Symplectic integrators for index 1 constraints (Q2870638)
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scientific article; zbMATH DE number 6248289
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symplectic integrators for index 1 constraints |
scientific article; zbMATH DE number 6248289 |
Statements
21 January 2014
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symplectic integrators
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differential-algebraic equations
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index 1 systems
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variational nonholonomic equations
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vakonomic equations
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optimal control problems
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Hamiltonian systems
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symplectic Runge-Kutta methods
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sub-Riemannian geodesics
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Heisenberg problem
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Symplectic integrators for index 1 constraints (English)
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The authors study constrained Hamiltonian systems which can include some important problems in sub-Riemannian geometry. Symplectic Runge-Kutta methods are applied to this class of systems, and are proved to be convergent constraint-preserving symplectic numerical methods. The sub-Riemannian geodesics of a wheeled vehicle and the Heisenberg problem are illustrated to verify the efficiency of this class of numerical methods.
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