Global modified Hamiltonian for constrained symplectic integrators (Q1407689)
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scientific article; zbMATH DE number 1982597
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global modified Hamiltonian for constrained symplectic integrators |
scientific article; zbMATH DE number 1982597 |
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Global modified Hamiltonian for constrained symplectic integrators (English)
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16 September 2003
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This paper shows that the numerical solution arising from certain classes of partitioned Runge-Kutta methods (such as the Lobatto IIA--IIIB pair) applied to constrained Hamiltonian systems is equal to the exact solution of a constrained Hamiltonian problem with a globally defined modified Hamiltonian. This theory is illustrated in the case of the equations of motion of an unsymmetric top.
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partitioned Runge-Kutta method
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Hamiltonian system
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symplectic integrator
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