The Lie-Trotter integrator in the dynamics of a mechanical system

DOI10.1016/j.geomphys.2019.07.001zbMath1425.65206arXiv1703.01180OpenAlexW2961659155MaRDI QIDQ2331492

Ciprian Hedrea

Publication date: 29 October 2019

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.01180

zbMATH Keywords

dynamicsdifferential geometrymechanical systemsymplectic integratorsymmetrical rigid body

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Geometry and quantization, symplectic methods (81S10) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Cites Work

• Runge-Kutta schemes for Hamiltonian systems
• Canonical Runge-Kutta methods
• Almost Poisson integration of rigid body systems
• Comment on ``Poisson schemes for Hamiltonian systems on Poisson manifolds
• Explicit high-order symplectic integrators for charged particles in general electromagnetic fields
• Word series for dynamical systems and their numerical integrators
• Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
• Some remarks on the dynamics of the underwater vehicle
• On the Product of Semi-Groups of Operators
• STABILITY, PERIODIC SOLUTIONS AND NUMERICAL INTEGRATION IN THE KOWALEVSKI TOP DYNAMICS
• Symplectic integration of Hamiltonian systems
• The Dynamics of Rabinovich system
• On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods
• LIE–TROTTER FORMULA AND POISSON DYNAMICS
• Symplectic integrators: An introduction
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