Symplectic Partitioned Runge-Kutta Methods

Symplectic Partitioned Runge-Kutta Methods

Year:    1993

Journal of Computational Mathematics, Vol. 11 (1993), Iss. 4 : pp. 365–372

Abstract

For partitioned Runge-Kutta methods, in the integration of Hamiltonian systems, a condition for symplecticness and its characterization which is based on the W-transformation of Hairer and Wanner are presented. Examples for partitioned Runge-Kutta methods which satisfy the symplecticness condition are given. A special class of symplectic partitioned Runge-Kutta methods is constructed.  

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1993-JCM-9335

Journal of Computational Mathematics, Vol. 11 (1993), Iss. 4 : pp. 365–372

Published online:    1993-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords: