Index Catalog // ScholarsArchive@OSU

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

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

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:: from S is defined to be the set {y E Si l l y- x l l = p (x, S)}. Let S be a closed subset of a finite

Numerical integration of linear integral equations with weakly discontinuous kernels

Creator:: Jacoby, Jerome Jess
Resource Type:: Masters Thesis
Full Text:: convergence for Simpson's rule is improved from first to fourth order. IÌC /;( (Joel Davis) J

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

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

Automated rigorous solutions to nonlinear equations

Creator:: Cullop, Paul Wayne
Abstract:: We will consider the implementation of a computer program to solve a nonlinear algebraic system of N equations and unknowns. The program involves the use of a parameter, Newton's method, and an automatic change of parameter. Also considered are rigorous error bounds for the answer. The program was implemented and...
Resource Type:: Masters Thesis
Full Text:: approved: (:/ Joel Davis We will consider the implementation of a computer program to solve a nonlinear

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 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:: NONLINEAR SIMULTANEOUS EQUATIONS WITHOUT USING JACOAIAN Redacted for Privacy Abstract approved: Joel

De Bruijn graphs and their applications to fault tolerant networks

Creator:: Baker, Joel
Abstract:: The goal of this expository paper is to introduce De Bruijn graphs and discuss their applications to fault tolerant networks.
Resource Type:: Capstone Project
Full Text:: NETWORKS JOEL BAKER Abstract. The goal of this expository paper is to introduce De Bruijn graphs and

ScholarsArchive@OSU

Characterization of the best approximations by classic cubic splines

Rigorous computer inversion of some linear operators

Approximation of continuous functions by Everett Splines

Numerical integration of linear integral equations with weakly discontinuous kernels

A computer subroutine for the numerical solution of nonlinear Fredholm equations

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

Automated rigorous solutions to nonlinear equations

An investigation of bivariate approximations

A method of solving nonlinear simultaneous equations without using Jacobian

De Bruijn graphs and their applications to fault tolerant networks

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