偏微分方程的数值方法
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52.96
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65
九五品
仅1件
作者J.W.Thomas 著
出版社世界图书出版公司
ISBN9787506232999
出版时间2005-06
版次1
装帧平装
开本16开
纸张胶版纸
页数436页
定价65元
上书时间2024-08-03
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基本信息
书名:偏微分方程的数值方法
定价:65元
作者:J.W.Thomas 著
出版社:世界图书出版公司
出版日期:2005-06-01
ISBN:9787506232999
字数:
页码:436
版次:1
装帧:平装
开本:32开
商品重量:
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内容提要
目录
Series PrefacePrefaceContents of Part 2: Conservation Laws and Elliptic Equations0 Prelude1 Introduction to Finite Differences 1.1 Introduction 1.2 Getting Started 1.3 Consistency 1.4 Neumann Boundary Conditions 1.5 Some Variations 1.6 Derivation of Difference Equations2 Some Theoretical Considerations 2.1 Introduction 2.2 Convergence 2.3 Consistencey 2.4 Stability 2.5 The Lax Theorem 2.6 Computational Interlude I3 Stability 3.1 Analysis of Stability 3.2 Finite Fourier Series and Stability 3.3 Gerschgorin Circle Theorem 3.4 Computional Interlude II4 Parabolic Equations 4.1 Introduction 4.2 Two Dimensional Parabolic 4.3 Convergence, Consistency, Stability 4.4 Alternation Direction Implicit Schemes 4.5 Polar Coordinates5 Hyperbolic Equations 5.1 Introducion 5.2 Initial-Value Problems 5.3 Numerical Solution of Initial-Value Problems 5.4 Implicit Schemes 5.5 Initial-Boundary-Value Problems 5.6 Numerical Solution of Initial-Boundary-Value Problems 5.7 The Courand-Friedrichs-Lewy Condition 5.8 Two Dimensional Hyperbolic Equations 5.9 Computational Interlude III6 Systems of Partial Differential Equations 6.1 Introduction 6.2 Initial-Value Difference Schemes……7 Dispersion and DissipationReferencesIndex
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