Title :
Symplectic Runge-Kutta Methods Generated by Trapezoidal Rule
Author_Institution :
Sch. of Inf., Beijing Wuzi Univ., Beijing, China
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 trapezoidal rule 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 the trapezoidal rule in this paper.
Keywords :
numerical analysis; Hamiltonian systems integration; numerical integration; symplectic Runge-Kutta method; symplectic partitioned Runge-Kutta methods; symplecticity property; trapezoidal rule; Differential equations; Educational institutions; Electronic mail; Equations; Geometry; Systematics; Hamiltonian systems; Runge-Kutta method; partitioned Runge-Kutta method; symplecticity; trapezoidal rule;
Conference_Titel :
Computational and Information Sciences (ICCIS), 2013 Fifth International Conference on
Conference_Location :
Shiyang
DOI :
10.1109/ICCIS.2013.251
