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Remarks on the iterative solution of the Neumann problem on a rectangle by successive line over-relaxation


Author: Fred W. Dorr
Journal: Math. Comp. 23 (1969), 177-179
MSC: Primary 65.66
DOI: https://doi.org/10.1090/S0025-5718-1969-0239771-7
MathSciNet review: 0239771
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Abstract: Successive line over-relaxation can be used to solve the equations for certain finite-difference analogs of the Neumann problem for Poisson's equation on a rectangle. In this note, asymptotic estimates for the choice of relaxation parameter and rate of convergence of this method are collected. These results are then applied to some recent computational experiments carried out by John Gary.


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DOI: https://doi.org/10.1090/S0025-5718-1969-0239771-7
Article copyright: © Copyright 1969 American Mathematical Society