International Journal of Mathematics and Mathematical Sciences
Volume 10 (1987), Issue 1, Pages 173-179
doi:10.1155/S0161171287000218
An energy conserving modification of numerical methods for the integration of equations of motion
Robert A. Labudde1
and Donald Greenspan2
1821 Hialeah Dr., Virginia Beach, 23462, VA, USA
2Department of Mathematics, University of Texas, Arlington 76019, Texas, USA
Abstract
In the integration of the equations of motion of a system of particles, conventional numerical methods generate an error in the total energy of the same order as the truncation error. A simple modification of these methods is described, which results in exact conservation of the energy.