Bourchtein, Andrei; Bourchtein, Ludmila On boundary conditions for the gravity wave equations. (English) Zbl 1291.65290 J. Comput. Appl. Math. 259, Part A, 312-326 (2014). MSC: 65M30 76B03 86A10 PDFBibTeX XMLCite \textit{A. Bourchtein} and \textit{L. Bourchtein}, J. Comput. Appl. Math. 259, Part A, 312--326 (2014; Zbl 1291.65290) Full Text: DOI
Bourchtein, Andrei; Bourchtein, Ludmila A time splitting scheme for the nonhydrostatic atmospheric model. (English) Zbl 1286.86005 Math. Comput. Modelling 57, No. 9-10, 2223-2238 (2013). MSC: 86-08 86A10 65M06 PDFBibTeX XMLCite \textit{A. Bourchtein} and \textit{L. Bourchtein}, Math. Comput. Modelling 57, No. 9--10, 2223--2238 (2013; Zbl 1286.86005) Full Text: DOI
Bourchtein, Andrei; Bourchtein, Ludmila A semi-implicit time-splitting scheme for a regional nonhydrostatic atmospheric model. (English) Zbl 1426.76456 Comput. Phys. Commun. 183, No. 3, 570-587 (2012). MSC: 76M20 76N15 76U05 86A10 PDFBibTeX XMLCite \textit{A. Bourchtein} and \textit{L. Bourchtein}, Comput. Phys. Commun. 183, No. 3, 570--587 (2012; Zbl 1426.76456) Full Text: DOI
Bourchtein, Andrei; Bourchtein, Ludmila Some properties of the vertical structure operators for hydrostatic atmospheric models. (English) Zbl 1242.86011 J. Comput. Appl. Math. 236, No. 15, 3624-3635 (2012). MSC: 86A10 PDFBibTeX XMLCite \textit{A. Bourchtein} and \textit{L. Bourchtein}, J. Comput. Appl. Math. 236, No. 15, 3624--3635 (2012; Zbl 1242.86011) Full Text: DOI
Bourchtein, Andrei; Bourchtein, Ludmila Explicit finite difference schemes with extended stability for advection equations. (English) Zbl 1245.65107 J. Comput. Appl. Math. 236, No. 15, 3591-3604 (2012). MSC: 65M06 35L40 35L60 65M12 86A10 PDFBibTeX XMLCite \textit{A. Bourchtein} and \textit{L. Bourchtein}, J. Comput. Appl. Math. 236, No. 15, 3591--3604 (2012; Zbl 1245.65107) Full Text: DOI
Bourchtein, Andrei; Bourchtein, Ludmila On ellipticity of balance equations for atmospheric dynamics. (English) Zbl 1186.86007 J. Comput. Appl. Math. 234, No. 4, 1017-1026 (2010). MSC: 86A10 35J60 PDFBibTeX XMLCite \textit{A. Bourchtein} and \textit{L. Bourchtein}, J. Comput. Appl. Math. 234, No. 4, 1017--1026 (2010; Zbl 1186.86007) Full Text: DOI
Bourchtein, Ludmila; Bourchtein, Andrei Comparison of different spatial grids for numerical schemes of geophysical fluid dynamics. (English) Zbl 1166.30004 J. Comput. Appl. Math. 227, No. 1, 161-170 (2009). Reviewer: Vladimir Mityushev (Paris) MSC: 30C20 86A30 65M50 PDFBibTeX XMLCite \textit{L. Bourchtein} and \textit{A. Bourchtein}, J. Comput. Appl. Math. 227, No. 1, 161--170 (2009; Zbl 1166.30004) Full Text: DOI
Bourchtein, Andrei; Bourchtein, Ludmila Semi-Lagrangian semi-implicit time-splitting scheme for a regional model of the atmosphere. (English) Zbl 1158.86303 J. Comput. Appl. Math. 227, No. 1, 115-125 (2009). MSC: 86A05 65M06 65M12 86A10 PDFBibTeX XMLCite \textit{A. Bourchtein} and \textit{L. Bourchtein}, J. Comput. Appl. Math. 227, No. 1, 115--125 (2009; Zbl 1158.86303) Full Text: DOI
Bourchtein, Andrei; Bourchtein, Ludmila A splitting scheme for large-scale atmosphere dynamics models. (English) Zbl 1297.86001 Gervasi, Osvaldo (ed.) et al., Computational science and its applications – ICCSA 2008. International conference, Perugia, Italy, June 30 – July 3, 2008, Proceedings, Part II. Berlin: Springer (ISBN 978-3-540-69840-1/pbk). Lecture Notes in Computer Science 5073, 627-640 (2008). MSC: 86-08 86A10 PDFBibTeX XMLCite \textit{A. Bourchtein} and \textit{L. Bourchtein}, Lect. Notes Comput. Sci. 5073, 627--640 (2008; Zbl 1297.86001) Full Text: DOI
Bourchtein, Andrei; Bourchtein, Ludmila On non-elliptic regions and solvability of balance equations for atmosphere dynamics. (English) Zbl 1198.86008 Rev. Bras. Meteorol. 22, No. 3, 329-337 (2007). MSC: 86A10 76B15 35J99 PDFBibTeX XML
Bourchtein, Andrei; Bourchtein, Ludmila Some problems of conformal mappings of spherical domains. (English) Zbl 1156.30008 Z. Angew. Math. Phys. 58, No. 6, 926-939 (2007). Reviewer: Rainer Brück (Dortmund) MSC: 30C20 65M50 86A30 PDFBibTeX XMLCite \textit{A. Bourchtein} and \textit{L. Bourchtein}, Z. Angew. Math. Phys. 58, No. 6, 926--939 (2007; Zbl 1156.30008) Full Text: DOI
Bourchtein, Andrei; Bourchtein, Ludmila; Naumov, Maxim Stability of semi-implicit atmospheric models with respect to the reference temperature profile. (English) Zbl 1137.65445 Boyanov, Todor (ed.) et al., Numerical methods and applications. 6th international conference, NMA 2006, Borovets, Bulgaria, August 20–24, 2006. Revised papers. Berlin: Springer (ISBN 978-3-540-70940-4/pbk). Lecture Notes in Computer Science 4310, 427-434 (2007). MSC: 65R20 45K05 86A10 PDFBibTeX XMLCite \textit{A. Bourchtein} et al., Lect. Notes Comput. Sci. 4310, 427--434 (2007; Zbl 1137.65445) Full Text: DOI
Bourchtein, Andrei; Bourchtein, Ludmila; Naumov, Maxim Semi-Lagrangian scale selective two-time-level scheme for hydrostatic atmospheric model. (English) Zbl 1155.86307 Alexandrov, Vassil N. (ed.) et al., Computational science – ICCS 2006. 6th international conference, Reading, UK, May 28–31, 2006. Proceedings, Part I. Berlin: Springer (ISBN 3-540-34379-2/pbk). Lecture Notes in Computer Science 3991, 258-266 (2006). MSC: 86A10 86-08 PDFBibTeX XMLCite \textit{A. Bourchtein} et al., Lect. Notes Comput. Sci. 3991, 258--266 (2006; Zbl 1155.86307) Full Text: DOI
Bourchtein, Andrei Semi-Lagrangian semi-implicit locally one-dimensional scheme for hydrostatic atmospheric model. (English) Zbl 1100.86003 Math. Comput. Simul. 73, No. 1-4, 38-51 (2006). MSC: 86A10 PDFBibTeX XMLCite \textit{A. Bourchtein}, Math. Comput. Simul. 73, No. 1--4, 38--51 (2006; Zbl 1100.86003) Full Text: DOI
Bourchtein, Andrei Some properties of the balance equations for initial data of atmospheric models. (English) Zbl 1198.86007 Far East J. Appl. Math. 22, No. 3, 285-296 (2006). MSC: 86A10 76B60 35J99 PDFBibTeX XMLCite \textit{A. Bourchtein}, Far East J. Appl. Math. 22, No. 3, 285--296 (2006; Zbl 1198.86007) Full Text: Link
Bourchtein, Ludmila; Bourchtein, Andrei One inequality for conformal mappings of spherical domains. (English) Zbl 1097.30005 Math. Inequal. Appl. 9, No. 2, 233-246 (2006). MSC: 30C20 65M50 86A10 PDFBibTeX XMLCite \textit{L. Bourchtein} and \textit{A. Bourchtein}, Math. Inequal. Appl. 9, No. 2, 233--246 (2006; Zbl 1097.30005) Full Text: DOI
Bourchtein, A. Semi-Lagrangian scale selective finite-difference scheme. (English) Zbl 1088.65575 Simos, Theodore S. (ed.) et al., ICNAAM 2005. International conference on numerical analysis and applied mathematics 2005. Official conference of the European Society of Computational Methods in Sciences and Engineering (ESCMSE), Rhodes, Greek, September 16–20, 2005. Weinheim: Wiley-VCH (ISBN 3-527-40652-2/hbk). 86-89 (2005). MSC: 65M06 76M20 86A10 35Q35 PDFBibTeX XMLCite \textit{A. Bourchtein}, in: ICNAAM 2005. International conference on numerical analysis and applied mathematics 2005. Official conference of the European Society of Computational Methods in Sciences and Engineering (ESCMSE), Rhodes, Greek, September 16--20, 2005. Weinheim: Wiley-VCH. 86--89 (2005; Zbl 1088.65575)
Bourchtein, Andrei Semi-Lagrangian semi-implicit time splitting two time level scheme for hydrostatic atmospheric model. (English) Zbl 1118.86302 Li, Zhilin (ed.) et al., Numerical analysis and its applications. Third international conference, NAA 2004, Rousse, Bulgaria, June 29 – July 3, 2004. Revised selected papers. Berlin: Springer (ISBN 3-540-24937-0/pbk). Lecture Notes in Computer Science 3401, 195-202 (2005). MSC: 86A10 PDFBibTeX XMLCite \textit{A. Bourchtein}, Lect. Notes Comput. Sci. 3401, 195--202 (2005; Zbl 1118.86302) Full Text: DOI
Bourchtein, Andrei Semi-Lagrangian implicit-explicit two-time-level scheme for numerical weather prediction. (English) Zbl 1129.86301 Sunderam, Vaidy S. (ed.) et al., Computational science – ICCS 2005. 5th international conference, Atlanta, GA, USA, May 22–25, 2005. Proceedings, Part I. Berlin: Springer (ISBN 3-540-26032-3/pbk). Lecture Notes in Computer Science 3514, 131-138 (2005). MSC: 86A10 PDFBibTeX XMLCite \textit{A. Bourchtein}, Lect. Notes Comput. Sci. 3514, 131--138 (2005; Zbl 1129.86301) Full Text: DOI
Bourchtein, Andrei; Bourchtein, Ludmila; Naumov, Maxim On correctness of the vertical discretization in numerical weather prediction models. (English) Zbl 1075.86002 Appl. Math. Comput. 158, No. 2, 513-527 (2004). Reviewer: Peter Imkeller (Berlin) MSC: 86A10 34A12 93B35 PDFBibTeX XMLCite \textit{A. Bourchtein} et al., Appl. Math. Comput. 158, No. 2, 513--527 (2004; Zbl 1075.86002) Full Text: DOI
Bourchtein, A.; Kadychnikov, V.; Bourchtein, L. Some properties of the vertical structure matrices of the atmospheric models. (English) Zbl 1107.76055 J. Comput. Appl. Math. 164-165, 131-144 (2004). MSC: 76M25 86A10 76U05 PDFBibTeX XMLCite \textit{A. Bourchtein} et al., J. Comput. Appl. Math. 164--165, 131--144 (2004; Zbl 1107.76055) Full Text: DOI
Bourchtein, Andrei; Kadychnikov, Vladimir Well posedness of the initial value problem for vertically discretized hydrostatic equations. (English) Zbl 1130.86306 SIAM J. Numer. Anal. 41, No. 1, 195-207 (2003). MSC: 86A10 86-08 65M99 15B48 PDFBibTeX XMLCite \textit{A. Bourchtein} and \textit{V. Kadychnikov}, SIAM J. Numer. Anal. 41, No. 1, 195--207 (2003; Zbl 1130.86306) Full Text: DOI
Bourchtein, A.; Naumov, M. Dependence of the stability of semi-implicit atmospheric models on reference temperature profile. (English) Zbl 1137.86305 Appl. Numer. Math. 47, No. 3-4, 325-343 (2003). MSC: 86A10 65L05 65L20 86-08 PDFBibTeX XMLCite \textit{A. Bourchtein} and \textit{M. Naumov}, Appl. Numer. Math. 47, No. 3--4, 325--343 (2003; Zbl 1137.86305) Full Text: DOI
Bourchtein, A.; Bourchtein, L.; Oliveira, E. R. General approach to conformal mappings used in atmospheric modeling. (English) Zbl 1038.86005 Appl. Numer. Math. 47, No. 3-4, 305-324 (2003). MSC: 86A10 30C20 35E05 PDFBibTeX XMLCite \textit{A. Bourchtein} et al., Appl. Numer. Math. 47, No. 3--4, 305--324 (2003; Zbl 1038.86005) Full Text: DOI
Bourchtein, Andrei Semi-Lagrangian semi-implicit fully splitted hydrostatic atmospheric model. (English) Zbl 1033.86500 Sloot, Peter M. A. (ed.) et al., Computational science – ICCS 2003. International conference, Melbourne, Australia and St. Petersburg, Russia, June 2–4, 2003. Proceedings, Part I. Berlin: Springer (ISBN 3-540-40194-6/pbk). Lect. Notes Comput. Sci. 2657, 25-34 (2003). MSC: 86A10 86-08 35J45 PDFBibTeX XMLCite \textit{A. Bourchtein}, Lect. Notes Comput. Sci. 2657, 25--34 (2003; Zbl 1033.86500) Full Text: Link
Bourchtein, Andrei Ellipticity of normal mode initialization equations. (English) Zbl 1135.86301 Appl. Math. Comput. 133, No. 1, 193-211 (2002). MSC: 86A10 35B30 35J45 PDFBibTeX XMLCite \textit{A. Bourchtein}, Appl. Math. Comput. 133, No. 1, 193--211 (2002; Zbl 1135.86301) Full Text: DOI
Bourchtein, A. Semi-Lagrangian semi-implicit space splitting regional baroclinic atmospheric model. (English) Zbl 1113.86301 Appl. Numer. Math. 40, No. 1-2, 307-326 (2002). MSC: 86A10 86-08 76M25 PDFBibTeX XMLCite \textit{A. Bourchtein}, Appl. Numer. Math. 40, No. 1--2, 307--326 (2002; Zbl 1113.86301) Full Text: DOI
Bourchtein, A.; Kadychnikov, Vladimir Choice of basic state in the semi-implicit schemes. (English) Zbl 1067.76068 Mastorakis, Nikos E. (ed.), Physics and modern topics in mechanical and electrical engineering. Athens: World Scientific Engineering Society Press (ISBN 960-8052-10-6/hbk). Mathematics and Computers in Science and Engineering. A Series of Reference Books and Textbooks, 72-77 (1999). MSC: 76M20 76U05 65M12 86A10 PDFBibTeX XMLCite \textit{A. Bourchtein} and \textit{V. Kadychnikov}, in: Physics and modern topics in mechanical and electrical engineering. Athens: World Scientific Engineering Society Press. 72--77 (1999; Zbl 1067.76068)