caa a22 4500 378855786 CHVBK 20180305123334.0 cr unu---uuuuu 161128s2003 xx s 000 0 eng 10.2478/cmam-2003-0017 doi (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0017 Analysis of Immersed Interface Difference Schemes for Reaction-diffusion Problems with Singular Own Sources [Elektronische Daten] 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. 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. immersed interface method nationallicence discontinuous coefficients nationallicence singular source term nationallicence maximum principle nationallicence error analysis nationallicence Kandilarov Juri D. Department of Mathematics and Informatics, University of Rousse, Rousse, 7017, Bulgaria. Vulkov Lubin G. Department of Mathematics and Informatics, University of Rousse, Rousse, 7017, Bulgaria. Computational Methods in Applied Mathematics De Gruyter 3/2(2003), 253-273 1609-4840 3:2<253 2003 3 cmam https://doi.org/10.2478/cmam-2003-0017 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.2478/cmam-2003-0017 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kandilarov Juri D. Department of Mathematics and Informatics, University of Rousse, Rousse, 7017, Bulgaria NATIONALLICENCE 700 1- Vulkov Lubin G. Department of Mathematics and Informatics, University of Rousse, Rousse, 7017, Bulgaria NATIONALLICENCE 773 0- Computational Methods in Applied Mathematics De Gruyter 3/2(2003), 253-273 1609-4840 3:2<253 2003 3 cmam CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter