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Subjects
65-XX Numerical analysis
65Pxx Numerical problems in dynamical systems
65P10 Hamiltonian systems including symplectic integrators

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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.

Error analysis of QR algorithms for computing Lyapunov exponents.

McDonald, Edward J., Higham, Desmond J. (2001)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

Currently displaying 1 – 2 of 2

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