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Symplectic Effective Order Numerical Methods for Separable Hamiltonian Systems
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A family of explicit symplectic partitioned Runge-Kutta methods are derived with effective order 3 for the numerical integration of separable Hamiltonian systems. The proposed explicit methods are more efficient than existing symplectic implicit Runge-Kutta methods. A selection of numerical experiments on separable Hamiltonian system confirming the efficiency of the approach is also provided with good energy conservation.
Title: Symplectic Effective Order Numerical Methods for Separable Hamiltonian Systems
Description:
A family of explicit symplectic partitioned Runge-Kutta methods are derived with effective order 3 for the numerical integration of separable Hamiltonian systems.
The proposed explicit methods are more efficient than existing symplectic implicit Runge-Kutta methods.
A selection of numerical experiments on separable Hamiltonian system confirming the efficiency of the approach is also provided with good energy conservation.
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