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Volume 5, Issue 2
Acceleration of the Convergence in Finite Difference Method by Predictor-Corrector and Splitting Extrapolation Methods

Pekka Neittaanmaki & Qun Lin

J. Comp. Math., 5 (1987), pp. 181-190.

Published online: 1987-05

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  • 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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@Article{JCM-5-181, author = {}, title = {Acceleration of the Convergence in Finite Difference Method by Predictor-Corrector and Splitting Extrapolation Methods}, journal = {Journal of Computational Mathematics}, year = {1987}, volume = {5}, number = {2}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9541.html} }
TY - JOUR T1 - Acceleration of the Convergence in Finite Difference Method by Predictor-Corrector and Splitting Extrapolation Methods JO - Journal of Computational Mathematics VL - 2 SP - 181 EP - 190 PY - 1987 DA - 1987/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9541.html KW - AB -

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.

Pekka Neittaanmaki & Qun Lin. (1970). Acceleration of the Convergence in Finite Difference Method by Predictor-Corrector and Splitting Extrapolation Methods. Journal of Computational Mathematics. 5 (2). 181-190. doi:
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