Инд. авторы:	Korobitsyn V.A., Shokin Yu.I.
Заглавие:	Orthogonal transformations of differential-difference schemes. Introduction to discrete analysis
Библ. ссылка:	Korobitsyn V.A., Shokin Yu.I. Orthogonal transformations of differential-difference schemes. Introduction to discrete analysis // Russian Journal of Numerical Analysis and Mathematical Modelling. - 2014. - Vol.29. - Iss. 4. - P.219-230. - ISSN 0927-6467. - EISSN 1569-3988.
Внешние системы:	DOI: 10.1515/rnam-2014-0017; РИНЦ: 24004599; SCOPUS: 2-s2.0-84910140400; WoS: 000342126800002;
Реферат:	eng: Transformations of consistent discrete approximations of first derivatives in the passage from Cartesian coordinates to an orthogonal curvilinear system and transformations of discrete operations of vector analysis on skewed grids on a plane are studied in the paper. It is established that the transformation algorithm for discrete operators preserves symmetries of discrete solutions relative to coordinate curves inherent from differential system of equations. It also maintains the consistency of discrete operators, which allows us to construct completely conservative differential-difference schemes for discrete domains with curvilinear boundaries.
Ключевые слова:	basis operators; volume change law.; discrete analogue of integral relation; Compatible discrete approximations;
Издано:	2014
Физ. характеристика:	с.219-230
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