Construction of High Order Symplectic Runge-Kutta Methods

Construction of High Order Symplectic Runge-Kutta Methods

Year:    1993

Journal of Computational Mathematics, Vol. 11 (1993), Iss. 3 : pp. 250–260

Abstract

Characterizations of symmetric and symplectic Runge-Kutta methods, which are based on the W-transformation of Hairer and Wanner, are presented. Using these characterizations we construct two classes of high order symplectic (symmetric and algebraically stable or algebraically stable) Runge-Kutta methods. They include and extend known classes of high order implicit Runge-Kutta methods.    

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1993-JCM-9324

Journal of Computational Mathematics, Vol. 11 (1993), Iss. 3 : pp. 250–260

Published online:    1993-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords: