Resolvent Estimate in L_p for Discretisations of Second Order Ordinary Differential Operators on Variable Grids
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| 024 | 7 | 0 | |a 10.2478/cmam-2003-0016 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0016 | ||
| 100 | 1 | |a Grigorieff |D R. D. |u Technische Universität Berlin, Straße des 17. Juni 135, 10623 Berlin, Germany. | |
| 245 | 1 | 0 | |a Resolvent Estimate in L_p for Discretisations of Second Order Ordinary Differential Operators on Variable Grids |h [Elektronische Daten] |c [R. D. Grigorieff] |
| 520 | 3 | |a In this paper, a resolvent estimate is proved for discretisations of second order ordinary differential operators subject to Dirichlet boundary conditions on a finite or infinite interval. As a discretisation method, a fully discrete Galerkin method using continuous splines of order r > 2 on a locally quasi-uniform grid is considered. As a byproduct, an a priori estimate for the discretised differential operator is obtained. | |
| 540 | |a This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. | ||
| 690 | 7 | |a resolvent estimate |2 nationallicence | |
| 690 | 7 | |a maximum-norm |2 nationallicence | |
| 690 | 7 | |a finite element |2 nationallicence | |
| 690 | 7 | |a higher order splines |2 nationallicence | |
| 690 | 7 | |a fully discrete method |2 nationallicence | |
| 690 | 7 | |a locally quasi-uniform grid |2 nationallicence | |
| 773 | 0 | |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/2(2003), 235-252 |x 1609-4840 |q 3:2<235 |1 2003 |2 3 |o cmam | |
| 856 | 4 | 0 | |u https://doi.org/10.2478/cmam-2003-0016 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.2478/cmam-2003-0016 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Grigorieff |D R. D. |u Technische Universität Berlin, Straße des 17. Juni 135, 10623 Berlin, Germany | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/2(2003), 235-252 |x 1609-4840 |q 3:2<235 |1 2003 |2 3 |o cmam | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
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| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||