| 书目名称 | Partial Differential Equations with Numerical Methods |
| 编辑 | Stig Larsson,Vidar Thomée |
| 视频video | |
| 概述 | Very well-written.Elementary introduction.Includes supplementary material: |
| 丛书名称 | Texts in Applied Mathematics |
| 图书封面 |  |
| 描述 | .The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering. The main theme is the integration of the theory of linear PDEs and the numerical solution of such equations. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. As preparation, the two-point boundary value problem and the initial-value problem for ODEs are discussed in separate chapters. There is also one chapter on the elliptic eigenvalue problem and eigenfunction expansion. The presentation does not presume a deep knowledge of mathematical and functional analysis. Some background on linear functional analysis and Sobolev spaces, and also on numerical linear algebra, is reviewed in two appendices.. |
| 出版日期 | Textbook 2003 |
| 关键词 | Boundary value problem; Sobolev space; elliptic equation; finite difference method; finite element metho |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-540-88706-5 |
| isbn_softcover | 978-3-540-88705-8 |
| isbn_ebook | 978-3-540-88706-5Series ISSN 0939-2475 Series E-ISSN 2196-9949 |
| issn_series | 0939-2475 |
| copyright | Springer-Verlag Berlin Heidelberg 2003 |
发表于 2025-3-21 18:39:32
