Time-discretization of Hamiltonian dynamical systems

DOI10.1016/0898-1221(94)00189-8zbMath0810.65069OpenAlexW2049014179MaRDI QIDQ1339311

Y. Shibberu

Publication date: 9 April 1995

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://scholar.rose-hulman.edu/cgi/viewcontent.cgi?article=1075&context=math_mstr

zbMATH Keywords

difference equationsautonomous systemsHamiltonian dynamical systemsnonautonomous systemsdiscrete variational principlediscrete time Hamiltonian

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12) Dynamical systems and ergodic theory (37-XX)

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Time-discretization of Hamiltonian dynamical systems ⋮ Symplectic-energy-momentum preserving variational integrators ⋮ Mechanical integrators derived from a discrete variational principle ⋮ Hamiltonian systems discrete-time approximation: losslessness, passivity and composability ⋮ On the Numerical Discretization in Space and Time: Part 2 - Total Energy Framework and Satisfaction of Conservation Properties of Discretized Equations of Motion for Linear Dynamics Problems

Cites Work

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• The discrete variational approach to the Euler-Lagrange equation
• Time-discretization of Hamiltonian dynamical systems
• Discrete numerical methods in physics and engineering
• DISCRETE HAMILTONIAN MECHANICS