Runge–Kutta methods determined from extended phase space methods for Hamiltonian systems

08/12/2023

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by   Robert I McLachlan, et al.

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We study two existing extended phase space integrators for Hamiltonian systems, the midpoint projection method and the symmetric projection method, showing that the first is a pseudosymplectic and pseudosymmetric Runge–Kutta method and the second is a monoimplicit symplectic Runge–Kutta method.