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Volume 11, Issue 3
Construction of High Order Symplectic Runge-Kutta Methods

Geng Sun

J. Comp. Math., 11 (1993), pp. 250-260.

Published online: 1993-11

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  • 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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@Article{JCM-11-250, author = {Geng Sun}, title = {Construction of High Order Symplectic Runge-Kutta Methods}, journal = {Journal of Computational Mathematics}, year = {1993}, volume = {11}, number = {3}, pages = {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.    

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9324.html} }
TY - JOUR T1 - Construction of High Order Symplectic Runge-Kutta Methods AU - Geng Sun JO - Journal of Computational Mathematics VL - 3 SP - 250 EP - 260 PY - 1993 DA - 1993/11 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9324.html KW - AB -

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.    

Geng Sun. (1993). Construction of High Order Symplectic Runge-Kutta Methods. Journal of Computational Mathematics. 11 (3). 250-260. doi:
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