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<図書>
Numerical methods for grid equations

責任表示 Aleksandr A. Samarskii, Evgenii S. Nikolaev ; translated from the Russian by Stephen G. Nash
データ種別 図書
出版者 Basel [Switzerland] ; Boston : Birkhäuser Verlag
出版年 1989
本文言語 英語
大きさ 2 v. ; 24 cm
概要 The authors' (both in computational math, U. of Moscow) substantially revised and augmented lecture notes of 1961-1977. The set is devoted to the solution of differential equations arising in mathemat...cal physics, and provides necessary foundations for a thorough understanding of techniques developed recently. In particular, they stress the development of numerical methods for solving the systems of linear equations that arise from finite-difference approaches to this problem. The book presents the general theory of linear difference equations and describes algorithms for solving systems with scalar and block tri- and pentadiagonal matrices. They also present the general theory of iterative methods which forms the basis for the construction and analysis of algorithms for solving general linear and nonlinear difference equations. Some of the methods considered are: the Chebyshev semi-iterative method, conjugate-direction methods, and methods based on matrix splittings such as SOR and Gauss-Seidel. The book includes many examples that apply these methods to the solution of specific equations. Translated from the Russian edition of 1978 by Stephen G. Nash. Annotation copyrighted by Book News, Inc., Portland, OR続きを見る
目次 v. 1. Direct methods

子書誌情報

1 v. 1 Direct methods / Aleksandr A. Samarskii, Evgenii S. Nikolaev ; translated from the Russian by Stephen G. Nash : Basel,: Boston. - Basel [Switzerland] ; Boston : Birkhäuser , 1989
2 v. 2 Iterative methods / Aleksandr A. Samarskii, Evgenii S. Nikolaev ; translated from the Russian by Stephen G. Nash : Basel,: Boston. - Basel [Switzerland] ; Boston : Birkhäuser , 1989

書誌詳細

別書名 原タイトル:Metody reshenii︠a︡ setochnykh uravneniĭ
一般注記 Translation of: Metody reshenii︠a︡ setochnykh uravneniĭ
Includes index
著者標目 *Samarskiĭ, A. A. (Aleksandr Andreevich)
Nikolaev, Evgenii S., 1944-
件 名 LCSH:Differential equations -- Numerical solutions  全ての件名で検索
LCSH:Mathematical physics
分 類 LCC:QC20.7.D5
DC19:515.3/5
書誌ID 1000906449
ISBN 3764322780
NCID BA05038310
巻冊次 ISBN:3764322780
ISBN:0817622780
登録日 2009.09.16
更新日 2009.09.16

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