caa a22 4500 378932535 CHVBK 20180305123633.0 cr unu---uuuuu 161128e20040601xx s 000 0 eng 10.1515/1569398041126500 doi (NATIONALLICENCE)gruyter-10.1515/1569398041126500 Volkov E. A. V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, Moscow 117966,Russia On the grid method for approximating the derivatives of the solution of the Dirichlet problem for the Laplace equation on a rectangular parallelepiped [Elektronische Daten] [E. A. Volkov] We present and justify difference schemes for obtaining the solution of the Dirichlet problem, its first derivatives and pure second derivatives on a cubic grid with uniform accuracy O (h 2), h is a grid step. We propose a method for finding a mixed derivative with accuracy O (h 2/ (ρ + h)), where ρ is the distance from a current mesh node to the boundary of a parallelepiped. Copyright 2004, Walter de Gruyter Russian Journal of Numerical Analysis and Mathematical Modelling Walter de Gruyter 19/3(2004-06-01), 269-278 0927-6467 19:3<269 2004 19 rnam https://doi.org/10.1515/1569398041126500 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/1569398041126500 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Volkov E. A. V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, Moscow 117966,Russia NATIONALLICENCE 773 0- Russian Journal of Numerical Analysis and Mathematical Modelling Walter de Gruyter 19/3(2004-06-01), 269-278 0927-6467 19:3<269 2004 19 rnam CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter