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.
Worcester Polytechnic Institute
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Simonis, J. P. (2005). Newton-Picard Gauss-Seidel. Retrieved from https://digitalcommons.wpi.edu/etd-dissertations/285
Newton, Picard, periodic solutions, dynamical systems, Continuation methods, Differentiable dynamical systems, Newton-Picard-Gauss-Seidel