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by A Samarskii,E Nikolaev

Download Numerical Methods for Grid Equations, Volumes I and II (Set) fb2
Author: A Samarskii,E Nikolaev
ISBN: 0817622780
Language: English
Category: Mathematics
Publisher: Birkhauser (January 1, 1989)
Rating: 4.4
Formats: doc docx rtf lrf
FB2 size: 1726 kb | EPUB size: 1896 kb | DJVU size: 1832 kb
Sub: Math

Volume II Iterative Methods. Authors: Samarskij, . Iterative Methods for Solving Non-Linear Equations. Samarskii, Aleksandr A. (et a.

Volume II Iterative Methods. price for USA in USD (gross). Example Solutions of Elliptic Grid Equations. Methods for Solving Elliptic Equations in Curvilinear Orthogonal Coordinates.

For the solution of difference equations, special methods have been developed which, in one way or. .

Numerical Methods for Grid Equations. Volume I Direct Methods. Translated from the Russian by Stephen G. Nash. 1989 Birkhauser Verlag Basel· Boston· Berlin. Authors' address: Aleksandr A. Samarskii Evgenii S. Nikolaev Department of Computational Mathematics and Cybernetics Moscow University Moscow 117234 USSR. Originally published as Metody resheniya setochnykh uravnenii by Nauka, Moscow 1978. e der Deutschen Bibliothek Samarskij, Aleksandr . Numerical methods for grid equations, Aleksandr A. Samarskii ; Evgenii S. Nikolaev.

The Chebyshev two-level method. 1 Construction of the set of iterative parameters. 2 On the optimality of the a priori estimate. 3 Sample choices for the operator . 4 On the computational stability of the method.

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Part I presents three programming environments and two libraries that address the concerns of efficient execution and reduced software development times of SAMR applications.

Электронная книга "Numerical Methods for Grid Equations: Volume I Direct Methods", . Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "Numerical Methods for Grid Equations: Volume I Direct Methods" для чтения в офлайн-режиме. Aleksandr A. Samarskii. Scientific Computation. Clive A. J. Fletcher.

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The finite-difference solution of mathematical-physics differential equations is carried out in two stages: 1) the writing of the difference scheme (a differ­ ence approximation to the differential equation on a grid), 2) the computer solution of the difference equations, which are written in the form of a high­ order system of linear algebraic equations of special form (ill-conditioned, band-structured). Application of general linear algebra methods is not always appropriate for such systems because of the need to store a large volume of information, as well as because of the large amount of work required by these methods. For the solution of difference equations, special methods have been developed which, in one way or another, take into account special features of the problem, and which allow the solution to be found using less work than via the general methods. This work is an extension of the book Difference M ethod3 for the Solution of Elliptic Equation3 by A. A. Samarskii and V. B. Andreev which considered a whole set of questions connected with difference approximations, the con­ struction of difference operators, and estimation of the ~onvergence rate of difference schemes for typical elliptic boundary-value problems. Here we consider only solution methods for difference equations. The book in fact consists of two volumes.