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An Approximation To Miscible Fluid Flows In Porous Media With Point Sources And Sinks By An Eulerian-Lagrangian Localized Adjoint Method And Mixed Finite Element Methods, Hong Wang, Liang Dong, Richard E. Ewing, Stephen L. Lyons, Guan Qin Aug 2000

An Approximation To Miscible Fluid Flows In Porous Media With Point Sources And Sinks By An Eulerian-Lagrangian Localized Adjoint Method And Mixed Finite Element Methods, Hong Wang, Liang Dong, Richard E. Ewing, Stephen L. Lyons, Guan Qin

Faculty Publications

We develop an Eulerian–Lagrangian localized adjoint method (ELLAM)-mixed finite element method (MFEM) solution technique for accurate numerical simulation of coupled systems of partial differential equations (PDEs), which describe complex fluid flow processes in porous media. An ELLAM, which was shown previously to outperform many widely used methods in the context of linear convection-diffusion PDEs, is presented to solve the transport equation for concentration. Since accurate fluid velocities are crucial in numerical simulations, an MFEM is used to solve the pressure equation for the pressure and Darcy velocity. This minimizes the numerical difficulties occurring in standard methods for approximating velocities caused …

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Symmetrically Continuous Functions, Marcin Szyszkowski Aug 2000

Symmetrically Continuous Functions, Marcin Szyszkowski

Graduate Theses, Dissertations, and Problem Reports (ETD)

This work is devoted entirely to symmetric continuity and consists of five chapters. Chapter 1 is an introduction. Chapter 2, based on the paper [Sz2], is the main part of this work. In this chapter we generalize classic theorems on functions defined on the intervals to functions defined on arbitrary subsets of the real line. Chapter 3 deals with a weaker condition than symmetric continuity---weak symmetric continuity. It is an extended version of my paper [Sz1]. Chapter 4 is based on the paper [CSz]. Here it is shown that symmetrically continuous functions, although being "close" to continuous functions, may not …

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Coloring Clique Hypergraphs, Hoifung Poon Aug 2000

Coloring Clique Hypergraphs, Hoifung Poon

Graduate Theses, Dissertations, and Problem Reports (ETD)

Let G = (V, E) be a simple graph. The clique hypergraph of G, denoted as CH( G), has V as its set of vertices, and the maximal cliques as its hyperedges. Let Sk be a set of k colors. A map c : V Sk is a proper k-coloring for CH(G) if any maximal clique of G with at least two vertices receives at least two distinct colors. Let W ⊂ V, and let s ≥ 1. We say that G is (W, s)-extendible if any assignment on W with at most s colors can be extended to a …

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Abstracts Of Papers Presented At The Seventy-Eight Annual Meeting, Virginia Academy Of Science, May 23-26, 2000, Radford University, Radford, Va Jul 2000

Abstracts Of Papers Presented At The Seventy-Eight Annual Meeting, Virginia Academy Of Science, May 23-26, 2000, Radford University, Radford, Va

Virginia Journal of Science

This document is a list of the abstracts of papers presented at the seventy-eighth meeting of the Virginia Academy of Science that took place at Radford University on May 23 through the 26th, 2000.

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Program Quality Review - Department Of Mathematics (2000), William T. O'Malley May 2000

Program Quality Review - Department Of Mathematics (2000), William T. O'Malley

Collection Development Reports and Documents

"Program Quality Review" measuring library support for the Department of Mathematics. Tracks library expenditures on materials serving mathematics and related topics, books added and circulated by subject with peer comparisons, scholarly books published by subject, and URI Library holdings of top-ranked journals.

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Σary, Moorhead State University, Mathematics Department May 2000

Σary, Moorhead State University, Mathematics Department

Math Department Newsletters

No abstract provided.

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Vertices In Total Dominating Sets., Robert Elmer Dautermann Iii May 2000

Vertices In Total Dominating Sets., Robert Elmer Dautermann Iii

Electronic Theses and Dissertations

Fricke, Haynes, Hedetniemi, Hedetniemi, and Laskar introduced the following concept. For a graph G = (V,E), let rho denote a property of interest concerning sets of vertices. A vertex u is rho-good if u is contained in a {minimum, maximum} rho-set in G and rho-bad if u is not contained in a rho-set. Let g denote the number of rho-good vertices and b denote the number of rho-bad vertices. A graph G is called rho-excellent if every vertex in V is rho-good, rho-commendable if g > b > 0, rho-fair if g = b, and …

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Mode Vertices And Mode Graphs., Jobriath Scott Kauffman May 2000

Mode Vertices And Mode Graphs., Jobriath Scott Kauffman

Electronic Theses and Dissertations

The eccentricity of a vertex, v, of a connected graph, G, is the distance to a furthest vertex from v. A mode vertex of a connected graph, G, is a vertex whose eccentricity occurs as often in the eccentricity sequence of G as the eccentricity of any other vertex. The mode of a graph, G, is the subgraph induced by the mode vertices of G. A mode graph is a connected graph for which each vertex is a mode vertex. Note that mode graphs are a generalization of self-centered graphs. This paper presents some …

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An Optimal-Order Error Estimate For An Ellam Scheme For Two-Dimensional Linear Advection-Diffusion Equations, Hong Wang Apr 2000

An Optimal-Order Error Estimate For An Ellam Scheme For Two-Dimensional Linear Advection-Diffusion Equations, Hong Wang

Faculty Publications

An Eulerian-Lagrangian localized adjoint method (ELLAM) is presented and an- alyzed for two-dimensional linear advection-diffusion partial differential equations (PDEs). An optimal-order error estimate in the L^2 norm and a superconvergence estimate in a discrete H^1 norm are derived. Numerical experiments are performed to verify the theoretical estimates.

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Feature Evaluation, Classification And Rule Generation Using Fuzzy Sets And Neural Networks., Rajat Kumar De Dr. Mar 2000

Feature Evaluation, Classification And Rule Generation Using Fuzzy Sets And Neural Networks., Rajat Kumar De Dr.

Doctoral Theses

Pattern recognition and machine learning form a major area of research and develop- ment activity that encompasses the processing of pictorial and other non-numerical information obtained from the interaction between science, technology and society. A motivation for the spurt of activity in this field is the need for people to com- municate with the computing machines in their natural mode of communication. Another important motivation is that the scientists are also concerned with the idea of designing and making intelligent machines that can carry out certain tasks that we human beings do. The most salient outcome of these is the …

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On Fractal Based Representation Of Image With Application To Image Processing., Suman Kumar Mitra Dr. Feb 2000

On Fractal Based Representation Of Image With Application To Image Processing., Suman Kumar Mitra Dr.

Doctoral Theses

The language of an image is universal. Images were the means of communicating infor- mation in ancient days. Even today, although people from different parts of the world speak in different languages, an image conveys almost the same universal meaning to all. With the rapid development of modern computer technologies and with the increasing attempt in getting information at ones finger tips, the importance of communication of information using images can not be ignored.Images are stored in computers in the form of a collection of bits representing pixels (picture elements). Pictures are to be digitized to store them in computers. …

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Similarity Based Approximate Reasoning., Swapan Raha Dr. Feb 2000

Similarity Based Approximate Reasoning., Swapan Raha Dr.

Doctoral Theses

Many years of research in Artificial Intelligence, Cognitive Science and allied area reveal that the cognitive process of human reasoning deals with imprecise premises. As cognitive process of human reasoning is mainly concerned with the individual's perception, it is liable to be imprecise in nature. Precise traditional two-valued logic and/or multi-valued logics are not effective in handling such reasoning processes. This motivated Zadeh (109) to investigate how these impreciseness in human rea- soning could be modeled through some computable entities. In this regard, Zadeh has shown how such imprecise linguistic terms could be expressed through fuzzy sets over universes of …

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Some Contribution To Reliability Analysis Of A Consecutive-K-Out-Of N: F System., Mohammad Khanjari Sadegh Dr. Feb 2000

Some Contribution To Reliability Analysis Of A Consecutive-K-Out-Of N: F System., Mohammad Khanjari Sadegh Dr.

Doctoral Theses

Present day technology has been characterized by development of complex systems or equipments containing a large number of subaystems and com- ponents. Reliability, as a buman attribute, has been praised for a very long time. For technical systems, however, the reliability concept has not been applied for more than about 50 years. Reliability is the concern of all scien- tists and engineers engaged in developing a system, from design, through the manufacturing, to its ultimate use. Reliability technology has a potentially wide range of application areas like safety or risk analysis, environmental protection, quality, optimization, maintenance, engineering design, etc.For a …

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Quantum Stochastic Dilation Of Completely Positive Semigroups And Flows., Debashish Goswami Dr. Feb 2000

Quantum Stochastic Dilation Of Completely Positive Semigroups And Flows., Debashish Goswami Dr.

Doctoral Theses

The central theme of the present thesia is quantum stochastic dilation af semigroupe of completely panitive mapa on operator algebran. It is the sim of all mathemati- cal, or even all scientific theorics, to understand a given class of objects through a tanonical and simpler subclass of it. For example, abstract C"-algebras are studied through their conerete realisation as elgebra of operators, contractions on a Hilbert space by unitaries. Hilbert modules by the factorissble ones, to mention anly a few. In most af these caes, a general object of the relavant class is sociated with a canonical candidate of the …

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Studies On Finite Linear Cellular Automata., Palash Sarkar Dr. Feb 2000

Studies On Finite Linear Cellular Automata., Palash Sarkar Dr.

Doctoral Theses

Cellular Automata were originally proposed by John von Neumann as formal models of self reproducing organisms. The structure studied was mostly an ane and two dimensional infinite grida, though higher dimensions were also considered. Computation universality and other computation theoretic questions were considered important. See Burks [24] for a collection of essays on important problems on cellular automata during this period. Later physicists and biologists began to study cellular automsta for the purpose of modelling in their respective domains. In the present era, cellalar automata is being atudied from many widely different angles, and the relationship of these structurea to …

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Uncertainity Principles On Some Lie Groups., Swagato Kumar Ray Dr. Feb 2000

Uncertainity Principles On Some Lie Groups., Swagato Kumar Ray Dr.

Doctoral Theses

The uncertainty principles of Harmonic Analysis say that: a nonzero func- tion and its Fourier transform cannot both be sharply concen- trated. After the initial work on this phenomenon in 1920s, the last two decades witnessed a spurt of activity in this direction (we refer the reader to a very readable survey [FS]). One may notice two broad phases in this activity, the first concentrating on R where the notion of concentration is given different formulations to see whether the phenomenon still holds. In the later phase R is replaced by other commutative or noncommutative groups, or more generally by …

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Generalised Bootstrap Techniques., Singdhansu Bhusan Chatterjee Dr. Feb 2000

Generalised Bootstrap Techniques., Singdhansu Bhusan Chatterjee Dr.

Doctoral Theses

A typical problem in statistics is as follows: there is some observable data Xn = (X1,..., Xn), and a parameter of interest θ which is related in such a way to the distribution of Xn that meaningful conclusions about θ can be drawn based on Xn. Sometimes data Xn is observed keeping the objective parameter θ in mind, at other times the parameter appears while trying to model the observed data.Once the data is observed and the parameter fixed, the questions that have to be addressed are as follows:(I) How to estimate θ from the data Xn?(II) Given an estimator …

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Perturbed Laplacian Matrix And The Structure Of A Graph., Sukanta Pati Dr. Jan 2000

Perturbed Laplacian Matrix And The Structure Of A Graph., Sukanta Pati Dr.

Doctoral Theses

Laplacian matrices Let G be a connected simple graph with vertex set V = {1,2,.,n), edge set E and let each edge be associated with a positive number, the weight of the edge. The above graph is called a weighted graph. An unweighted graph is just a weighted graph with each of the edges bearing weight 1. All the graphs considered are weighted and simple, unless specified otherwise; all the matrices considered are real. The adjacency matrix A(G) related to this graph is defined as A(G) = (aij), whereaij, if (i, j] € E and the weight of the edge …

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[Accepted Version] Empowering Families In Hands‐On Science Programs, James Shymansky, Larry Yore, Brian Hand Jan 2000

[Accepted Version] Empowering Families In Hands‐On Science Programs, James Shymansky, Larry Yore, Brian Hand

Educator Preparation & Leadership Faculty Works

This paper presents the results of the Science Parent, Activities, and Literature (Science PALs) project. This project aims to promote parent involvement in children's hands-on science education by using take-home, literature-based inquiry, problem solving, and design activities that connect school and home. Parents are the most effective source of positive or negative attitude influences toward science and mathematics. The lack of science in home environments depends largely upon parents' fear or lack of success in science. The Science PALs project uses parents as a key instructional factor and involves them in their children's education. Teachers help parents in this involvement …

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Integrating Science, Mathematics And Technology In Middle School Technology-Rich Environments: A Study Of Implementation And Change, Robert K. James, Charles E. Lamb, Dan L. Householder, Melynda A. Bailey Jan 2000

Integrating Science, Mathematics And Technology In Middle School Technology-Rich Environments: A Study Of Implementation And Change, Robert K. James, Charles E. Lamb, Dan L. Householder, Melynda A. Bailey

Engineering Education Faculty Publications

The GTECH project, funded through a grant from the GTE Foundation, prepared school teams of science, mathematics and technology teachers and an administrator to set goals for their local schools regarding implementation of electronic technology and integration of content across curricular areas. A variety of teacher-centered staff development strategies were used to enable participants to achieve local school objectives, model and encourage active learning environments involving technology, develop integrated curriculum and provide training to their peers. GTECH staff provided workshops and summer institutes based on teacher feedback and classroom observations. Data from the Stages of Concerns Questionnaire assisted the staff …

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Classically Unstable Approximations For Linear Evolution Equations And Applications., Yu Zhuang Jan 2000

Classically Unstable Approximations For Linear Evolution Equations And Applications., Yu Zhuang

LSU Historical Dissertations and Theses

Temporal discretization methods for evolutionary differential equations that factorize the resolvent into a product of easily computable operators have great numerical appeal. For instance, the alternating direction implicit (ADI) method of Peaceman-Rachford for 2-D parabolic problems greatly reduces the simulation time when compared with the Crank-Nicolson scheme. However, just like many other factorized approximation methods that exhibit numerical stability, the ADI method is known to satisfy only the Von Neumann stability condition, a necessary condition that is usually surmised as sufficient in practical cases as pointed out by Lax and Richtmyer. Intensive efforts have been directed to understand the Von …

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Teaching Mathematics With Technology: Reflecting On Our Progress And Looking Ahead, Patricia S. Moyer-Packenham Jan 2000

Teaching Mathematics With Technology: Reflecting On Our Progress And Looking Ahead, Patricia S. Moyer-Packenham

Teacher Education and Leadership Faculty Publications

No abstract provided.

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A Canonical Description Of The Plancherel Measure For A General Two-Step Free Nilpotent Lie Group., Chin-Te Chu Jan 2000

A Canonical Description Of The Plancherel Measure For A General Two-Step Free Nilpotent Lie Group., Chin-Te Chu

LSU Historical Dissertations and Theses

In this work on g=Fn,2 , free 2-step nilpotent Lie algebra on n generators, we use the group of automorphisms to give a basis-free description of the Fourier Inversion Formula, thereby generalizing and strengthening an example discussed by Corwin & Greenleaf. In the Introduction we discuss Example 4.3.14 in Corwin & Greenleaf's book. It demonstrates how different bases of F3,2 lead to different inversion formulas. But the third "more" invariant formula describes Plancherel measure on a support expressed in terms of rotations, dilations, and translations. Actually it is not canonical since it still depends on choices of bases for F3,2 …

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On Stochastic Integration For White Noise Distribution Theory., Said Kalema Ngobi Jan 2000

On Stochastic Integration For White Noise Distribution Theory., Said Kalema Ngobi

LSU Historical Dissertations and Theses

This thesis consists of two parts, each part concentrating on a different problem from the theory of Stochastic Integration. Chapter 1 contains the introduction explaining the results in this dissertation in general terms. We use the infinite dimensional space S'R endowed with the gaussian measure mu. The Hilbert space ( L2) is defined as (L2) (L2) ≡ L2( S'R , mu) and our results are based on the Gel'fand triple ( S )beta ⊂ (L2) ⊂ S* b . The necessary preliminary background in white noise analysis are well elaborated in Chapter 2. In Chapter 3 we present a generalization …

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Algebra În Exercijii Şi Probleme Pentru Liceu, Florentin Smarandache, Ion Goian, Raisa Grigor, Vasila Marin Jan 2000

Algebra În Exercijii Şi Probleme Pentru Liceu, Florentin Smarandache, Ion Goian, Raisa Grigor, Vasila Marin

Branch Mathematics and Statistics Faculty and Staff Publications

No abstract provided.

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Educational Math Games For First Grade, Shelly Christine Harberts Jan 2000

Educational Math Games For First Grade, Shelly Christine Harberts

All Graduate Projects

The purpose of the project is to create appropriate educational math games for first grade. Thirty-six new games were generated to replace the math games used in the Everyday Math curriculum used in my classroom. The games were taught to twenty first graders. The results showed that using mathematical games relating to the concepts being taught, helped students better understand and master the concepts.

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Mathematics Discipline Unit Mission 2000, Assessment Of Student Learning Committee Jan 2000

Mathematics Discipline Unit Mission 2000, Assessment Of Student Learning Committee

Assessment of Student Learning Reports

No abstract provided.

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A Qualitative Evaluation Of Teaming, Problem -Solving, And Technology -Utilization Skills Of Students In The Integrated First-Year Curriculum In Science, Engineering, And Mathematics, Jean Kathryn Sando Jan 2000

A Qualitative Evaluation Of Teaming, Problem -Solving, And Technology -Utilization Skills Of Students In The Integrated First-Year Curriculum In Science, Engineering, And Mathematics, Jean Kathryn Sando

All-Inclusive List of Electronic Theses and Dissertations

In 1993, Rose-Hulman Institute of Technology became a member of the Foundation Coalition, one of six EngineeringEducation Coalitions sponsored by grants from the National Science Foundation. Experimental curricula were created, including the Integrated First Year Curriculum in Science, Engineering, and Mathematics (IFYCSEM) and the Sophomore Engineering Program (SEC). In this study, students who completed one or more of the Foundation Coalition curricula were placed in four-member teams and comparatively evaluated using qualitative research techniques for their abilities to work in teams, to solve complex, open-ended problems and to utilize technology. This study evaluated the outcomes for the students at Rose-Hulman …

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Developing Students' Understanding Of Similar Figures: A Perceptual Approach., Danny Ray Mcnabb Jan 2000

Developing Students' Understanding Of Similar Figures: A Perceptual Approach., Danny Ray Mcnabb

LSU Historical Dissertations and Theses

Children encounter and recognize similar figures in their everyday experiences with such things as basketballs, soccer balls, tennis balls, ping-pong balls; or a candy bar that comes in various sizes of the same shape. Yet their school experience with the mathematics of similarity generally does not build on these perceptual intuitions. Traditional mathematics curricula bypass students' visual intuitions and their quantitative understandings, proceeding directly to set piece problems solved by formal algebraic methods. The result for many students is that the topic of similarity contributes to their evolving view of mathematics as a domain of complex procedural methods divorced from …

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Sociomathematical Norms Of Elementary School Classrooms: Crossnational Perspectives On The *Reform Of Mathematics Teaching., Jeongsuk Pang Jan 2000

Sociomathematical Norms Of Elementary School Classrooms: Crossnational Perspectives On The *Reform Of Mathematics Teaching., Jeongsuk Pang

LSU Historical Dissertations and Theses

Mathematics education reform in the United States has marshaled large-scale support for instructional innovation, and enlisted the participation and allegiance of large numbers of mathematics teachers. However, there is concern that many teachers have not grasped the full implications of the reform ideals. This study explored the breakdown that may occur between teachers' adoption of reform objectives and their successful incorporation of reform ideals by comparing and contrasting two reform-oriented classrooms. This study was an exploratory, qualitative, comparative case study using constant comparative analysis. Seven mathematics lessons were video-taped from each class, and intensive interviews conducted with the two teachers. …

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