A Note on Symplectic Algorithms
classification
⚛️ physics.comp-ph
keywords
symplecticalgorithmalgorithmscalculuscertaincohomologicalconceptsdifferential
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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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