Symplectic Partitioned Runge-Kutta and Symplectic Runge-Kutta Methods Generated by 2-Stage RadauIA Method

Abstract:

To preserve the symplecticity property, it is natural to require numerical integration of Hamiltonian systems to be symplectic. As a famous numerical integration, it is known that the 2-stage RadauIA method is not symplectic. With the help of symplectic conditions of Runge-Kutta method and partitioned Runge-Kutta method, a symplectic partitioned Runge-Kutta method and a symplectic Runge-Kutta method are constructed on the basis of 2-stage RadauIA method in this paper.

• Periodical: Applied Mechanics and Materials (Volumes 444-445)
• Pages: 633-636
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.444-445.633
• Online since: October 2013
• Authors: Jia Bo Tan
• Keywords: Hamiltonian Systems, Partitioned Runge-Kutta Method, RadauIA Method, Runge-Kutta Method, Symplecticity

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