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ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1988
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), \(x,y\in {\mathbb{R}}^ n\), \(t\in {\mathbb{R}}\).
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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), \(x,y\in {\mathbb{R}}^ n\), \(t\in {\mathbb{R}}\).
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Parallel Runge-Kutta-Nyström methods
1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. R. CRISCI, PATERNOSTER, Beatrice
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RUN beyond the metaphor: An efficient optimization algorithm based on Runge Kutta method
Expert Systems With Applications, 2021Iman Ahmadianfar +2 more
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Total variation diminishing Runge-Kutta schemes
Mathematics of Computation, 1998Sigal Gottlieb, Chi-Wang Shu
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Implicit–Explicit Runge–Kutta Schemes and Applications to Hyperbolic Systems with Relaxation
Journal of Scientific Computing, 2005Lorenzo Pareschi, Giovanni Russo
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