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Discrete Newton methods and iterated defect corrections

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In this paper we present a general theory for “discrete Newton methods”, “iterated defect corrections via neighbouring problems” and “deferred corrections” based on asymptotic expansions of the discretization error.

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Dedicated to Professor Dr. J. Weisinger on the occasion of his sixty-fifth birthday

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Böhmer, K. Discrete Newton methods and iterated defect corrections. Numer. Math. 37, 167–192 (1981). https://doi.org/10.1007/BF01398251

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