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On a New Mathematical Model of the Molecular Bond
(University of Texas at Arlington, 2001-05)
**Please note that the full text is embargoed** ABSTRACT: Using a new model of the molecular bond, we produce a set of initial conditions for the ground state H2 molecule which yield, over one complete period, bond length ...
A Semiclassical, Dynamical Model of Methane
(University of Texas at Arlington, 1993)
**Please note that the full text is embargoed** ABSTRACT: In this paper we present a semiclassical, dynamical model of the ground state methane molecule. The resulting 13-body problem is solved numerically using energy ...
Particle Simulation of Compression Waves
(University of Texas at Arlington, 1984-05)
**Please note that the full text is embargoed** ABSTRACT: Compression waves are studied using a quasi-molecular, particle approach. Explosive type disturbances are simulated to generate such waves, which
propagate by the ...
A Discrete Model for the Recovery of Oil from a Reservoir
(University of Texas at Arlington, 1984)
**Please note that the full text is embargoed** ABSTRACT: In this work we simulate oil recovery by means of a molecular type approach. This means that we consider the solid and liquid materials to be
composed of a finite ...
Particle Modeling of Unstable Mode Configurations and Elastic Bending of Deformable Shells
(University of Texas at Arlington, 1984)
**Please note that the full text is embargoed** ABSTRACT: A new particle-type of modeling is developed for the simulation of phenomena related to the bending of elastic shells. Application is
made to the determination of ...
Discrete Spring Solitons
(University of Texas at Arlington, 2001-05)
**Please note that the full text is embargoed** ABSTRACT: A soliton is a local, traveling wave pulse. It is significant in a variety of unrelated areas, like studies of water waves, acoustic waves, electron transfer, gravity ...
A Geometric Inequality for Convex Polygons
(University of Texas at Arlington, 2001-05)
**Please note that the full text is embargoed** ABSTRACT: Consider a regular polygon with vertices P1, P2, , Pn. Assume P
is an interior point. Let [see pdf for notation] denote the Euclidean distance from P to Pi, i = ...
Minkowski's Inequality for Convex Curves
(University of Texas at Arlington, 2001-05)
**Please note that the full text is embargoed** ABSTRACT: Minkowski's inequality is a relation between mixed areas of two curves and their respective areas. The concept of mixed area is defined. A variational technique is ...
Geometrical Problems in Engineering Mechanics
(University of Texas at Arlington, 2005-11)
**Please note that the full text is embargoed** ABSTRACT: Four problems in two dimensional geometry are presented, which are applicable to education of the basic courses, statics. These problems represent geometrical ...
Sample Solutions of Stochastic Boundary Value Problems
(University of Texas at Arlington, 1984-11)
**Please note that the full text is embargoed** ABSTRACT: We prove existence theorems for nonlinear stochastic
Sturmiouville problems which improve results from [4].
In the simplest case this is done by means of a known ...