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Reducing round-off errors in rigid body dynamics
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DOI：10.1016/j.jcp.2008.04.013.png)
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Abstract
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In several recent publications, numerical integrators based on Jacobi elliptic functions are proposed for solving the equations of motion of the rigid body. Although this approach yields theoretically the exact solution, a standard implementation shows an unexpected linear propagation of round-off errors. We explain how deterministic error contribution can be avoided, so that round-off behaves like a random walk. (c) 2008 Elsevier Inc. All rights reserved.
Keywords:
rigid body integrator
Jacobi elliptic functions
probabilistic error propagation
long-time integration
compensated summation
quaternion
discrete Moser-Veselov algorithm
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