Solving Non-linear Finite Difference Systems by Normalized Approximate Inverses

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Abstract

A class of inner-outer isomorphic iterative procedures in conjunction with Picard/Newton methods based on normalized explicit approximate inverse matrix techniques for solving efficiently sparse non-linear finite difference systems is presented. Applications on characteristic non-linear boundary value problems in three dimensions are discussed and numerical results are given. © Springer-Verlag 2004.

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Gravvanis, G. A., & Giannoutakis, K. M. (2004). Solving Non-linear Finite Difference Systems by Normalized Approximate Inverses. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 3314, pp. 111–117). Springer Verlag. https://doi.org/10.1007/978-3-540-30497-5_18

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