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Articles 631 - 635 of 635
Full-Text Articles in Mathematics
A Study Of Methods For Estimating Parameters In Rational Polynomial Models, Thomas B. Baird
A Study Of Methods For Estimating Parameters In Rational Polynomial Models, Thomas B. Baird
Masters Theses
“The use of rational polynomials for approximating surfaces is investigated in this study. In particular, methods for estimating parameters for a rational polynomial model were investigated.
A method is presented for finding initial estimates of the parameters. Two iterative methods are discussed for improving those estimates in an attempt to minimize the sum of the squares of the residuals. These two methods are (1) Scarborough’s Method for applying the theory of least squares to nonlinear models and (2) the Method of Steepest Descent.
Data from two functions were chosen and approximated as illustrations. Each set of data was used two …
Stability Properties Of Various Predictor Corrector Methods For Solving Ordinary Differential Equations Numerically., Charles Edward. Leslie
Stability Properties Of Various Predictor Corrector Methods For Solving Ordinary Differential Equations Numerically., Charles Edward. Leslie
Masters Theses
No abstract provided.
Mathematical Techniques In The Solution Of Boundary Value Problems., Vincent Paul Pusateri
Mathematical Techniques In The Solution Of Boundary Value Problems., Vincent Paul Pusateri
Masters Theses
"This study was undertaken to present a summary of mathematical techniques as applied to the solution of boundary value problems in partial differential equations.
The techniques that were presented can be considered to be some of the most popular in applied science.
The salient features of the study are that different techniques can present different analytical expressions for a solution to the same boundary value problem, and from the viewpoint of computation and accuracy one solution may prove more desirable than the other.
The study also indicates that in boundary conditions where finite discontinuities exists, a slight perturbation to remove …
An Investigation Of Lehmer's Method For Finding The Roots Of Polynomial Equations Using The Royal-Mcbee Lgp-30, James W. Joiner
An Investigation Of Lehmer's Method For Finding The Roots Of Polynomial Equations Using The Royal-Mcbee Lgp-30, James W. Joiner
Masters Theses
“The solution of the general polynomial equation f (x) = O, where f(x) = anxn + an-1xn-1 + … + a1x = ao, has received the attention of many mathematicians for hundreds of years and is at present in a very highly developed state. Even a cursory examination of the literature will reveal many volumes on this subject. However, this study is concerned primarily with the numerical methods for solving polynomial equations, hence the classical methods will be treated here only as they contribute to this field.
Virtually all of …
The Spinning Top, Aaron Jefferson Miles
The Spinning Top, Aaron Jefferson Miles
Masters Theses
"Several mathematicians have solved the problems of motion of the top and gyroscope most completely, but none of them have considered in their solutions the effects of the supporting gimbal rings upon the motion or the effects of a variable rotor speed. It is the purpose of this paper to investigate the top equations by two well known methods; namely, by the method of Lagrange and by the method of Jacobi; considering in both the dynamics of the gimbal rings and varying rotor speed"--Introduction, page 3.