Proves that the Lie algebra generated by strict and prolonged Hamiltonians is dense in the space of smooth contact Hamiltonians, yielding local universal splitting integrators realized via lifted symplectic and ODE methods.
Contact geometry for simple thermodynamical systems with friction.Proceedings of the Royal Society A, 476(2241):20200244
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Local Universal Splitting Integrators for Contact Hamiltonian Systems
Proves that the Lie algebra generated by strict and prolonged Hamiltonians is dense in the space of smooth contact Hamiltonians, yielding local universal splitting integrators realized via lifted symplectic and ODE methods.