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Energy-preserving Runge-Kutta methods

Elena Celledoni; Robert I. McLachlan; David I. McLaren; Brynjulf Owren; G. Reinout W. Quispel; William M. Wright — 2009

ESAIM: Mathematical Modelling and Numerical Analysis

We show that while Runge-Kutta methods cannot preserve polynomial invariants in general, they can preserve polynomials that are the energy invariant of canonical Hamiltonian systems.

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