Browsing Technical Papers by Title
Now showing items 120 of 349

Absolute Minimization by Supercomputer Computation
(University of Texas at ArlingtonDepartment of Mathematics, 1987)Numerical methodology is developed for approximating the absolute minimum of a function or a functional. Only simplistic numerical techniques are introduced and explored. CRAY X—MP/24 computer examples are described and discussed. 
Accurate QuasiQuantum Mechanical Numerical Methodology
(University of Texas at ArlingtonDepartment of MathematicsDepartment of Mathematics, 199010)A quasiquantum mechanical method in which energy is determined by quantum mechanics and motion by Newtonian mechanics is studied by combining it with numerical methodology which conserves energy exactly at each time ... 
An Algorithm for Finding the Generalized Nucleolus of a Finite Set and the Multiobjective Discrete Programming Problems
(University of Texas at ArlingtonDepartment of Mathematics, 198203) 
Allocations to Discriminated Players in Discriminatory Von NeumannMorgenstern Solutions
(University of Texas at ArlingtonDepartment of Mathematics, 199108)Von NeumannMorgenstern solutions (stable sets) for cooperative sidepayment games are notoriously difficult to find. This paper provides guidelines on how to find discriminatory vNM solutions and exhibits some difficulties ... 
An Analysis of Stress Wave Propagation in Slender Bars Using a Discrete Particle Approach
(University of Texas at ArlingtonDepartment of Mathematics, 198012)In this paper, a discrete particle approach is developed for the quantitative analysis of stress wave propagation in metal bars. Though linear forces are emphasized, nonlinear forces are also considered. Cylindrical, ... 
Analytical and Numerical Studies on the States of Ions and Atoms
(University of Texas at ArlingtonDepartment of Mathematics, 1985)A speculative model is described which refines and extends the method of Bohr to various atoms and ions which have four or fewer electrons. The results for ground, single, and multiple excited states are of unexpectedly ... 
Arbitrary Order, Hamiltonian Conserving Numerical Solutions of Calogero and Toda Systems
(University of Texas at ArlingtonDepartment of Mathematics, 1990)For Calogero and Toda dynamical equations two numerical methods of arbitrary high order, conserving the Hamiltonian are developed. The methods consist of modifications of conventional polynomial extrapolation with the Gragg ... 
An Arithmetic Computer Approach to Gas Dynamical Modeling
(University of Texas at ArlingtonDepartment of Mathematics, 197901)Unsteady, two dimensional internal and external flows are analyzed using an arithmetic nbody formulation. A Lagrangian approach is used to study the internal shock formation in a shock tube and the external flows over a ... 
Asymptotic Equilibrium of Ordinary Differential Systems in a Banach Space
(University of Texas at ArlingtonDepartment of Mathematics, 197403)A differential system [see pdf for notation] where [see pdf for notation] has asymptotic equilibrium if 1) for any initial condition [see pdf for notation] the system has a solution [see pdf for notation] existing on and ... 
Asymptotic Properties of a Nonlinear Diffusion Process Arising in Articular Cartilage
(University of Texas at ArlingtonDepartment of Mathematics, 197701)There has been considerable effort put forth to analyse degenerative Joint diseases in terms of the principles of mechanics and hydrodynamics [8]. This effort has led to mathematical models which are systems of nonlinear ... 
An Asymptotic Result in Forced Oscillations of PendulumType Equations
(University of Texas at ArlingtonDepartment of Mathematics, 198504)The forced pendulumtype equation is given by [see pdf for notation] where [see pdf for notation] is continuous and Tperiodic and p(t) is[see pdf for notation] periodic. When g(x) = a sin x, a > 0, we obtain the classical ... 
Attractivity AMP Hopf Bifurcation
(University of Texas at ArlingtonDepartment of Mathematics, 197802)Consider the oneparameter family of differential equations [see pdf for notation] where [see pdf for notation] and [see pdf for notation]. Here [see pdf for notation] and [see pdf for notation]. Denoting by [see pdf for ... 
An Average Per Capita Formula for the Shapely Value
(University of Texas at ArlingtonDepartment of Mathematics, 199209)A new formula for the Shapley value is given which does not require the storage of the [see pdf for notation] values of the characteristic function in the computer, and avoids the search in the memory for such data. 
Banzhaf Permission Values for Games with Permission Structure
(University of Texas at ArlingtonDepartment of Mathematics, 200005)A game with a permission structure describes a situation in which cooperation possibilities in a cooperative game with transferable utility are limited because there are players that need permission from other players ... 
Bargaining Sets with Thresholds
(University of Texas at ArlingtonDepartment of Mathematics, 198402)A concept of bargaining set for cooperative n person games with side payments has been defined by assuming that a player could be attracted in a new coalition only if his supplementary gain exceeds a fixed threshold and ... 
Bifurcation and Total Stability
(University of Texas at ArlingtonDepartment of Mathematics, 198111)In this paper we are concerned with the problem of bifurcation of invariant sets from an invariant set with respect to a family of flows. In particular, we will suppose that such flows are defined by a oneparameter family ... 
Block Diagonalization and Eigenvalues
(University of Texas at ArlingtonDepartment of Mathematics, 197503)Let A denote an Algebra with an identity element. Consider an [see pdf for notation] matrix [see pdf for notation] with a partitioning [see pdf for notation] where E and H have respective orders [see pdf for notation] and ... 
Bounded Solutions for some Gradient Type Systems
(University of Texas at ArlingtonDepartment of Mathematics, 198104)C. Corduneanu in [3,TH.1] investigated the existence of a unique bounded solution of the system [see pdf for notation] (1.1) with [see pdf for notation] continuous and of class c(2) in u. In this paper we shall prove the ... 
A Central Limit Theorem for Certain Nonlinear Statistics in Repeated Sampling of a Finite Population
(University of Texas at ArlingtonDepartment of Mathematics, 1996)We prove a central limit theorem for the asymptotic joint distribution of nonlinear statistics of the form [see pdf for notation] and linear statistics of the form [see pdf for notation], based on independent repeated ... 
A Class of Elliptic Partial Differential Equations with Exponential Nonlineraities
(University of Texas at ArlingtonDepartment of Mathematics, 1984)This is the second of a series of papers devoted to systems of ordinary and partial differential equations with exponential nonlinearities [20], in which we prove the existence of at least a countable infinity of ...