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Symplectic analytically integrable decomposition algorithms: classification, derivation, and application to molecular dynamics, quantum and celestial mechanics simulations

Numerical AnalysisHamiltonian TheoryNumerical ComputationEngineeringPhysicsNatural SciencesIntegrable Decomposition AlgorithmsNumerical SimulationCelestial Mechanics SimulationsComputational ChemistryQuantum ChemistryGeometric QuantizationDiscrete Integrable SystemHamiltonian System