Analysis of Immersed Interface Difference Schemes for Reaction-diffusion Problems with Singular Own Sources
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| 024 | 7 | 0 | |a 10.2478/cmam-2003-0017 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0017 | ||
| 245 | 0 | 0 | |a Analysis of Immersed Interface Difference Schemes for Reaction-diffusion Problems with Singular Own Sources |h [Elektronische Daten] |
| 520 | 3 | |a This paper analyzes immersed interface difference schemes for onedimensional reaction-diffusion equations with singular own linear and nonlinear sources. Error bounds in the infinity norm based on the maximum principle are derived. Sharper bounds and a more detailed structure of the error are obtained using the asymptotic error expansion analysis method. Numerical examples confirm the theoretical results. | |
| 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 immersed interface method |2 nationallicence | |
| 690 | 7 | |a discontinuous coefficients |2 nationallicence | |
| 690 | 7 | |a singular source term |2 nationallicence | |
| 690 | 7 | |a maximum principle |2 nationallicence | |
| 690 | 7 | |a error analysis |2 nationallicence | |
| 700 | 1 | |a Kandilarov |D Juri D. |u Department of Mathematics and Informatics, University of Rousse, Rousse, 7017, Bulgaria. | |
| 700 | 1 | |a Vulkov |D Lubin G. |u Department of Mathematics and Informatics, University of Rousse, Rousse, 7017, Bulgaria. | |
| 773 | 0 | |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/2(2003), 253-273 |x 1609-4840 |q 3:2<253 |1 2003 |2 3 |o cmam | |
| 856 | 4 | 0 | |u https://doi.org/10.2478/cmam-2003-0017 |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-2003-0017 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Kandilarov |D Juri D. |u Department of Mathematics and Informatics, University of Rousse, Rousse, 7017, Bulgaria | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Vulkov |D Lubin G. |u Department of Mathematics and Informatics, University of Rousse, Rousse, 7017, Bulgaria | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/2(2003), 253-273 |x 1609-4840 |q 3:2<253 |1 2003 |2 3 |o cmam | ||
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| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||