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Further reduction in the number of independent order conditions for symplectic, explicit Partitioned Runge-Kutta and Runge-Kutta-Nyström methods |
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Published in | Applied numerical mathematics. 1995, vol. 18, no. 1-3, p. 107-114 | |
Abstract | We are concerned with symplectic Partitioned Runge-Kutta and Runge-Kutta-Nyström methods for the numerical integration of Hamiltonian systems of ordinary differential equations. We show that for these methods, explicitness operates as a simplifying assumption for the study of the order conditions. | |
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Citation (ISO format) | CALVO, MariPaz, HAIRER, Ernst. Further reduction in the number of independent order conditions for symplectic, explicit Partitioned Runge-Kutta and Runge-Kutta-Nyström methods. In: Applied numerical mathematics, 1995, vol. 18, n° 1-3, p. 107-114. https://archive-ouverte.unige.ch/unige:12489 |