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Mathematics of Computation

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Highly accurate numerical solution of casilinear elliptic boundary-value problems in $ n$ dimensions


Author: Victor Pereyra
Journal: Math. Comp. 24 (1970), 771-783
MSC: Primary 65.65
DOI: https://doi.org/10.1090/S0025-5718-1970-0288970-5
MathSciNet review: 0288970
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Abstract: The method of Iterated Deferred Corrections, whose theory was developed by the author, is applied to the problems of the title. The necessary asymptotic expansions are obtained and the way in which the corrections are produced by means of numerical differentiation is described in detail. Numerical results and comparisons with the variationalsplines methods are given.


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1970-0288970-5
Keywords: Casilinear elliptic equations, boundary-value problems, deferred corrections, finite differences, high-order discrete methods
Article copyright: © Copyright 1970 American Mathematical Society