Browsing Technical Papers - DO NOT EDIT by Title
Now showing items 180-199 of 349
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A New Approach to Computer Oriented, Quasi-Quantum Mechanical Dynamics
(University of Texas at ArlingtonDepartment of Mathematics, 1979-06)**Please note that the full text is embargoed** ABSTRACT: A new approach to atomic and molecular dynamics is developed which combines both quantum and classical concepts. Applications are made to the hydrogen atom, the ... -
A New Approach to the Method of Nonlinear Variation of Parameters
(University of Texas at ArlingtonDepartment of Mathematics, 1975-01)**Please note that the full text is embargoed** ABSTRACT: As is well-known [3] the method of variation of parameters is a very useful tool in studying the properties of solutions of perturbed differential equations. Extending ... -
A New Approach to the Stability Theory of Functional Differential Systems
(University of Texas at ArlingtonDepartment of Mathematics, 1982-01)**Please note that the full text is embargoed** ABSTRACT: In the study of stability theory for delay differential equations using Lyapunov functions and the theory of differential inequalities, it becomes necessary to ... -
A New Computer Approach to Atomic and Molecular Dynamics with Application to the Water Molecule
(University of Texas at ArlingtonDepartment of Mathematics, 1981-07)**Please note that the full text is embargoed** ABSTRACT: A new computer oriented theory for atomic and molecular dynamics is developed. In it are incorporated modifications of classical ideas which are motivated by modern ... -
A New Computer Approach to Atomic Electron Configuartions with Application to the Elements from Helium Through Oxygen
(University of Texas at ArlingtonDepartment of Mathematics, 1979-10)**Please note that the full text is embargoed** ABSTRACT: In this paper a new, computer approach is developed for atomic and molecular dynamics. Though classical in nature, it includes all electron-electron interactions. ... -
A New Computer Approach to the Modeling of Close Binary Stars
(Department of MathematicsDepartment of Mathematics, 1983-01)**Please note that the full text is embargoed** ABSTRACT: A new, n-body approach is developed for the modeling of close binary systems, the most commonly occurring star systemsknown. Both local and long range forces are ... -
A New Computer-Oriented Approach to Molecular Mechanics
(University of Texas at ArlingtonDepartment of Mathematics, 1982-02)**Please note that the full text is embargoed** ABSTRACT: A new dynamical theory for atomic and molecular dynamics is formulated and discussed. The associated nonlinear differential system is derived from general atomic ... -
A New Mathematical Approach to Biological Cell Rearrangement with Applications to the Inversion of Volvox
(University of Texas at ArlingtonDepartment of Mathematics, 1980-05)**Please note that the full text is embargoed** ABSTRACT: This paper develops a new method for modeling cell rearrangement in both two and three dimensions. The method uses classical molecular type forces and is computer ... -
New Mathematical Properties of the Banzhaf Value
(University of Texas at ArlingtonDepartment of Mathematics, 1995-01)**Please note that the full text is embargoed** ABSTRACT: In a paper by P. Dubey and L.S. Shapley an axiomatic definition of the Banzhaf value has been extracted from an axiomatic definition of the Banzhaf power index (see ... -
New Mathematical Properties of the Least Square Value
(University of Texas at ArlingtonDepartment of Mathematics, 1996-03)**Please note that the full text is embargoed** ABSTRACT: The Least Square Values for cooperative TU games (briefly, LS-values) represent a family of solutions of the following family of optimization problems associated ... -
A New Method for Approximating Quantum Dynamical Phenomena Over Short (and Sometimes Long) Time Periods
(University of Texas at ArlingtonDepartment of Mathematics, 1995)**Please note that the full text is embargoed** ABSTRACT: Approximate electron and proton motions are simulated for short time periods for using a special case of the quantum mechanical Ehrenfest equations. Attention is ... -
A New Model of the Molecular Bond
(University of Texas at ArlingtonDepartment of Mathematics, 1991)**Please note that the full text is embargoed** ABSTRACT: It is assumed, on the basis of recent supercomputer calculations, that electrons attract, rather than repel. The consequences are explored by means of three dimensional, ... -
Non-Splitting Unitary Perfect Polynomials Over GF(p), 7≤p≤19
(University of Texas at ArlingtonDepartment of Mathematics, 1978-04)**Please note that the full text is embargoed** ABSTRACT: Examples are given of non-splitting unitary perfect polynomials over [see pdf for notation] for [see pdf for notation]. These, together with previous results, ... -
Non-Splitting Unitary Perfect Polynomials Over GF(q)t
(University of Texas at ArlingtonDepartment of Mathematics, 1978-10)**Please note that the full text is embargoed** ABSTRACT: It has been conjectured that there are infinitely many distinct pd-equivalence classes of non-splitting unitary perfect polynomials over GF(pd) for each prime ... -
Nonexistence of Spatially Localized Free Vibrations for a Class of Nonlinear Wave Equations
(University of Texas at ArlingtonDepartment of Mathematics, 1985)**Please note that the full text is embargoed** ABSTRACT: We prove the nonexistence of free vibrations of arbitrary period with polynomially decreasing profiles for a large class of nonlinear wave equations in one space ... -
A Nonlinear Variation of Constants Method for Integro-Differential and Integral Equations
(University of Texas at ArlingtonDepartment of Mathematics, 1976-02)**Please note that the full text is embargoed** ABSTRACT: It is well known that a very important technique in obtaining the asymptotic behavior of solutions of linear and nonlinear ordinary differential equations ... -
Nonuniqueness Criteria for Ordinary Differential Equations
(University of Texas at ArlingtonDepartment of Mathematics, 1981-10)**Please note that the full text is embargoed** ABSTRACT: We consider an initial value problem (1.1) [see pdf for notation] where [see pdf for notation]. Several uniqueness results weaker than a Lipschitz condition are ... -
Note on Special Relativistic Calculations with Identical Laboratory and Rocket Frame Computers
(University of Texas at ArlingtonDepartment of Mathematics, 1978-12)**Please note that the full text is embargoed** ABSTRACT: Dynamical relativistic problems invariably require the solution of nonlinear differential equations. These equations are rarely solvable in closed form and are ... -
Numerical Simulation of Free Surface Thermally-Influenced Flows for Nonhomogeneous Fluids
(University of Texas at ArlingtonDepartment of Mathematics, 1980-11)**Please note that the full text is embargoed** ABSTRACT: In this paper a finite difference technique is presented to simulate the behavior of natural water bodies under the influence of pollutants and temperature ... -
Numerical Simulation of Miscible and Immiscible Fluid Flows in Porous Media
(University of Texas at ArlingtonDepartment of Mathematics, 1981-02)**Please note that the full text is embargoed** ABSTRACT: Fast, economical, and accurate finite difference numerical methods are developed for approximating continuum models of both miscible and immiscible fluid flows ...