Novosibirsk State University Journal of Information Technologies
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All Issues >> Contents: Volume 10, Issue No 2 (2012)

On the software technology in the geometric aspects of mathematical modeling
L. A. Golubeva, V. P. Il’in, A. N. Kozyrev

Institute of Computational Mathematics and Mathematical Geophysics of the SB RAS
UDC code: 519.632

Abstract
The article deals with the analysis of algorithmic and technological issues of geometric modeling in solving multidimensional initial-boundary problems. The paper describes the basic geometric objects of the computational domain and operations on them. The concept of basic coordinates is introduced in order to describe the cost of various geometric objects. A principle of organization of information interfaces using object-oriented programming tools and text formats, language data management XML are proposed.

Key Words
XML, basic coordinates, incidence matrix, initial-boundary problem, geometric modeling

How to cite:
Golubeva L. A., Il’in V. P., Kozyrev A. N. On the software technology in the geometric aspects of mathematical modeling // Vestnik NSU Series: Information Technologies. - 2012. - Volume 10, Issue No 2. - P. 25-33. - ISSN 1818-7900. (in Russian).

Full Text in Russian

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References
1. Preparata F., Sheimos M. Vychislitelnaya geometriya. Vvedeniye. M.: Mir, 1989.
2. Foks A., Pratt M. Vychislitelnaya geometriya. M.: Mir, 1982.
3. Shenen P., Kosner M., Gordan I. i dr. Matematika i SAPR. M.: Mir, 1988. Kn. 1: Osnovnyye metody teorii polyusov.
4. Zhermen-Lakur P., Zhorzh P., Bezye P. Matematika i SAPR. M.: Mir, 1989. Kn. 2: Vychislitelnyye metody. Geometricheskiye metody.
5. Kozlov V. I., Yudin A. N. Teoretiko-mnozhestvennoye opisaniye geometrii trekhmernykh oblastei s vnutrennei strukturoi dlya zadach avtomatizirovannogo proyektirovaniya // Avtometriya. 1999. № 2. S. 107–119.
6. Ilin V. P. Geometricheskoye i funktcionalnoye modelirovaniye v zadachakh matematicheskoi fiziki // Vychislitelnyye tekhnologii. 2001. T. 6, ch. 2. S. 315–321.
7. Il'in V. P. Geometric Problems and Algorithms in Mathematical Modeling // Proc. of the XV Int. Conf. «Graphicon-2005». Novosibirsk, 2005. R. 289–292.
8. Ushakov D. M. Vvedeniye v matematicheskiye osnovy SAPR. Novosibirsk: Ledas, 2006.
9. Levin D. Ya., Malyukh V. N., Ushakov D. M. Entciklopediya PLM. Novosibirsk: Aziya, 2008.
10. Ilin V. P. Metody konechnykh raznostei i konechnykh obyyemov dlya ellipticheskikh uravneny. Novosibirsk, 2001.
11. Ilin V. P. Metody i tekhnologii konechnykh elementov. Novosibirsk, 2007.
12. Ilin V. P. Vychislitelno-informatcionnyye tekhnologii matematicheskogo modelirovaniya // Avtometriya. 2000. № 1. S. 3–13.
13. Ilin V. P. O chislennom reshenii pryamykh i obratnykh zadach elektromagnitnoi georazvedki // Sib. zhurn. vychisl. mat. 2003. T. 6, № 4. S. 381–394.
14. Ilin V. P. Chislenny analiz. Novosibirsk, 2007. Ch. 1.
15. Taylor A. G. WIMP Interfaces Cs6751 Topic Report. Winter, 1997.
16. Khanter D., Rafter Dzh., Fausett Dzh., Vlist E. van der i dr. XML. Bazovy kurs. Kiyev: Dialektika-Vilyams, 2009.

Publication information
Main title Vestnik NSU Series: Information Technologies, Volume 10, Issue No 2 (2012).
Parallel title: Novosibirsk State University Journal of Information Technologies Volume 10, Issue No 2 (2012).

Key title: Vestnik Novosibirskogo gosudarstvennogo universiteta. Seriâ: Informacionnye tehnologii
Abbreviated key title: Vestn. Novosib. Gos. Univ., Ser.: Inf. Tehnol.
Variant title: Vestnik NGU. Seriâ: Informacionnye tehnologii

Year of Publication: 2012
ISSN: 1818-7900 (Print), ISSN 2410-0420 (Online)
Publisher: Novosibirsk State University Press
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