamiltonian PDEs

Cites Work

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• Multi-stage symplectic schemes of two kinds of Hamiltonian systems for wave equations
• Unconditionally stable methods for second order differential equations
• Symplectic integration of Hamiltonian wave equations
• Reducibility and characterization of symplectic Runge-Kutta methods
• Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions
• Diagonally Implicit Runge–Kutta–Nyström Methods for Oscillatory Problems
• The accuracy of symplectic integrators

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