Index Catalog // ScholarsArchive@OSU

A heterogeneous flow numerical model based on domain decomposition methods

Creator:: Zhang, Yi
Abstract:: In this study, a heterogeneous flow model is proposed based on a non-overlapping domain decomposition method. The model combines potential flow and incompressible viscous flow. Both flow domains contain a free surface boundary. The heterogeneous domain decomposition method is formulated following the Dirichlet-Neumann method. Both an implicit scheme and an...
Resource Type:: Masters Thesis
Full Text:: Decomposition Methods AN ABSTRACT OF THE THESIS OF Yi Zhang for the degree of Master of Science in

Explorations of Optimization Methods for Deep Learning with Examples from Various Applications

Creator:: Zhang, Nachuan
Abstract:: This paper explores some optimization methods such as the gradient descent method, Gauss-Newton method, and stochastic gradient method. Some examples of minimizing objective functions are given to validate the theories. Then we introduce a simple example of artificial neural networks, define its structure, and apply the optimization methods to it....
Resource Type:: Capstone Project
Full Text:: 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 fu n c ti o n v a lu e (a) u(t) v(t) 0 0.5 1 1.5 2 t

Modulo m properties of the Fibonacci sequence

Creator:: Vinson, John Ellsworth
Resource Type:: Masters Thesis
Full Text:: Leonard Carlitz and Chih-yi Wang. These were obtained by personal corres- pondence and inspection

An algorithm for determining the convex hull of N points in 3-space

Creator:: Butler, Karen Jensen
Abstract:: An algorithm is described for determining the vertices and supporting planes (or lines) of the convex hull of a given set of N distinct points in 3-space. The method involves determining a finite sequence of convex hulls, each successive convex hull being a better approximation to the convex hull of...
Resource Type:: Masters Thesis
Full Text:: specifying its coordinates (xi,yi,zi), 1 i = It will be clear from the context whether we mean the i -th

Computational improvements to Benders decomposition for generalized fixed charge problems

Creator:: Battilega, John Anthony
Abstract:: A computationally efficient algorithm has been developed for determining exact or approximate solutions for large scale generalized fixed charge problems. This algorithm is based on a relaxation of the Benders decomposition procedure, combined with a linear mixed integer programming (MIP) algorithm specifically designed to solve the problem associated with Benders...
Resource Type:: Dissertation
Full Text:: the objective function of (1) with the function f(x) + d'y and assuming 0 5 yi 1 . The di were to

Pseudoparabolic Partial Differential Equations

Creator:: Showalter, R. E. and Ting, T. W.
Resource Type:: Article
Full Text:: (, + (,u o in which the a are constants. In the following we shall consider equations of the form M[+ Lu

Initial and boundary value problems via topological methods

Creator:: O'Regan, Daniel J.
Abstract:: In this thesis a relatively new topological technique, due to A. Granas, called Topological Transversality is used to obtain existence theorems for initial and boundary value problems in a variety of settings. This fixed point result is based on the notions of an essential map and on a priori bounds...
Resource Type:: Dissertation
Full Text:: , is a vector valued function of t, we set Huli0 = max sup lu.(t)I, j = I, ,n j tES 3 and if u is in

An investigation of bivariate approximations

Creator:: Bills, Gary Royce
Abstract:: The three important methods of approximation; interpolation, least- squares, and Chebyshev, are extended into bivariate approximations. A method of obtaining polynomial approximations for very general classes of bivariate samples is developed. Bivariate least - square approximations are reviewed and a method of developing bibariate orthogonal sequence is derived. A method...
Resource Type:: Masters Thesis
Full Text:: few terms must be defined. A bi- variate sample consists of the finite set {(x., yi, z.): i = 1, 2

Skew diffusion with drift : a new class of stochastic processes with applications to parabolic equations with piecewise smooth coefficients

Creator:: Arachchi Appuhamillage, Thilanka Iresh
Abstract:: This thesis consists of three subsequent parts addressing the applications of stochastic processes to the analysis and solutions of parabolic equations with discontinuous coefficients that are of mathematical interest. The first two parts consist of three manuscripts, in which we analyze solutions of Fickian convection dispersion equations with discontinuous coefficients...
Resource Type:: Dissertation
Full Text:: phenomena. All the PDE’s studied in this thesis are evolution equations of the form ∂u ∂t = Lu, t ≥ 0, u

Real algebraic geometry and the Pierce-Birkhoff conjecture

Creator:: Klute, Annette
Resource Type:: Masters Thesis

ScholarsArchive@OSU

A heterogeneous flow numerical model based on domain decomposition methods

Explorations of Optimization Methods for Deep Learning with Examples from Various Applications

Modulo m properties of the Fibonacci sequence

An algorithm for determining the convex hull of N points in 3-space

Computational improvements to Benders decomposition for generalized fixed charge problems

Pseudoparabolic Partial Differential Equations

Initial and boundary value problems via topological methods

An investigation of bivariate approximations

Skew diffusion with drift : a new class of stochastic processes with applications to parabolic equations with piecewise smooth coefficients

Real algebraic geometry and the Pierce-Birkhoff conjecture

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