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Arbitrary Order, Hamiltonian Conserving Numerical Solutions of Calogero and Toda Systems
(University of Texas at Arlington, 1990)
**Please note that the full text is embargoed** ABSTRACT: For Calogero and Toda dynamical equations two numerical methods of arbitrary high order, conserving the Hamiltonian are developed. The methods consist of modifications ...
Conservative Motion of Discrete, Hexahedral Gyroscope
(University of Texas at Arlington, 1996)
**Please note that the full text is embargoed** ABSTRACT: Gyroscopic motion is simulated by applying a molecular dynamics formulation to a rigid hexahedron. The conservative dynamical differential equations are solved ...
Classical, Computer Studies of One-Electron and Two-Electron Atoms and Ions
(University of Texas of Arlington, 1991-06)
**Please note that the full text is embargoed** ABSTRACT: A geometrical, computer-oriented method is utilized to generate circular orbits of electrons in one-electron and two-electron atoms and ions. The radii of these ...
Dynamical Simulation of the Simplest Hydrides
(University of Texas at Arlington, 1996)
**Please note that the full text is embargoed** ABSTRACT: In agreement with recent results of Gell-Mann and Hartle, we approximate electron motions in ground state Li7H1 and Li7H2 using an energy conserving numerical method ...
Dynamical Generation of Electron Motions in Ground State H2+, in Ground State H2, and in the First Excited State of H2
(University of Texas at Arlington, 1996)
**Please note that the full text is embargoed** ABSTRACT: Using the recent formulation of Gell-Mann and Hartle for approximating quantum dynamical phenomena by means of classical equations, we simulate electron motions in ...
Conservative Motion of Discrete, Tetrahedral Top on a Smooth Horizontal Plane
(University of Texas at Arlington, 1996)
**Please note that the full text is embargoed** ABSTRACT: Tetrahedral tops are simulated as discrete, rigid bodies in rotation by introducing a molecular mechanics formulation. The contact point of the top with the XY plane ...
Conservative Motion of Discrete, Tetrahedral Tops and Gyroscopes
(University of Texas at Arlington, 1996)
**Please note that the full text is embargoed** ABSTRACT: Tetrahedral tops and gyroscopes are simulated as discrete, rigid bodies in rotation by introducing a molecular mechanics formulation. The conservative, dynamical ...
Energy Conserving Numerical Solutions of Simplified Turbulence Equations
(University of Texas at Arlington, 1990)
**Please note that the full text is embargoed** ABSTRACT: The purpose of this paper is to develop some numerical methods for solving non-Hamiltonian nonintegrable simplified turbulence equations which conserve the energy. ...
Completely Conservative and Covariant Numerical Methodology for N-Body Problems With Distance-Dependent Potentials
(University of Texas at Arlington, 1992-01)
**Please note that the full text is embargoed** ABSTRACT: We consider a general class of N-body problems for arbitrary, distance-dependent potentials. Completely conservative, covariant numerical methodology is established ...
Heating Water Vapor in a Square Cavity Using Molecular and Particle Mechanics
(University of Texas at Arlington, 1999-02)
**Please note that the full text is embargoed** ABSTRACT: This paper explores the computer simulation of heating water vapor in a square cavity. Both molecular and particle mechanics are applied. A particular parameter ...