Acceleration of the Convergence in Finite Difference Method by Predictor-Corrector and Splitting Extrapolation Methods
Year: 1987
Journal of Computational Mathematics, Vol. 5 (1987), Iss. 2 : pp. 181–190
Abstract
Two types of combination methods for accelerating the convergence of the finite difference method are presented. The first is based on an interpolation principle (correction method) and the second one on extrapolation principle. They improve the convergence form $O(h^2)$ to $O(h^4)$. The main advantage when compared with standard methods, is that the computational work can be split into independent parts, which can be carried out in parallel.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1987-JCM-9541
Journal of Computational Mathematics, Vol. 5 (1987), Iss. 2 : pp. 181–190
Published online: 1987-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10