Browsing Department of Mathematics by Title
Now showing items 185-204 of 570
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Generalized Transversality, Exchange of Stability and Hopf Bifurcation
(University of Texas at ArlingtonDepartment of Mathematics, 1981-02)**Please note that the full text is embargoed** ABSTRACT: In Hopf bifurcation theory often an exchange of stability of an equilibrium gives rise to the creation of periodic orbits for a one parameter family of differential ... -
The Generalized Two-component Hunter-Saxton System
(Mathematics, 2013-07-22)This thesis is concerned with the generalized two-component Hunter-Saxton system. In the periodic setting, we study the wave-breaking phenomenon and global existence for the generalized two-component Hunter-Saxton system. ... -
The Generation of Turbulence in a Compressed Gas
(University of Texas at ArlingtonDepartment of Mathematics, 1997)**Please note that the full text is embargoed** ABSTRACT: A molecular mechanics type formulation is applied to generate turbulence in a compressed gas. Turbulence is defined in terms of the rapid appearance and disappearance ... -
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 = ... -
A Geometric Inequality in Pharmacokinetics
(University of Texas at ArlingtonDepartment of Mathematics, 2006-02)**Please note that the full text is embargoed** ABSTRACT: The arithmetic-geometric mean inequality is used to give a lower bound for the average concentration in a two-compartmental model in pharmacokinetics. A geometric ... -
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 ... -
Geometry of Post's Correspondence Problem
(University of Texas at ArlingtonDepartment of Mathematics, 1997)**Please note that the full text is embargoed** ABSTRACT: Orthogonality of vectors with integer coordinates in an n-dimensional Euclidean space is used to show that Post's correspondence problem is solvable for words over ... -
A Globally Convergent Numerical Method For Coefficient Inverse Problems
(Mathematics, 2009-09-16)In our terminology "globally convergent numerical method" means a numerical method, whose convergence to a good approximation for the correct solution is independent of the initial approximation. A new numerical imaging ... -
Graphical analysis of evolutionary trade-off in sylvatic Trypanosoma cruzi transmission modes
(ElsevierDepartment of Mathematics, University of Texas at Arlington, 2014-07)**Please note that the full text is embargoed** ABSTRACT: The notion of evolutionary trade-off (one attribute increasing at the expense of another) is central to the evolution of traits, well-studied especially in life-history ... -
Greedy and Optimal Paths in a Weighted Graph Without Circuits and Applications to a Class of Optimization Problems on Finite Posets
(University of Texas at ArlingtonDepartment of Mathematics, 1983-05)**Please note that the full text is embargoed** ABSTRACT: In several recent papers B. Korte and L. Lovasz considered a mathematical structure called a simple language on which a greedy algorithm can operate (see [31,J41, ... -
Haplotype-based Statistical Inference For Case-control Genetic Association Studies With Complex Sampling
(Mathematics, 2014-09-17)With the advances in human genome research, it is now believed that the risks of many complex diseases are triggered by the interplay of genetic susceptibilities and environmental exposures. The population-based case-control ... -
Heating Water Vapor in a Square Cavity Using Molecular and Particle Mechanics
(University of Texas at ArlingtonDepartment of Mathematics, 1999-02)**Please note that the full text is embargoed** ABSTRACT: This paper explores the computer simulation of heating water vapor in a square cavity. Both molecular and particle mechanics are applied. A particular parameter ... -
Heron's Problem in the Minkowski Plane
(University of Texas at ArlingtonDepartment of Mathematics, 1995)**Please note that the full text is embargoed** ABSTRACT: Heron's problem in the Euclidean plane is that of minimizing the length of a path that joins two points on one side of a line and intersects the line. A ... -
High Order Compact Scheme For Discontinuous Differential Equations
(Mathematics, 2011-07-14)A high order implicit second derivative compact method is given which is similar the Adams-Moulton method, but requiring only two steps for sixth order. This method is used in both predictor-corrector and Newton's method ... -
High Order DNS For Late Flow Transition
(Mathematics, 2012-07-25)In this report, a new high order scheme for boundary points is introduced when calculating the derivative of smooth functions by Compact Scheme. The primitive function reconstruction method of ENO schemes is applied to ... -
HIGH ORDER DNS FOR VORTEX STRUCTURE IN LATE FLOW TRANSITION
(2017-08-02)Turbulence is still a world puzzle after over one hundred years research, and the current and classical theories brim with self-contradictions. C. Liu proposed a new theory on turbulence generation and structure after 28 ... -
High Order LES For Supersonic Ramp Flow Control With MVG
(Mathematics, 2012-07-25)An implicitly implemented large eddy simulation by using the fifth order bandwidth-optimized WENO scheme is applied to make comprehensive studies on ramp flows with and without control at Mach 2.5 and Re=5760. Flow control ... -
High Order Numerical Schemes For PDEs And Applications To CFD
(Mathematics, 2014-03-12)In the past two decades, many efforts have been made in developing high-order schemes with high resolution, such as compact scheme, essentially non-oscillatory scheme (ENO), weighted essentially non-oscillatory scheme ... -
High Order Weighted Compact Boundary Condition
(Mathematics, 2008-09-17)In multi-dimension flows, we expect to have problems at the boundaries when a shock hits or reflects at the boundary wall the remedy to this would be to develop weighted boundary conditions similar to the Weighted Compact ... -
High-order Numerical Schemes For High-speed Flows
(Mathematics, 2009-09-16)A numerical scheme with high order of accuracy is necessary to resolve small length scales in flow transition and turbulence processes. However, numerical simulation for shock-boundary layer interaction, shock-acoustic ...