High-order conservative discretizations for some cases of the rigid body motion

DOI10.1016/j.physleta.2008.10.089zbMath1227.70011OpenAlexW2079086472MaRDI QIDQ647024

Juan-Miguel Gracia

Publication date: 30 November 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.10.089

Mathematics Subject Classification ID

Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Systems arising from the discretization of structural vibration problems (70J50) Motion of the gyroscope (70E05)

Cites Work

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• Discretization of the Lagrange Top
• Integrable Discretizations of Some Cases of the Rigid Body Dynamics
• Simulating Hamiltonian Dynamics
• Integrable quadratic classical Hamiltonians onso(4) andso(3, 1)
• Preprocessed discrete Moser–Veselov algorithm for the full dynamics of a rigid body
• Numerical integrators based on modified differential equations
• Modified differential equations
• Geometric Numerical Integration
• A note on the numerical solution of the heavy top equations

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