Worcester Polytechnic Institute Electronic Theses and Dissertations Collection

Title page for ETD etd-051305-162036


Document Typedissertation
Author NameSimonis, Joseph P.
URNetd-051305-162036
TitleNewton-Picard Gauss-Seidel
DegreePhD
DepartmentMathematical Sciences
Advisors
  • Homer Walker, Advisor
  • Keywords
  • Newton
  • Picard
  • periodic solutions
  • dynamical systems
  • Date of Presentation/Defense2005-05-13
    Availability unrestricted

    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.

    Files
  • simonis.pdf

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