Faculty Advisor or Committee Member

Homer F. Walker, Advisor

Identifier

etd-042806-161216

Abstract

NITSOL: A Newton Iterative Solver for Nonlinear Systems describes an algorithm for solving nonlinear systems. Michael Pernice and Homer F. Walker, the authors of the paper NITSOL [3], implemented this algorithm in FORTRAN. The goal of the project has been to use the modern and robust language MATLAB to implement the NITSOL algorithm. In this paper, the main mathematical and algorithmic background for understanding NITSOL are described, and a user guide is included outlining how to use the MATLAB implementation of NITSOL. A nonlinear system example problem, the 2D Bratu problem, and the solution obtained by MATLAB NITSOL's are also included.

Publisher

Worcester Polytechnic Institute

Degree Name

MS

Department

Mathematical Sciences

Project Type

Thesis

Date Accepted

2006-04-28

Accessibility

Unrestricted

Subjects

bicgstab, cgs, gmres, NITSOL, Newtons Method, nonlinear systems, Nonlinear systems, MATLAB, Newton methods

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