Инд. авторы:	Paasonen V.I.
Заглавие:	Compact difference schemes for elliptic equations with mixed derivatives on arbitrary grids
Библ. ссылка:	Paasonen V.I. Compact difference schemes for elliptic equations with mixed derivatives on arbitrary grids // Russian Journal of Numerical Analysis and Mathematical Modelling. - 2002. - Vol.17. - Iss. 2. - P.205-220. - ISSN 0927-6467. - EISSN 1569-3988.
Внешние системы:	РИНЦ: 20834766; WoS: 000176865600006;
Реферат:	eng: We study difference schemes with indefinite coefficients and indefinite right-hand sides on stencils that consist of any number of arbitrarily located points. In the two-dimensional case we obtain linear systems of equations for the calculation of coefficients in ordinary (noncompact) and compact schemes and conditions on the right-hand side under which the approximation order of differential equations would be equal to a predetrmined natural number. Analogously we study the behaviour of ordinary and compact approximations of universal boundary conditions, including the conditions of the first, second, and third kinds. In the three-dimensional case we establish the number of conditions which specify coefficients and the right-hand sides of schemes. We consider particular examples of schemes in the plane and in the space.
Издано:	2002
Физ. характеристика:	с.205-220