
doi: 10.1007/bf00945133
An integration procedure is called canonical if it generates a globally canonical map if applied to a Hamiltonian system. In this note the author characterizes all canonical Runge-Kutta methods for Hamiltonian systems of the form \(\dot x=H^ T_ y\), \(\dot y=-H^ T_ x\) with Hamiltonian H(x,y,t), \(x,y\in {\mathbb{R}}^ n\), \(t\in {\mathbb{R}}\).
Hamilton's equations, Numerical analysis in abstract spaces, Dynamical systems and ergodic theory, Hamiltonian system, canonical Runge-Kutta methods
Hamilton's equations, Numerical analysis in abstract spaces, Dynamical systems and ergodic theory, Hamiltonian system, canonical Runge-Kutta methods
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