Document Type dissertation Author Name Simonis, Joseph P. URN etd-051305-162036 Title Newton-Picard Gauss-Seidel Degree PhD Department Mathematical Sciences Advisors Homer Walker, Advisor Keywords Newton Picard periodic solutions dynamical systems Date of Presentation/Defense 2005-05-13 Availability unrestricted
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.
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