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math.NA2022★ 8 cited
Preservation of Quadratic Invariants by Semiexplicit Symplectic Integrators for Non-separable Hamiltonian Systems
Tomoki Ohsawa
We prove that the recently developed semiexplicit symplectic integrators for non-separable Hamiltonian systems preserve any linear and quadratic invariants possessed by the Hamilto…
math.NA2021★ 12 cited
Semiexplicit Symplectic Integrators for Non-separable Hamiltonian Systems
Buddhika Jayawardana, Tomoki Ohsawa
We construct a symplectic integrator for non-separable Hamiltonian systems combining an extended phase space approach of Pihajoki and the symmetric projection method. The resulting…