Axelsson, Owe and Karátson, János (2016) Discretization error estimates in maximum norm for convergent splittings of matrices with a monotone preconditioning part. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. ISSN 0377-0427 (In Press)
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Official URL: http://dx.doi.org/doi:10.1016/j.cam.2016.03.022
Abstract
For finite difference matrices that are monotone, a discretization error estimate in maximum norm follows from the truncation errors of the discretization. It enables also discretization error estimates for derivatives of the solution. These results are extended to convergent operator splittings of the difference matrix where the major, preconditioning part is monotone but the whole operator is not necessarily monotone.
| Item Type: | Article |
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| Uncontrolled Keywords: | ERRORS; Truncation errors; maximum norm; Matrix splittings; Discretizations; Discretization errors; Difference matrix; preconditioning; Matrix splitting; Finite difference method; Error estimates |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 18 Jul 2016 12:18 |
| Last Modified: | 18 Jul 2016 12:18 |
| URI: | http://real.mtak.hu/id/eprint/37871 |
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