A Note on Symplectic Algorithm
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چکیده
We present the symplectic algorithm in the Lagrangian formalism for the Hamiltonian systems by virtue of the noncommutative differential calculus with respect to the discrete time and the Euler–Lagrange cohomological concepts. We also show that the trapezoidal integrator is symplectic in certain sense.
منابع مشابه
A Note on Symplectic Algorithms
1. It is well known that the symplectic algorithms [1][2] for the finite dimensional Hamiltonian systems are very powerful and successful in numerical calculations in comparison with other various non-symplectic computational schemes since the symplectic schemes preserve the symplectic structure in certain sense. On the other hand, the Lagrangian formalism is quie useful for the Hanmiltonian sy...
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تاریخ انتشار 2001