偏微分方程的数值方法
1997-9
世界图书出版公司北京公司
J.W.Thomas
436
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest'in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in AppliedMathe- rustics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses.
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
很不错的数值方法书籍，值得收藏。
书很不错，当时感觉似乎有点年代了。
很好的书，很值得购买
这本书共有两册，写得详尽细致
书还没看，但封面与当当网提供的图片不一样。
代美国的儿子买的，应该对他的事业有所帮助！
教材是国外经典的，不错。可是这本书的第一册呢？
刚收到，书发黄，是04年印刷的，而不是所谓的05年印刷，不厚道，枉费了大家对你的信任啊
跟图片的封面不一样啊！
和描述不一致，版本不对，而且刚买就降价，不爽
该书不错，遗憾的是拿到书后发现封皮上有圆珠笔痕迹，不爽。
书是好书，描述的是05版，竟给我发的是97版