Canonical Runge - Kutta - Nyström Methods of Orders 5 and 6
نویسنده
چکیده
In this paper, we construct canonical explicit 5-stage and 7-stage Runge-KuttaNyström methods of orders 5 and 6, respectively, for Hamiltonian dynamical systems.
منابع مشابه
Explicit Canonical Methods for Hamiltonian Systems
We consider canonical partitioned Runge-Kutta methods for separable Hamiltonians H = T(ß) + Viq) and canonical Runge-Kutta-Nyström methods for Hamiltonians of the form H = ^pTM~lp + Viq) with M a diagonal matrix. We show that for explicit methods there is great simplification in their structure. Canonical methods of orders one through four are constructed. Numerical experiments indicate the sui...
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