A Note on Symplectic Algorithms

Details A Note on Symplectic Algorithms A Note on Symplectic Algorithms

2001-04-06

arxiv.org/abs/physics/0104030v2

Physics

Computational Physics

8 pages, 0 figure

Scientific paper

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.

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