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Scientific article
English

Further reduction in the number of independent order conditions for symplectic, explicit Partitioned Runge-Kutta and Runge-Kutta-Nyström methods

Published inApplied numerical mathematics, vol. 18, no. 1-3, p. 107-114
Publication date1995
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.

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.
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Identifiers
  • PID : unige:12489
ISSN of the journal0168-9274
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