On the grid method for approximating the derivatives of the solution of the Dirichlet problem for the Laplace equation on a rectangular parallelepiped
Gespeichert in:
Verfasser / Beitragende:
[E. A. Volkov]
Ort, Verlag, Jahr:
2004
Enthalten in:
Russian Journal of Numerical Analysis and Mathematical Modelling, 19/3(2004-06-01), 269-278
Format:
Artikel (online)
Online Zugang:
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| 100 | 1 | |a Volkov |D E. A. |u V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, Moscow 117966,Russia | |
| 245 | 1 | 0 | |a On the grid method for approximating the derivatives of the solution of the Dirichlet problem for the Laplace equation on a rectangular parallelepiped |h [Elektronische Daten] |c [E. A. Volkov] |
| 520 | 3 | |a 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. | |
| 540 | |a Copyright 2004, Walter de Gruyter | ||
| 773 | 0 | |t Russian Journal of Numerical Analysis and Mathematical Modelling |d Walter de Gruyter |g 19/3(2004-06-01), 269-278 |x 0927-6467 |q 19:3<269 |1 2004 |2 19 |o rnam | |
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| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Volkov |D E. A. |u V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, Moscow 117966,Russia | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Russian Journal of Numerical Analysis and Mathematical Modelling |d Walter de Gruyter |g 19/3(2004-06-01), 269-278 |x 0927-6467 |q 19:3<269 |1 2004 |2 19 |o rnam | ||
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