Abstract
We consider the solution of Hamiltonian dynamical systems by constructing eighth-order explicit symplectic Runge-Kutta-Nyström integrators. The application of highorder integrators may be important in areas such as in astronomy. They require large number of function evaluations, which make them computationally expensive and easily susceptible to errors. The integrators developed in this paper require 17 function evaluations as opposed to the 26-stage (effectively 24) eighth-order explicit symplectic Runge-Kutta-Nyström method derived by Calvo and Sanz-Serna. Numerical tests using the 2-Body and the sine-Gordon problems indicate that our methods are comparable to that of Calvo and Sanz-Serna and Yoshida.
Recommended Citation
Okunbor, Daniel I. and Lu, Eric J., "Eighth-order Explicit SymplecticRunge-Kutta-Nyström Integrators" (1994). Computer Science Technical Reports. 170.
https://scholarsmine.mst.edu/comsci_techreports/170
Department(s)
Computer Science
Keywords and Phrases
Hamiltonian systems, symplectic integrators, stability.
Report Number
CSc-94-21
Document Type
Technical Report
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 1994 University of Missouri - Rolla, All rights reserved
Publication Date
1 September, 1994
Comments
Both Authors of this report are Graduate Students.