Podrobná bibliografia
| Názov: |
Improved accuracy for the approximate factorization of parabolic equations. |
| Autori: |
Karaa, S. |
| Zdroj: |
Computing; Oct2009, Vol. 86 Issue 1, p23-36, 14p |
| Predmety: |
FACTORIZATION, PARABOLIC differential equations, EQUATIONS, STOCHASTIC convergence, MATHEMATICS |
| Abstrakt: |
A general procedure to construct alternating direction implicit (ADI) schemes for multidimensional problems was originated by Beam and Warming, using the method of approximate factorization. The technique which can be combined with a high-order linear multistep (LM) method introduces a factorization error that is of order two in the time step Δ t. Thus, the approximate factorization method imposes a second-order temporal accuracy limitation independent of the accuracy of the LM method chosen as the time differencing approximation. We introduce a correction term to the right-hand side of a factored scheme to increase the order of the factorization error in Δ t, and recover the temporal order of the original scheme. The method leads in particular to the modified ADI scheme proposed by Douglas and Kim. A convergence proof is given for the improved scheme based on the BDF2 method. [ABSTRACT FROM AUTHOR] |
|
Copyright of Computing is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| Databáza: |
Complementary Index |
Full Text Finder 
Nájsť tento článok vo Web of Science