Now showing items 177-196 of 349

    • N-Body Modeling of Nonlinear, Free Surface Liquid Flow 

      Greenspan, Donald (University of Texas at ArlingtonDepartment of Mathematics, 1978-11)
      **Please note that the full text is embargoed** ABSTRACT: 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 ...
    • Neural Population Modeling and Psychology: A Review 

      Levine, Daniel S. (University of Texas at ArlingtonDepartment of Mathematics, 1984)
      **Please note that the full text is embargoed** ABSTRACT: The development of neural population modeling as it relates to psychology is traced from the early 1940s to the present. The evolution of the field has been from ...
    • A New Algorithm for Unstable Three Terms Recurrence Relations 

      Sivasundaram, S.; Trigiante, D. (University of Texas at ArlingtonDepartment of Mathematics, 1985-09)
      **Please note that the full text is embargoed** ABSTRACT: A modified version of Miller's and Olver's algorithm based on the "double sweep" method is presented. It is very stable in both directions and automatically controls ...
    • A New Approach to Computer Oriented, Quasi-Quantum Mechanical Dynamics 

      Greenspan, Donald (University of Texas at ArlingtonDepartment of Mathematics, 1979-06)
      **Please note that the full text is embargoed** ABSTRACT: A new approach to atomic and molecular dynamics is developed which combines both quantum and classical concepts. Applications are made to the hydrogen atom, the ...
    • A New Approach to the Method of Nonlinear Variation of Parameters 

      Mitchell, A. Richard; Lord, M. E. (University of Texas at ArlingtonDepartment of Mathematics, 1975-01)
      **Please note that the full text is embargoed** ABSTRACT: As is well-known [3] the method of variation of parameters is a very useful tool in studying the properties of solutions of perturbed differential equations. Extending ...
    • A New Approach to the Stability Theory of Functional Differential Systems 

      Shendge, G. R. (University of Texas at ArlingtonDepartment of Mathematics, 1982-01)
      **Please note that the full text is embargoed** ABSTRACT: In the study of stability theory for delay differential equations using Lyapunov functions and the theory of differential inequalities, it becomes necessary to ...
    • A New Computer Approach to Atomic and Molecular Dynamics with Application to the Water Molecule 

      Greenspan, Donald (University of Texas at ArlingtonDepartment of Mathematics, 1981-07)
      **Please note that the full text is embargoed** ABSTRACT: A new computer oriented theory for atomic and molecular dynamics is developed. In it are incorporated modifications of classical ideas which are motivated by modern ...
    • A New Computer Approach to Atomic Electron Configuartions with Application to the Elements from Helium Through Oxygen 

      Greenspan, Donald (University of Texas at ArlingtonDepartment of Mathematics, 1979-10)
      **Please note that the full text is embargoed** ABSTRACT: In this paper a new, computer approach is developed for atomic and molecular dynamics. Though classical in nature, it includes all electron-electron interactions. ...
    • A New Computer Approach to the Modeling of Close Binary Stars 

      Greenspan, Donald (Department of MathematicsDepartment of Mathematics, 1983-01)
      **Please note that the full text is embargoed** ABSTRACT: A new, n-body approach is developed for the modeling of close binary systems, the most commonly occurring star systemsknown. Both local and long range forces are ...
    • A New Computer-Oriented Approach to Molecular Mechanics 

      Greenspan, Donald (University of Texas at ArlingtonDepartment of Mathematics, 1982-02)
      **Please note that the full text is embargoed** ABSTRACT: A new dynamical theory for atomic and molecular dynamics is formulated and discussed. The associated nonlinear differential system is derived from general atomic ...
    • A New Mathematical Approach to Biological Cell Rearrangement with Applications to the Inversion of Volvox 

      Greenspan, Donald (University of Texas at ArlingtonDepartment of Mathematics, 1980-05)
      **Please note that the full text is embargoed** ABSTRACT: This paper develops a new method for modeling cell rearrangement in both two and three dimensions. The method uses classical molecular type forces and is computer ...
    • New Mathematical Properties of the Banzhaf Value 

      Dragan, Irinel C. (University of Texas at ArlingtonDepartment of Mathematics, 1995-01)
      **Please note that the full text is embargoed** ABSTRACT: In a paper by P. Dubey and L.S. Shapley an axiomatic definition of the Banzhaf value has been extracted from an axiomatic definition of the Banzhaf power index (see ...
    • New Mathematical Properties of the Least Square Value 

      Dragan, Irinel (University of Texas at ArlingtonDepartment of Mathematics, 1996-03)
      **Please note that the full text is embargoed** ABSTRACT: The Least Square Values for cooperative TU games (briefly, LS-values) represent a family of solutions of the following family of optimization problems associated ...
    • A New Method for Approximating Quantum Dynamical Phenomena Over Short (and Sometimes Long) Time Periods 

      Greenspan, Donald (University of Texas at ArlingtonDepartment of Mathematics, 1995)
      **Please note that the full text is embargoed** ABSTRACT: Approximate electron and proton motions are simulated for short time periods for using a special case of the quantum mechanical Ehrenfest equations. Attention is ...
    • A New Model of the Molecular Bond 

      Greenspan, Donald (University of Texas at ArlingtonDepartment of Mathematics, 1991)
      **Please note that the full text is embargoed** ABSTRACT: It is assumed, on the basis of recent supercomputer calculations, that electrons attract, rather than repel. The consequences are explored by means of three dimensional, ...
    • Non-Splitting Unitary Perfect Polynomials Over GF(p), 7≤p≤19 

      Harbin, Mickie Sue (University of Texas at ArlingtonDepartment of Mathematics, 1978-04)
      **Please note that the full text is embargoed** ABSTRACT: Examples are given of non-splitting unitary perfect polynomials over [see pdf for notation] for [see pdf for notation]. These, together with previous results, ...
    • Non-Splitting Unitary Perfect Polynomials Over GF(q)t 

      Harbin, Mickie Sue; Beard, Jacob T. B., Jr. (University of Texas at ArlingtonDepartment of Mathematics, 1978-10)
      **Please note that the full text is embargoed** ABSTRACT: 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 ...
    • Nonexistence of Spatially Localized Free Vibrations for a Class of Nonlinear Wave Equations 

      Vuillermot, Pierre A. (University of Texas at ArlingtonDepartment of Mathematics, 1985)
      **Please note that the full text is embargoed** ABSTRACT: We prove the nonexistence of free vibrations of arbitrary period with polynomially decreasing profiles for a large class of nonlinear wave equations in one space ...
    • A Nonlinear Variation of Constants Method for Integro-Differential and Integral Equations 

      Lord, M. E.; Bernfeld, Stephen R. (University of Texas at ArlingtonDepartment of Mathematics, 1976-02)
      **Please note that the full text is embargoed** ABSTRACT: It is well known that a very important technique in obtaining the asymptotic behavior of solutions of linear and nonlinear ordinary differential equations ...
    • Nonuniqueness Criteria for Ordinary Differential Equations 

      Samimi, Mansour (University of Texas at ArlingtonDepartment of Mathematics, 1981-10)
      **Please note that the full text is embargoed** ABSTRACT: We consider an initial value problem (1.1) [see pdf for notation] where [see pdf for notation]. Several uniqueness results weaker than a Lipschitz condition are ...