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

Contributors

Calvo, MariPaz; Hairer, Ernst

Published in

Applied numerical mathematics, vol. 18, no. 1-3, p. 107-114

Publication date

1995

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.

UNIGE 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 ISSN

0168-9274

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Creation

12/11/2010 15:10:00

First validation

12/11/2010 15:10:00

Update

14/03/2023 16:08:56

Status update

14/03/2023 16:08:56

Last indexation

29/10/2024 17:24:46

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

Contributors

Published in

Publication date

Abstract

UNIGE affiliation entities

Citation (ISO format)

Main files (1)

Identifiers

Journal ISSN

Technical informations

Creation

First validation

Update

Status update

Last indexation