Faculty Advisor or Committee Member

Homer Walker, Advisor

Identifier

etd-051305-162036

Abstract

Newton-Picard methods are iterative methods that work well for computing roots of nonlinear equations within a continuation framework. This project presents one of these methods and includes the results of a computation involving the Brusselator problem performed by an implementation of the method. This work was done in collaboration with Andrew Salinger at Sandia National Laboratories.

Publisher

Worcester Polytechnic Institute

Degree Name

PhD

Department

Mathematical Sciences

Project Type

Dissertation

Date Accepted

2005-05-13

Accessibility

Unrestricted

Subjects

Newton, Picard, periodic solutions, dynamical systems, Continuation methods, Differentiable dynamical systems, Newton-Picard-Gauss-Seidel

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