Zlatev, Z. and Dimov, I. and Faragó, István and Georgiev, K. and Havasi, Ágnes (2014) Application of Richardson extrapolation for multi-dimensional advection equations. COMPUTERS AND MATHEMATICS WITH APPLICATIONS, 67 (12). pp. 2279-2293. ISSN 0898-1221
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Abstract
A Crank-Nicolson type scheme, which is of order two with respect to all independent variables, is used in the numerical solution of multi-dimensional advection equations. Normally, the order of accuracy of any numerical scheme can be increased by one when the well-known Richardson Extrapolation is used. It is proved that in this particular case the order of accuracy of the combined numerical method, the method consisting of the Crank-Nicolson scheme and the Richardson Extrapolation, is not three but four. (C) 2014 Elsevier Ltd. All rights reserved.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science / természettudomány > Q1 Science (General) / természettudomány általában Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 10 Feb 2015 11:32 |
| Last Modified: | 10 Feb 2015 11:32 |
| URI: | http://real.mtak.hu/id/eprint/21465 |
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