Browsing Department of Mathematics by Title
Now showing items 365-384 of 570
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On Numerical Treatment of Free Surfaces for Incompressible Fluid-Flow Problems
(University of Texas at Arlington, 1979-05)**Please note that the full text is embargoed** ABSTRACT: In this paper a detailed analysis of numerical schemes for treatment of free surfaces is presented. The kinematic free surface condition is solved by a new numerical ... -
On Optimizing the Sum of Rayleigh Quotients on the Unit Sphere
(2019-05-06)Given symmetric matrices and positive definite matrices, we are concerned with the solution of the maximization of the function that is mentioned in the dissertation. We establish necessary optimality conditions for local ... -
On Perturbing Lyapunov Functions
(University of Texas at ArlingtonDepartment of Mathematics, 1974-02)**Please note that the full text is embargoed** ABSTRACT: It is known [2,3] that in proving uniform boundedness of a differential system by means of Lyapunov functions, it is sufficient to impose conditions in the complement ... -
On Primitivity And Dimension Of Finite Semifields And Their Planes
(Mathematics, 2013-03-20)The study of semifields was originated by L.E. Dickson in 1905 and was greatly developed in the 1960s by Albert, Knuth, Walker, Kleinfeld among others. Two problems of interest in this area are the primitivity of semifields ... -
On Progenitively Koszul Commutative Rings
(Mathematics, 2008-04-22)This paper introduces and identifies classes of progenitively Koszul rings. A progenitively Koszul ring is a commutative ring that admits a Koszul complex A=K(R) that is formal, and such that the homology algebra H(A) ... -
On Solving Finitely Reflected Backward Stochastic Differential Equations
Classical theory gives a closed form representation of the density p(t,x), a solution to a linear parabolic PDE, via the Feynman-Kac Formula of the underlying diffusion process. In the non-linear PDE case there is no closed ... -
ON SOME PROBLEMS IN SPARSE HYBRID IMAGING, NON-STANDARD FINITE DIFFERENCE METHODS, AND FOKKER-PLANCK FRAMEWORKS IN ESOPHAGEAL CANCER
(2022-08-16)In this thesis, we first discuss nonlinear optimization frameworks for the sparsity- based on nonlinear reconstruction of parameters in hybrid imaging modalities such as current density impedance imaging (CDII) and two-photon ... -
On the Comparison of Estimators in a Rectangular Distribution
(University of Texas at ArlingtonDepartment of Mathematics, 1979-01)**Please note that the full text is embargoed** ABSTRACT: Given two estimators ^1 and ^2 of an unknown parameter ^, Pitman (1937) has suggested calling ^1 a "closer" estimator of ^ than is ^2 if [see pdf for notations] for ... -
On the Computation of Semivalues for TU Games
(University of Texas at ArlingtonDepartment of Mathematics, 2008-12)In an earlier paper, [Dragan,2006a] , we proved that every Least Square Value is the Shapley Value of a game obtained by rescaling from the given game. In the paper where the Least Square Values were introduced by Ruiz, ... -
On the Computation of Weighted Shapley Values for Cooperative TU Games
(University of Texas at ArlingtonDepartment of Mathematics, 2008)**Please note that the full text is embargoed** ABSTRACT: This paper is considering the problem of dividing fairly the worth of the grand coalition in a transferable utilities game, in case that the coalition is formed. ... -
On the Construction of a Norm Associated with the Measure of Noncompactness
(University of Texas at ArlingtonDepartment of Mathematics, 1976-02)**Please note that the full text is embargoed** ABSTRACT: It is shown that the bounded, nonempty subsets of a reflexive Banach space g can be imbedded in another Banach space B(E) in such a manner so that the measure of ... -
On the Convergence of Successive Approximations for Quasi-Nonexpansive Mappings Through Abstract Cones
(University of Texas at ArlingtonDepartment of Mathematics, 1975-07)**Please note that the full text is embargoed** ABSTRACT: In a recent paper, Petryshyn and Williamson [4] investigated the convergence of successive approximations of quasi- nonexpansive mappings in a Banach space. This ... -
On the Determination of Critical Values for Bartlett's Test
(University of Texas at ArlingtonDepartment of Mathematics, 1979-06)**Please note that the full text is embargoed** ABSTRACT: The exact critical values for Bartlett's test for homogeneity of variances based on equal sample sizes from several normal populations are tabulated. It is also ... -
On the Discrimination Between the Lognormal and the Weibull Distributions With Applications to Offshore Oil/Gas Lease Bids
(University of Texas at ArlingtonDepartment of Mathematics, 1980-05)**Please note that the full text is embargoed** ABSTRACT: The competitive sealed bids on an individual offshore oil and gas lease are often assumed to follow a lognormal distribution (Brown, 1969). However, under the ... -
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 ... -
On the Existence and Uniqueness of Periodic Solutions of Second Order Ordinary Differential Equations
(University of Texas at ArlingtonDepartment of Mathematics, 1979-10)**Please note that the full text is embargoed** -
On the Existence of Periodic Quasi Solutions for First Order Systems
(University of Texas at ArlingtonDepartment of Mathematics, 1982-09)**Please note that the full text is embargoed** ABSTRACT: Recently the method of upper and lower solutions and Lyapunov-Schmitt method have been fruitfully employed to prove the existence of periodic solutions for scalar ... -
On the Existence of Positive Solutions for Non-Linear Elliptic Equations
(University of Texas at ArlingtonDepartment of Mathematics, 1979-11)**Please note that the full text is embargoed** -
On the Existence of Solutions of Differential Equations and Zeros of Operators in K-Banach Spaces
(University of Texas at ArlingtonDepartment of Mathematics, 1975)**Please note that the full text is embargoed** ABSTRACT: The theory of existence of solutions of differential equations in a Banach space employing norm as a measure is sufficiently well known [5, 6, 8, 9]. Also utilizing ... -
On the Existence of Solutions of Differential Equations in a Banach Space
(University of Texas at ArlingtonDepartment of Mathematics, 1974-03)**Please note that the full text is embargoed** ABSTRACT: The study of Cauchy problem for differential equations in a Banach space has taken two different directions. One approach is to find compactness type conditions ...