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

Calvo, MariPaz; Hairer, Ernst

Scientific article

English

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

ContributorsCalvo, MariPaz; Hairer, Ernst

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.

Affiliation entities

Faculté des sciences / Section de mathématiques

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.

Article (Published version)

Identifiers

PID : unige:12489

Journal ISSN0168-9274

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

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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