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
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.