Document Type thesis Author Name Padhy, Bijaya L. Email Address bijaya23 at gmail.com URN etd-042806-161216 Title NITSOL: A Newton Iterative Solver for Nonlinear Systems A FORTRAN-to-MATLAB Implementation Degree MS Department Mathematical Sciences Advisors Homer F. Walker, Advisor Keywords bicgstab cgs gmres NITSOL Newtons Method nonlinear systems Date of Presentation/Defense 2006-04-28 Availability unrestricted
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 , 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.
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