基本信息·出版社：世界图书出版公司 ·页码：361 页 ·出版日期：2008年09月 ·ISBN：750629253X/9787506292535 ·条形码：9787506292535 ·版本：第2版 ...
| 商家名称 |
信用等级 |
购买信息 |
订购本书 |
|
|
 |
有限元方法的数学理论第2版 |
 |
|
|
有限元方法的数学理论第2版 |
|
基本信息·出版社：世界图书出版公司
·页码：361 页
·出版日期：2008年09月
·ISBN：750629253X/9787506292535
·条形码：9787506292535
·版本：第2版
·装帧：平装
·开本：24
·正文语种：英语
·外文书名：The Mathematical Theory of Finite Element Methods
内容简介 有限元法被广泛用于工程设计和工程分析。《有限元方法的数学理论》是Springer出版的《应用数学教材》分成 15 章，在第1版的基础上增加了加性Schwarz预条件和自适应格；《有限元方法的数学理论》中不但提供有限元法系统的数学理论。还兼重在工程设计和分析中的应用算法效率、程序开发和较难的收敛问题。目次：基本概念；Sobolev空间；椭圆边界值问题变分公式；有限元空间结构；Sobolev空间中的多项式近似理论．n维变分问题；有限元多栅法；加性Schwarz预条件； 极大范数估计；自适应网格； 变分病态、在平面弹性力学中的应用；混合法；迭代技巧用于混合法；算子插值理论的应用。
读者对象；数学、物理和工程专业的研究生和技术人员。
目录 1. Sirovich: Introduction to Applied Mathematics.
2. Wiggins: Introduction to Applied Nonlinear Dynamical Systems and Chaos, 2nd ed.
3. Hale/Koeak: Dynamics and Bifurcations.
4. Chorin/Marsden: A Mathematical Introduction to Fluid Mechanics, 3rd ed.
5. Hubbard/West: Differential Equations: A Dynamical Systems Approach: Ordinary Differential Equations.
6. Sontag: Mathematical Control Theory: Deterministic Finite Dimensional Systems,2nd ed.
7. Perko: Differential Equations and Dynamical Systems, 3rd ed.
8. Seaborn: Hypergeometric Functions and Their Applications.
9. Pipkin: A Course on Integral Equations.
10. Hoppensteadt/Peskin: Modeling and Simulation in Medicine and the Life Sciences, 2nd ed.
11. Braun." Differential Equations and Their Applicationsl 4th ed.
12. Stoer/Bulirsch: Introduction to Numerical Analysis, 3rd ed.
13. Renardy/Rogers: An Introduction to Partial Differential Equations, 2nd ed.
14. Banks: Growth and Diffusion Phenomena: Mathematical Frameworks and Applications.
15. Brenner/Scott: The Mathematical Theory of Finite Element Methods, 2nd ed.
16. Van de Velde: Concurrent Scientific Computing.
17. Marsden/Ratiu: Introduction to Mechanics and Symmetry, 2nd ed.
18. Hubbard/West: Differential Equations: A Dynamical Systems Approach: Higher- Dimensional Systems.
19. Kaplan/Glass: Understanding Nonlinear Dynamics.
20. Holmes: Introduction to Perturbation Methods.
21. Curtain/Zwart: An Introduction to Infinite-Dimensional Linear Systems Theory.
22. Thomas: Numerical Partial Differential Equations: Finite Difference Methods.
23. Taylor: Partial Differential Equations: Basic Theory.
24. Merkin: Introduction to the Theory of Stability of Motion.
25. Naber: Topology, Geometry, and Gauge Fields: Foundations.
26. Polderman/Willems." Introduction to Mathematical Systems Theory: A Behavioral Approach.
27. Reddy: Introductory Functional Analysis with Applications to Boundary-Value Problems and Finite Elements.
28. GustafsoMWilcox: Analytical and Computational Methods of Advanced Engineering Mathematics.
29. Tveito/Winther: Introduction to Partial Differential Equations: A Computational Approach.
30. Gasquet/Witomski: Fourier Analysis and Applications: Filtering, Numerical Computation, Wavelets.
……
序言 Mathematics is playing an ever more important role in the physical andbiological sciences, provoking a blurring of boundaries between scientificdisciplines and a resurgence of interest in the modern as well as the classicaltechniques of applied mathematics. This renewal of interest, both in re-search and teaching, has led to the establishment of the series Texts inApplied Mathematics （TAM）.
The development of new courses is a natural consequence of a high levelof excitement on the research frontier as newer techniques, such as numeri-cal and symbolic computer systems, dynamical systems, and chaos, mixwith and reinforce the traditional methods of applied mathematics. Thus,the purpose of this textbook series is to meet the current and future needsof these advances and to encourage the teaching of new courses.
TAM will publish textbooks suitable for use in advanced undergraduateand beginning graduate courses, and will complement the Applied Mathe-matical Sciences （AMS） series, which will focus on advanced textbooks andresearch-level monographs.
文摘 插图：
