Comparative Study of Louville and Symplectic Integrators

Author

Daniel I. Okunbor

Abstract

In this paper, we construct an integrator that conserves volume in phase space. We compare the results obtained using this method and a symplectic integrator. The results of our experiments do not reveal any superiority of the symplectic over strictly volume-preserving integrators. We also investigate the effect of numerically conserving energy in a numerical process by rescaling velocities to keep energy constant at every step. Our results for Henon-Heiles problem show that keeping energy constant in this way destroys ergodicity and forces the solution onto a periodic orbit.

Recommended Citation

Okunbor, Daniel I., "Comparative Study of Louville and Symplectic Integrators" (1993). Computer Science Technical Reports. 47.
https://scholarsmine.mst.edu/comsci_techreports/47

Department(s)

Computer Science

Comments

This work was supported in part by NSF Grant DMS 90 15533 while the author was at the University of Illinois at Champaign-Urbana

Keywords and Phrases

Hamiltonian Systems; Energy Conservation; Symplectic Integrators; Louville Integrators

Report Number

CSC-93-26

Document Type

Technical Report

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 1993 University of Missouri--Rolla, All rights reserved.

Publication Date

29 Sep 1993