caa a22 4500 378936719 CHVBK 20180305123642.0 cr unu---uuuuu 161128s2004 xx s 000 0 eng 10.2478/cmam-2004-0027 doi (NATIONALLICENCE)gruyter-10.2478/cmam-2004-0027 Difference Schemes for Elliptic Equations with Mixed Derivatives [Elektronische Daten] In this paper, the a priori estimates of stability in the energy and the uniform norms are proved for the monotone and conservative difference schemes approximating elliptic equations with mixed derivatives. The estimates are obtained without any assumption about the symmetry of the coe±cient matrix of the initial differential equation. 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. elliptic equation nationallicence mixed derivative nationallicence difference scheme nationallicence stability nationallicence method of energy inequalities nationallicence maximum principle nationallicence Matus Piotr Department of Mathematics, Catholic University of Lublin, Al. Raclawickie 14, 20-950 Lublin, Poland. Institute of Mathematics, NAS of Belarus, 11 Surganov Str., 220072 Minsk, Belarus. Institute of Mathematics, NAS of Belarus, 11 Surganov Str., 220072 Minsk, Belarus. Rybak Irina Institute of Mathematics, NAS of Belarus, 11 Surganov Str., 220072 Minsk, Belarus. Institute of Mathematics, NAS of Belarus, 11 Surganov Str., 220072 Minsk, Belarus. Computational Methods in Applied Mathematics De Gruyter 4/4(2004), 494-505 1609-4840 4:4<494 2004 4 cmam https://doi.org/10.2478/cmam-2004-0027 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.2478/cmam-2004-0027 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Matus Piotr Department of Mathematics, Catholic University of Lublin, Al. Raclawickie 14, 20-950 Lublin, Poland. Institute of Mathematics, NAS of Belarus, 11 Surganov Str., 220072 Minsk, Belarus. Institute of Mathematics, NAS of Belarus, 11 Surganov Str., 220072 Minsk, Belarus NATIONALLICENCE 700 1- Rybak Irina Institute of Mathematics, NAS of Belarus, 11 Surganov Str., 220072 Minsk, Belarus. Institute of Mathematics, NAS of Belarus, 11 Surganov Str., 220072 Minsk, Belarus NATIONALLICENCE 773 0- Computational Methods in Applied Mathematics De Gruyter 4/4(2004), 494-505 1609-4840 4:4<494 2004 4 cmam CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter