Index Catalog // ScholarsArchive@OSU

Numerical integration of linear integral equations with weakly discontinuous kernels

Creator:: Jacoby, Jerome Jess
Resource Type:: Masters Thesis
Full Text:: approximating a linear Volterra integral operator cs (Kx)(s) = k(s,t)x(t)dt. An approximation, Kn, to 0 K

Rigorous computer inversion of some linear operators

Creator:: Yungen, Walter Arthur
Abstract:: In this thesis we consider computer techniques for inverting n X n matrices and linear Fredholm integral operators of the second kind. We develop techniques which allow us to prove the existence of and find approximations to inverses for the above types of operators. In addition, we are able to...
Resource Type:: Masters Thesis
Full Text:: Abstract approved Redacted for privacy ( Dr. Joel Davis) In this thesis we consider computer

Computer techniques yielding automatic and rigorous solutions to linear and nonlinear integral equations

Creator:: Winter, Lynn Taylor
Abstract:: Interval arithmetic is applied to the problem of obtaining rigorous solutions to integral equations on a computer. The integral equations considered are the linear Fredholm equation of the second kind and the nonlinear Urysohn equation. Techniques are presented which enable the computer to find an approximate solution, prove the existence...
Resource Type:: Masters Thesis
Full Text:: approved: Redacted for privacy Joel Davis Interval arithmetic is applied to the problem of obtaining

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:: APPROXIMATIONS Abstract approved: Dr. Joel Davis The three important methods of approximation; interpolation

A computer subroutine for the numerical solution of nonlinear Fredholm equations

Creator:: Tieman, Henry William
Resource Type:: Masters Thesis
Full Text:: Numerical Solution of Nonlinear Fredholm Equations Redacted for Privacy Abstract approved: Joel Davis

A block method approach to solving the Laplace equation on a parallel computer

Creator:: Hitchcock, Paula Ann
Abstract:: This paper continues exploration in the area of programming for parallel computers. The appendix to the paper contains an extensive survey of the literature related to parallel computers and parallel programming techniques. The paper itself presents a new approach to solving the Laplace equation on a. parallel computer. A new...
Resource Type:: Masters Thesis
Full Text:: : Joel Davis This paper continues exploration in the area of programming for parallel computers. The

Approximation of continuous functions by Everett Splines

Creator:: Reedy, Catherine Anne
Abstract:: The approximation of a continuous function, in the maximum norm, by continuous splines in the Everett Interpolation Form is considered. The topics of characterization, uniqueness, and calculation of best approximations are investigated. Since uniqueness fails, a new vector-valued norm, which yields uniqueness, is introduced.
Resource Type:: Masters Thesis
Full Text:: between its coefficients is determined in the following. Lemma 2. 1.1 Let Q(V) = K(V)(1 - V) [(C - D) V

A method of solving nonlinear simultaneous equations without using Jacobian

Creator:: Sen, Angelina Siu-Hung
Abstract:: In this thesis some methods for solving systems of nonlinear equations are described, which do not require calculation of the Jacobian matrix. One of these methods is programmed to solve a parametrized system with possible singularities. The efficiency of this method and a modified Newton's method are compared using experimental...
Resource Type:: Masters Thesis
Full Text:: (Name) (Degree) in MATHEMATICS presented on k 44-, (O /472 (Major) (Date) Title: A METHOD OF SOLVING

MINITRAN : an on-line function translator with capabilities for solving ordinary differential equations

Creator:: Ballance, Jeffrey David
Abstract:: A function translator is presented which was designed for interactive programs which allow functions to be defined on-line. The translator handles functions which are specified by a formula and functions which are specified as the solution to a system of differential equations.
Resource Type:: Masters Thesis
Full Text:: Abstract approved: Redacted for Privacy Joel Davis A function translator is presented which was designed

Characterization of the best approximations by classic cubic splines

Creator:: Tuen, Tuen
Abstract:: This study deals specifically with classical cubic splines. Based on a lemma of John Rice, best approximation in the uniform norm by cubic splines is explored. The purpose of this study is to characterize the best approximation to a given continuous function f(x) by a cubic spline with fixed knots...
Resource Type:: Masters Thesis
Full Text:: Classic Cubic Splines (1 n 1 r. Redacted for Privacy Abstract approved: Joel Davis This study deals

ScholarsArchive@OSU

Numerical integration of linear integral equations with weakly discontinuous kernels

Rigorous computer inversion of some linear operators

Computer techniques yielding automatic and rigorous solutions to linear and nonlinear integral equations

An investigation of bivariate approximations

A computer subroutine for the numerical solution of nonlinear Fredholm equations

A block method approach to solving the Laplace equation on a parallel computer

Approximation of continuous functions by Everett Splines

A method of solving nonlinear simultaneous equations without using Jacobian

MINITRAN : an on-line function translator with capabilities for solving ordinary differential equations

Characterization of the best approximations by classic cubic splines

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