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On Numerical Treatment Of Free Surfaces For Incompressible Fluid-Flow Problems, Vincenzo Casulli May 1979

On Numerical Treatment Of Free Surfaces For Incompressible Fluid-Flow Problems, Vincenzo Casulli

Mathematics Technical Papers - Archive

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 scheme that, using the proper boundary conditions, conserves the total fluid volume. Some comparisons are given on a sample test problem.


Existence/Uniqueness And Validation Of Parameter Imbedding Equations For Nonlinear Fredholm Integral Equations, M. E. Lord Apr 1979

Existence/Uniqueness And Validation Of Parameter Imbedding Equations For Nonlinear Fredholm Integral Equations, M. E. Lord

Mathematics Technical Papers - Archive

A parameter imbedding method for nonlinear Fredholm integral equations produces a Cauchy system involving the solution of the integral equation and an associated resolvent kernel. For such Cauchy systems sufficient conditions are given to guarantee local existence and uniqueness of solutions. A Picard type theorem utilizing a Lipschitz condition is obtained. This result then yields the validation of the Cauchy system.


On Identifiability Of Impulse-Response In Compartmental Systems, Jerome Eisenfeld Apr 1979

On Identifiability Of Impulse-Response In Compartmental Systems, Jerome Eisenfeld

Mathematics Technical Papers - Archive

Structural identifiability in compartmental systems deals with the map from impulse-response parameters to model parameters. If the data is analyzed in terms of integral transforms sk (Fourier, moments, etc) then we may study also the map from the sk to impulse-response parameters. This paper is mainly concerned with the latter correspondence. In other words we discuss the possibility of removing (inadvertently or intentionally) decay terms in the process of forming integral transforms.


Methodology For Testing Homogeneity Of Variances, Danny D. Dyer, Jerome P. Keating Feb 1979

Methodology For Testing Homogeneity Of Variances, Danny D. Dyer, Jerome P. Keating

Mathematics Technical Papers - Archive

Suppose random samples are drawn from each of n populations with unknown means and variances. Developing procedures to test the claim that the population variances are equal (homogeneity of variances) has frequently been a goal for statisticians. One widely used technique is due to Bartlett (1937) and is based on a slight modification of the generalized Neyman-Pearson likelihood ratio test. It is well known, however, that Bartlett's test is highly sensitive to the assumption that the underlying populations are normal (Box, 1953). If nonnormality is present, the use of Bartlett's test can often lead to the rejection of the claim …


Parameter Estimation In Illness-Death Processes: Preinfaractional Angina, Jerome Eisenfeld, B. Canada Jan 1979

Parameter Estimation In Illness-Death Processes: Preinfaractional Angina, Jerome Eisenfeld, B. Canada

Mathematics Technical Papers - Archive

An illness-death process is an absorbing Markov process where the illness states from the transient states of the process. This paper deals with the estimation of illness-death parameters from survivor data. The parameters of interest include the probabilities of recovery, relapse and death and mean residence times. The estimation problem is considered from the point of view of the theory of structural identifiability in compartmental analysis. As a prototypical example, we consider published data on preinfarctional angina.


Essays On The Mexican Revolution, William H. Beezley, Friedrich Katz, Douglas W. Richmond, David C. Bailey, Lyle C. Brown Jan 1979

Essays On The Mexican Revolution, William H. Beezley, Friedrich Katz, Douglas W. Richmond, David C. Bailey, Lyle C. Brown

The Walter Prescott Webb Memorial Lectures - Archive

No abstract provided.


Saed News V1, N1, Fall 1979, School Of Architecture And Environmental Design Jan 1979

Saed News V1, N1, Fall 1979, School Of Architecture And Environmental Design

School of Architecture and Environmental Design Publications - Archive

The School of Architecture and Environmental Design publication, Fall 1979.


Projections Of The General And Elderly Population Of Texas, 1970-2000 : By Senatorial Districts, Texas Joint Committee On Long-Term Care Alternatives Jan 1979

Projections Of The General And Elderly Population Of Texas, 1970-2000 : By Senatorial Districts, Texas Joint Committee On Long-Term Care Alternatives

Documents from the State of Texas-Archive

The data presented in this publication were developed by the Joint Committee on Long-Term Care Alternatives in its study of the elderly population of Texas and the effectiveness of various services in meeting the needs of that population. Selected population figures from that study were further compiled into Senatorial and Representative districts to serve as a reference to individual legislative members when considering the problems and needs of the Texas elderly. The population figures are based on county data compiled from the 1970 census, with the projections for 1980 and 2000 taking into account such variables as mortality rates and …


Report To The 66th Legislature Of Texas, From Dolph Briscoe, Governor Of Texas, 1973-1979, Texas Governor (1973-1979 : Briscoe) Jan 1979

Report To The 66th Legislature Of Texas, From Dolph Briscoe, Governor Of Texas, 1973-1979, Texas Governor (1973-1979 : Briscoe)

Documents from the State of Texas-Archive

During my six years as Governor of Texas, I have tried to apply the philosophy of my old friend from Uvalde, the late Vice President John Nance Garner: Government should do only two things: — Safeguard the lives and property of our people. — Ensure that each of us has a chance to work out his destiny according to his talents. This has been the theme of the Briscoe Administration from its beginning on January 16, 1973. Our program has been built on these two principles. I believe we have succeeded reasonably well. The need for confining our government activities …


On The Comparison Of Estimators In A Rectangular Distribution, Danny D. Dyer Jan 1979

On The Comparison Of Estimators In A Rectangular Distribution, Danny D. Dyer

Mathematics Technical Papers - Archive

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 all values of ^. Using this "closeness" criterion, Johnson (1950) compared several well known estimators of ^ based on a random sample from the rectangular distribution [see pdf for notations], otherwise. In addition, each estimator's mean squared error was given since Pitman's criterion does not take into account the degree of closeness. Unfortunately when two such estimators of ^ are compared, one of them is often preferred under the …


An Arithmetic Computer Approach To Gas Dynamical Modeling, Donald Greenspan, Aspi Rustom Wadia Jan 1979

An Arithmetic Computer Approach To Gas Dynamical Modeling, Donald Greenspan, Aspi Rustom Wadia

Mathematics Technical Papers - Archive

Unsteady, two dimensional internal and external flows are analyzed using an arithmetic n-body formulation. A Lagrangian approach is used to study the internal shock formation in a shock tube and the external flows over a circular cyclinder, a flat plate and an airfoil. Viable physical mechanisms of the shock and boundary layer formation and of flow separation are developed. This approach results in a computer simulation of a wind tunnel in which arbitrarily shaped bodies can be studied. Extensive computer examples are described for which agreement with experimental data is good for all cases in which the damping of the …


The University Of Texas At Arlington Graduate Catalog 1979-1980, The University Of Texas At Arlington Jan 1979

The University Of Texas At Arlington Graduate Catalog 1979-1980, The University Of Texas At Arlington

UTA Graduate Catalogs

No abstract provided.


First Printings Of American Authors - Volume Four, Matthew Bruccoli, C.E. Frazer Clark Jr., Richard Layman, Franklin Benjamin Jan 1979

First Printings Of American Authors - Volume Four, Matthew Bruccoli, C.E. Frazer Clark Jr., Richard Layman, Franklin Benjamin

Covers, Titles, and Tables: The Formations of American Literary Canons in Anthologies - Archive

Contains Title Page, Table of Contents


American Literary Scholarship: An Annual 1977, James Woodress, Wendell Glick, J. Donald Crowley, Donald B. Stauffer, Hershel Parker, Willis J. Buckingham, Louis J. Budd, Robert L. Gale, George Bornstein, Panthea Reid Broughton, Jackson R. Bryer, Robert D. Arner, Thomas Wortham, David Stouck, Margaret Anne O'Connor, James H. Justus, Richard Crowder, James E. Breslin, Winifred Frazer, Charles Nilon, Michael J. Hoffman, F. Lyra, Maurice Couturier, Hans Galinsky, Rolando Anzilotti, Keiko Beppu, Rolf Lunden Jan 1979

American Literary Scholarship: An Annual 1977, James Woodress, Wendell Glick, J. Donald Crowley, Donald B. Stauffer, Hershel Parker, Willis J. Buckingham, Louis J. Budd, Robert L. Gale, George Bornstein, Panthea Reid Broughton, Jackson R. Bryer, Robert D. Arner, Thomas Wortham, David Stouck, Margaret Anne O'Connor, James H. Justus, Richard Crowder, James E. Breslin, Winifred Frazer, Charles Nilon, Michael J. Hoffman, F. Lyra, Maurice Couturier, Hans Galinsky, Rolando Anzilotti, Keiko Beppu, Rolf Lunden

Covers, Titles, and Tables: The Formations of American Literary Canons in Anthologies - Archive

Contains Title Page, Copyright Page, and Table of Contents


(Uta Yearbook 1979), The University Of Texas At Arlington Jan 1979

(Uta Yearbook 1979), The University Of Texas At Arlington

UTA Yearbooks

Archived yearbook of the University of Texas at Arlington or a preceding institution, digitized and preserved by UTA Libraries Special Collection in 2023


The Norton Anthology Of American Literature - First Edition, Volume One, Ronald Gottesman, Francis Murphy, Laurence B. Holland, Hershel Parker, David Kalstone, William H. Pritchard Jan 1979

The Norton Anthology Of American Literature - First Edition, Volume One, Ronald Gottesman, Francis Murphy, Laurence B. Holland, Hershel Parker, David Kalstone, William H. Pritchard

Covers, Titles, and Tables: The Formations of American Literary Canons in Anthologies - Archive

Contains Cover, Title Page, Table of Contents


Existence And Comparison Results For Differential Equations Of Sobolev Type, Randy Vaughn, A. S. Vatsala Dec 1978

Existence And Comparison Results For Differential Equations Of Sobolev Type, Randy Vaughn, A. S. Vatsala

Mathematics Technical Papers - Archive

Recently a new class of differential equations, called differential equations of Sobolev type was studied in [4] in which an existence theorem of Picards type was investigated as well as a variation of constants formula. In [5], existence and comparison results for a class of Volterra integral equation of Sobolev-type were discussed. In this paper we recall the Peano type existence result from [5] for Sobolev-differential equations and show that solutions can be extended to the entire square under consideration. This result extends results found in [1] for nonlinear Volterra integral equations. Our results include a comparison result in addition …


Note On Special Relativistic Calculations With Identical Laboratory And Rocket Frame Computers, Donald Greenspan Dec 1978

Note On Special Relativistic Calculations With Identical Laboratory And Rocket Frame Computers, Donald Greenspan

Mathematics Technical Papers - Archive

Dynamical relativistic problems invariably require the solution of nonlinear differential equations. These equations are rarely solvable in closed form and are now being solved numerically on modern digital computers. In this paper, a numerical method is developed which has the special property that computations on identical computers in both the laboratory and rocket frames yield numerical results which continue to be related by the Lorentz transformation.


N-Body Modeling Of Nonlinear, Free Surface Liquid Flow, Donald Greenspan Nov 1978

N-Body Modeling Of Nonlinear, Free Surface Liquid Flow, Donald Greenspan

Mathematics Technical Papers - Archive

In this paper a new, n-body approach is developed for the modeling of liquid phenomena. Both long and short range forces are included. Computer examples of several prototype, nonlinear, free surface problems are described and discussed.


Non-Splitting Unitary Perfect Polynomials Over Gf(Q)T, Mickie Sue Harbin, Jacob T. B. Beard Jr. Oct 1978

Non-Splitting Unitary Perfect Polynomials Over Gf(Q)T, Mickie Sue Harbin, Jacob T. B. Beard Jr.

Mathematics Technical Papers - Archive

It has been conjectured that there are infinitely many distinct pd-equivalence classes of non-splitting unitary perfect polynomials over GF(pd) for each prime p and each odd integer d > 1. The conjecture is proved in the affirmative in the cases i) p < 97, ii) 2 ^ GF(p) is not a square, iii) 2 ^ GF(p) is a square and all of the positive integer intervals determined by distinct odd powers of ^t contain a square, where GF*(p) = (^). In addition, it has been determined that iii) is satisfied by 314 primes p > 97.2


Mathematical Models Of Porous Flow, Donald Greenspan Oct 1978

Mathematical Models Of Porous Flow, Donald Greenspan

Mathematics Technical Papers - Archive

In this paper a new, viable mathematical approach to the analysis of porous flow is developed. Liquids and solids are modeled as sets of particles which interact in accordance with both long range (gravity) and short range (molecular type) forces. The resulting nonlinear, n-body problem is resolved numerically on a digital computer. A variety of fundamental porous flow type problems, solved on the University of Texas at Arlington IBM 370-155, are described and analyzed.


Existence And Comparison Results For A Class Of Volterra Integral Equations Of Sobolev Type, A. S. Vatsala, V. Lakshmikantham, Randy Vaughn Sep 1978

Existence And Comparison Results For A Class Of Volterra Integral Equations Of Sobolev Type, A. S. Vatsala, V. Lakshmikantham, Randy Vaughn

Mathematics Technical Papers - Archive

Recently [2] a class of new differential equations called Sobolev type differential equations was introduced and Picard type existence theorem for such equations was proved among other results like variation of constants formula and Gronwall type inequalities for such equations. However Peano's type existence result was open for such equations since it was not clear how to proceed. Special cases of such equations occur in imbedding method for solving Fredholm integral equations [5]. In this paper we consider Volterra integral equations of Sobolev type which include the foregoing class of differential equations as special cases. We consider Peano's type existence …


A Systems-Theory Approach To The Analysis Of Multiexponential Fluorescence Decay, Corey C. Ford, Jerome Eisenfeld Aug 1978

A Systems-Theory Approach To The Analysis Of Multiexponential Fluorescence Decay, Corey C. Ford, Jerome Eisenfeld

Mathematics Technical Papers - Archive

A mathematical model of the fluorescence decay experiment based on linear systems theory is presented. The model suggests an experimental technique which increases the probability of correctly determining the decay constants of a multicomponent system. Using moment methods for data analysis,accuracy is improved by combining information obtained from several discrete experiments. Examples are presented to show that the analysis of a three component system composed of known standards is improved as the number of experimental determinations is increased from 1 to 4. The discrete measurements are made by changing the excitation and emission wavelengths.


Existence And Comparison Theorems For Differential Equations In Banach Spaces, V. Lakshmikantham, K. Deimling Jul 1978

Existence And Comparison Theorems For Differential Equations In Banach Spaces, V. Lakshmikantham, K. Deimling

Mathematics Technical Papers - Archive

In our recent paper [3] we have studied the existence of maximal and minimal solutions to the IVP in a Banach space [see pdf for notation]. (1) [see pdf for notation] where [see pdf for notation] maps [see pdf for notation] into [see pdf for notation], with [see pdf for notation] and [see pdf for notation] a cone. The essential hypotheses have been that [see pdf for notation]f is quasimonotone with respect to [see pdf for notation] and that [see pdf for notation] and [see pdf for notation] have some natural properties. If such extremal solutions exist then it is …


Stochastic Differential Inequalities Of Ito Type, V. Lakshmikantham, G. S. Ladde Jun 1978

Stochastic Differential Inequalities Of Ito Type, V. Lakshmikantham, G. S. Ladde

Mathematics Technical Papers - Archive

It is well known [3] that the method of differential inequalities plays an important role in the qualitative theory of differential equations. It is therefore natural to expect that a similar theory would be equally important in the study of Stochastic differential systems of Ito type. As will be seen that this investigation is not straightforward extension of the deterministic situation and needs special techniques to be utilized. In this paper, we develop the theory of stochastic differential inequality of Ito type, consider the nonnegativity of solutions, prove existence of extremal solutions and derive a comparison result.


On Existence Of Extremal Solutions Of Differential Equations In Banach Spaces, V. Lakshmikantham, K. Deimling Jun 1978

On Existence Of Extremal Solutions Of Differential Equations In Banach Spaces, V. Lakshmikantham, K. Deimling

Mathematics Technical Papers - Archive

Let X be a real Banach space, [see pdf for notation] a cone, [see pdf for notation] and [see pdf for notation] continuous. We look for conditions on X, K and f such that the IVP (1) [see pdf for notation] has a maximal solution [see pdf for notation] and a minimal solution u with respect to the partial ordering induced by K. Contrary to known results, [5,6], we shall not assume that K has interior points, since the standard cones of many infinite dimensional spaces have empty interior. The second essential new feature is that f is supposed to …


Separation And Monotonicity Results For The Roots Of The Moment Problem, Jerome Eisenfeld, James Hallmark May 1978

Separation And Monotonicity Results For The Roots Of The Moment Problem, Jerome Eisenfeld, James Hallmark

Mathematics Technical Papers - Archive

Consider the system identification problem [see pdf for notation] [see pdf for notation] where u(t) and y(t) are given discretely on the interval [see pdf for notation] and we wish to determine information about the unknown constant matrices A, B, and C. Many techniques are available for approaching this problem. Several of these methods lead to what is known as the moment problem, [1]-[6]. This paper pertains to the moment problem which will now be introduced.


On The Relative Behavior Of Estimators Of Reliability/Survivability, Danny D. Dyer, Onas L. Hensley, Jerome P. Keating May 1978

On The Relative Behavior Of Estimators Of Reliability/Survivability, Danny D. Dyer, Onas L. Hensley, Jerome P. Keating

Mathematics Technical Papers - Archive

Based on a decomposition of mean absolute error, a twofold technique is introduced whereby a pairwise comparison of point estimators of reliability/survivability can be made. Given two such estimators, the method examines (a) the "odds" in favor of one of the estimators being closer to the true value than is the other and (b) each estimator's average closeness to the true value not only when it is closer than is the other but also when it is not. Joint consideration of these concepts is shown to form a basis for determining which of the two estimators is preferred in a …


A Technique In Stability Theory Of Delay-Differential Equations, S. Leela, V. Lakshmikantham Apr 1978

A Technique In Stability Theory Of Delay-Differential Equations, S. Leela, V. Lakshmikantham

Mathematics Technical Papers - Archive

In the study of stability theory for delay-differential equations using Lyapunov functions and the theory of differential inequalities, it becomes necessary to choose an appropriate minimal class of functions relative to which the derivative of the Lyapunov function is estimated. This approach has recently been recognized as a very natural method in the study of the qualitative behavior of delay equations.


Identification Of Linear Time-Invariant Systems, Jerome Eisenfeld Apr 1978

Identification Of Linear Time-Invariant Systems, Jerome Eisenfeld

Mathematics Technical Papers - Archive

A new method of identification for linear time-invariant systems with one input is presented. The method requires the estimation of weighted integrals over a finite time interval.