Browsing Technical Papers - DO NOT EDIT by Title
Now showing items 41-60 of 349
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Computer-Oriented, n-Body Modelling of Minimal Surfaces
(University of Texas at ArlingtonDepartment of Mathematics, 1982-12)**Please note that the full text is embargoed** ABSTRACT: In this paper a new approach to the modeling of minimal surfaces is described and applied. Rather than use a continuous model, we develop a discrete n-body model ... -
Cone-Valued Lyapunov Functions
(University of Texas at ArlingtonDepartment of Mathematics, 1976-08)**Please note that the full text is embargoed** ABSTRACT: It is very well known that employing a single Lyapunov function and the theory of scalar differential inequality offers a useful mechanism to study a ... -
Conservative Difference Formulations of Calogero and Toda Hamiltonian Systems
(University of Texas at ArlingtonDepartment of Mathematics, 1988)**Please note that the full text is embargoed** ABSTRACT: Calogero and Toda Hamiltonian systems are reformulated using only differences. The formulations prove to have the same fundamental invariants as the continuous ... -
Conservative Motion of a Discrete, Nonsymmetric, Hexahedral Gyroscope
(University of Texas at ArlingtonDepartment of Mathematics, 1997)**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 ... -
Conservative Motion of Discrete, Hexahedral Gyroscope
(University of Texas at ArlingtonDepartment of Mathematics, 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 ... -
Conservative Motion of Discrete, Tetrahedral Top on a Smooth Horizontal Plane
(University of Texas at ArlingtonDepartment of Mathematics, 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 ArlingtonDepartment of Mathematics, 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 ... -
Conserving Numerical Methods for x = f(x)
(University of Texas at ArlingtonDepartment of Mathematics, 1983-07)**Please note that the full text is embargoed** ABSTRACT: Physics is characterized by conservation laws and by symmetry [1]. Unfortunately, the application of numerical methodology in approximating solutions of initial ... -
Continuous Deformation of a Developable Surface
(University of Texas at ArlingtonDepartment of Mathematics, 1996-02)**Please note that the full text is embargoed** ABSTRACT: A developable surface can be developed from a piece of planar region, or vice versa. Several methods are known to construct an isometric mapping between the developable ... -
Controlling Curvature in the Minkowski Plane
(University of Texas at ArlingtonDepartment of Mathematics, 1997)**Please note that the full text is embargoed** ABSTRACT: Pontryagin's maximum principle is used to find the curve of shortest length with bounded Minkowskian curvature passing through two points with given initial and ... -
The Convolution of Generialized-F Distributions
(University of Texas at ArlingtonDepartment of Mathematics, 1981-01)**Please note that the full text is embargoed** ABSTRACT: The generalized-F variate is the ratio of two independent gamma variates, and its distribution includes as special cases such distributions as the inverted beta, ... -
Covariant Computation in Special Relativistic Dynamics
(University of Texas at ArlingtonDepartment of Mathematics, 1988)**Please note that the full text is embargoed** ABSTRACT: The motion of a particle in a special relativistic framework is studied numerically. Difference equations which are covariant are developed first. It is then shown ... -
CRAY X-MP/24 Fortran Programs for Capillarity
(University of Texas at ArlingtonDepartment of Mathematics, 1987)**Please note that the full text is embargoed** ABSTRACT: This technical report contains the FORTRAN programs used in generating capillary action. They are provided so that the computations described elsewhere can be ... -
Differential Equations on Closed Subsets of a Banach Space
(University of Texas at ArlingtonDepartment of Mathematics, 1974-07)**Please note that the full text is embargoed** ABSTRACT: The problem of existence of solutions to the initial value problem [see pdf for notations], where [see pdf for notations], F is a locally closed subset of a Banach ... -
Differential Inequalities and Flow-Invariance via Linear Functionals
(University of Texas at ArlingtonDepartment of Mathematics, 1977-05)**Please note that the full text is embargoed** ABSTRACT: This paper deals with flow-invariance properties with respect to [see pdf for notation] and resulting comparison inequalities. Both the order relation He and the ... -
A Direct Computational Method for Estimating the Parameters of a Nonlinear Model
(University of Texas at ArlingtonDepartment of Mathematics, 1978)**Please note that the full text is embargoed** ABSTRACT: We consider the system identification problem which deals with determining information about the unknown constant matrices A, B, and C or the linear dynamical system: ... -
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 ... -
Discrete Modeling of Minimal Surfaces
(University of Texas at ArlingtonDepartment of Mathematics, 1982-05)**Please note that the full text is embargoed** ABSTRACT: A new computer approach to the modeling of minimal surfaces is described and implemented. Quasi-molecular particles and forces are used to simulate actual molecular ... -
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 ... -
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 ...