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<図書>
The finite difference methodology

責任表示 A.A. Samarskii, P.N. Vabishchevich
シリーズ Computational heat transfer / A.A. Samarskii, P.N. Vabishchevich ; v. 2
データ種別 図書
出版情報 Chichester, UK : John Wiley , c1995
本文言語 英語
大きさ x, 421 p. ; 24 cm
概要 This book, which is published in two volumes, studies heat transfer problems by modern numerical methods. Basic mathematical models of heat transfer are considered. The main approaches, to the analysi... of the models by traditional means of applied mathematics are described. Numerical methods for the approximate solution of steady- and unsteady state heat conduction problems are discussed. Investigation of difference schemes is based on the general stability theory. Much emphasis is put on problems in which phase transitions are involved and on heat and mass transfer problems. Problems of controlling and optimizing heat processes are discussed in detail. These processes are described by partial differential equations, and the main approaches to numerical solution of the optimal control problems involved here are discussed. Aspects of numerical solution of inverse heat exchange problems are considered. Much attention is paid to the most important applied problems of identifying coefficients and boundary conditions for a heat transfer equation. The first volume considered the mathematical models of heat transfer, classic analytical solution methods for heat conduction problems, numerical methods for steady-state and transient heat conduction problems, and phase change problems. In this second volume, we present solution techniques for complicated heat transfer problems (radiation, convection, thermoelasticity, thermal process control and inverse problems) as well as some examples of solving particular heat transfer problems. 続きを見る
目次 v. 1. Mathematical modelling
v. 2. The finite difference methodology.

所蔵情報



先導研(筑) 研究室 501.26/S c1995
072232000006648

書誌詳細

一般注記 Includes bibliographical references and index
著者標目 *Samarskiĭ, A. A. (Aleksandr Andreevich)
Vabishchevich, P. N. (Petr Nikolaevich)
件 名 LCSH:Heat -- Transmission -- Mathematics  全ての件名で検索
LCSH:Finite differences
分 類 LCC:TJ260
DC20:621.402/2/0151
書誌ID 1000982559
ISBN 0471956600
NCID BA26118542
巻冊次 ISBN:0471956600
登録日 2009.09.16
更新日 2009.09.16