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Interation Demonstrations Spreadsheet

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This workbook includes three separate demonstrations of Gauss-Seidel (Liebmann) iteration for the solution of systems of linear equations. The first one, shown in the figure, demonstrates using G-S to solve the system of linear equations arising from the finite-difference discretization of Laplace's equation in 2-D. Another shows application of the Scarborough criterion to a set of two linear equations. The third shows the application of G-S in one-dimension and highlights the difficulty of applying pointwise iterative methods to large systems. The first and third demonstrations are animated

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