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

Pekka Neittaanmaki & Qun Lin

DOI:

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

Published online: 1987-05

Preview Full PDF 197 1775
Export citation
  • 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 splitted into independent parts, which can be carried out in parrallel.

  • Keywords

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JCM-5-181, author = {Pekka Neittaanmaki and Qun Lin}, 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 splitted into independent parts, which can be carried out in parrallel. }, 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 AU - Pekka Neittaanmaki & Qun Lin 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 splitted into independent parts, which can be carried out in parrallel.
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:
Copy to clipboard
The citation has been copied to your clipboard