A changing-chart symplectic algorithm for rigid bodies and other Hamiltonian systems on manifolds (Q2780574)
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scientific article; zbMATH DE number 1729187
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A changing-chart symplectic algorithm for rigid bodies and other Hamiltonian systems on manifolds |
scientific article; zbMATH DE number 1729187 |
Statements
15 April 2002
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symplectic integrators
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constrained Hamiltonian systems
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flows on manifolds
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splitting methods
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rigid body
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algorithm
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A changing-chart symplectic algorithm for rigid bodies and other Hamiltonian systems on manifolds (English)
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The authors make use of the idea of constructing symplectic integrators for Hamiltonian flows on manifolds by covering the manifold with charts of an atlas, implementing the algorithm in each chart and switching among the charts whenever a coordinate singularity is approached. They use the method in solving two specific problems.
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