图书信息

作者简介

内容简介

目录

图书信息

出版社: 世界图书出版公司; 第2版 (2008年9月1日)

外文书名: The Mathematical Theory of Finite Element Methods

平装: 361页

正文语种: 英语

开本: 24

ISBN: 9787506292535

条形码: 9787506292535

尺寸: 22.2 x 14.8 x 2.2 cm

重量: 481 g

作者简介

作者：(美国)布雷 (Susanne C. Brenner)

内容简介

《有限元方法的数学理论(第2版)》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(第2版)》中不但提供有限元法系统的数学理论。有限元法被广泛用于工程设计和工程分析。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。

《有限元方法的数学理论(第2版)》适合数学、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.