Technical Papers - DO NOT EDIT: Recent submissions
Now showing items 41-60 of 349
-
Molecular Cavity Flow
(University of Texas at ArlingtonDepartment of Mathematics, 1998-01)**Please note that the full text is embargoed** ABSTRACT: Using molecular mechanics, cavity flow is studied in a basin of 4235 water molecules at 15°C. Primary vortices are generated with wallspeeds [see pdf for notation]. ... -
Potential and Consistency for Semivalues of Finite Cooperative TU Games
(University of Texas at ArlingtonDepartment of Mathematics, 1998-01)**Please note that the full text is embargoed** ABSTRACT: A new axiomatic characterization of the semivalues of finite cooperative n-person games with transferable utilities is given, by using a potential function. The ... -
Studies in Rapid Kinetic Reactions by Quasi-Quantum Mechanical, Conservative Methodology
(University of Texas at ArlingtonDepartment of Mathematics, 1990-12)**Please note that the full text is embargoed** ABSTRACT: Simulations are made of prototype, ground state, rapid kinetic reactions for A+BC, in which B, and C are hydrogen atoms and BC is a hydrogen molecule. We study ... -
Accurate Quasi-Quantum Mechanical Numerical Methodology
(University of Texas at ArlingtonDepartment of MathematicsDepartment of Mathematics, 1990-10)**Please note that the full text is embargoed** ABSTRACT: A quasi-quantum mechanical method in which energy is determined by quantum mechanics and motion by Newtonian mechanics is studied by combining it with numerical ... -
A Particle Model of Ground State H2
(University of Texas at ArlingtonDepartment of Mathematics, 1990-06)**Please note that the full text is embargoed** ABSTRACT: A particle model is developed for the ground state H2 molecule. Interparticle forces are formulated which are noncoulombic, but nearly coulombic. The vibration ... -
On the Error in Quasi-Quantum Mechanical Calculations
(University of Texas at ArlingtonDepartment of Mathematics, 1990-06)**Please note that the full text is embargoed** ABSTRACT: A numerical simulation of the vibration of a ground state H2 molecule is made from a quasi-quantum mechanical point of view, that is, energy has been determined ... -
Discriminatory Von Neumann-Morgenstern Solutions
(University of Texas at ArlingtonDepartment of Mathematics, 1990-05)**Please note that the full text is embargoed** ABSTRACT: The von Neumann-Morgenstern solution (vN-M solution) or stable set is arguably the most dynamic and flexible solution concept for cooperative games with ... -
Dynamics of Large Eddies in Turbulent Channel Flows
(University of Texas at ArlingtonDepartment of Mathematics, 1987-06)**Please note that the full text is embargoed** ABSTRACT: A turbulence model that describes dynamics of large, characteristic eddies in inhomogeneous flows is proposed; two closure parameters are initially undetermined. ... -
An Elementary Algebraic Method for Approximating Average Radii of First and Secong Ring Electrons
(University of Texas at ArlingtonDepartment of Mathematics, 1984-11)**Please note that the full text is embargoed** ABSTRACT: In this paper, experimental ionization energies are used to determine algebraic equations whose solutions approximate relativistic quantum mechanical estimates ... -
Sample Solutions of Stochastic Boundary Value Problems
(University of Texas at ArlingtonDepartment of Mathematics, 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 ... -
A Discrete Model for the Recovery of Oil from a Reservoir
(University of Texas at ArlingtonDepartment of Mathematics, 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 ArlingtonDepartment of Mathematics, 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 ... -
Particle Simulation of Compression Waves
(University of Texas at ArlingtonDepartment of Mathematics, 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 ... -
Geometrical Problems in Engineering Mechanics
(University of Texas at ArlingtonDepartment of Mathematics, 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 ... -
A Geometric Inequality for Convex Polygons
(University of Texas at ArlingtonDepartment of Mathematics, 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 Arlingtonhttp://hdl.handle.net/10106/2458, 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 ... -
Discrete Spring Solitons
(University of Texas at ArlingtonDepartment of Mathematics, 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 ... -
On a New Mathematical Model of the Molecular Bond
(University of Texas at ArlingtonDepartment of Mathematics, 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 ArlingtonDepartment of Mathematics, 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 Modelling of a Jiggling Gel
(University of Texas at ArlingtonDepartment of Mathematics, 1993)**Please note that the full text is embargoed** ABSTRACT: Computer generated conical gels are constructed using classical molecular type formulas. Gravity is included in the modeling. Illustrative examples of gel jiggling ...