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Discrete Mechanims for Anisotropic Potentials
(University of Wisconsin-Madison Department of Computer Sciences, 1974)
In previous work, a new type of numerical method for the solution of equations of motion was derived, denoted "discrete mechanics", which has the unique property of conserving the additive constants of motion exactly. The ...
An Energy Conserving Modification of Numerical Methods for the Integration of Equations of Motion
(University of Wisconsin-Madison Department of Computer Sciences, 1974)
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 ...
Discrete Mechanics for Nonseparable Potentials with Application to the Leps Form
(University of Wisconsin-Madison Department of Computer Sciences, 1974)
In previous work, a new numerical method "discrete mechanics" was presented which conserved exactly the additive constants of motion. The basic formulae of "discrete mechanics" were originally derived for the case of a ...
Energy and Momentum Conserving Methods of Arbitrary Order for the Numerical Integration of Equations of Motion. II. Motion of a System of Particles
(University of Wisconsin-Madison Department of Computer Sciences, 1974)
In Part I of this work, numerical methods were derived for the solution of the equations of motion of a single particle subject to a central force which conserved exactly the energy and momenta. In the present work, the ...