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Evolutionary derivation of quadratic symplectic Runge–Kutta–Nyström methods

Evolutionary derivation of quadratic symplectic Runge–Kutta–Nyström methods

We derive Runge–Kutta–Nyström (RKN) method of of fifth order for quadratic Hamiltonian systems at a cost of five stages. This was achieved using Evolutionary Optimization at the stage of solving the order conditions.