| 書目名稱 | Newton Methods for Nonlinear Problems |
| 副標(biāo)題 | Affine Invariance an |
| 編輯 | Peter Deuflhard |
| 視頻video | http://file.papertrans.cn/667/666162/666162.mp4 |
| 叢書名稱 | Springer Series in Computational Mathematics |
| 圖書封面 |  |
| 描述 | This book deals with the efficient numerical solution of challenging nonlinear problems in science and engineering, both in finite dimension (algebraic systems) and in infinite dimension (ordinary and partial differential equations). Its focus is on local and global Newton methods for direct problems or Gauss-Newton methods for inverse problems. The term ‘a(chǎn)ffine invariance‘ means that the presented algorithms and their convergence analysis are invariant under one out of four subclasses of affine transformations of the problem to be solved. Compared to traditional textbooks, the distinguishing affine invariance approach leads to shorter theorems and proofs and permits the construction of fully adaptive algorithms. Lots of numerical illustrations, comparison tables, and exercises make the text useful in computational mathematics classes. At the same time, the book opens many directions for possible future research. |
| 出版日期 | Textbook 2011 |
| 關(guān)鍵詞 | Gauss-newton methods; Newton methods; affine invariance; continuation methods; differential equations; or |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-23899-4 |
| isbn_softcover | 978-3-642-23898-7 |
| isbn_ebook | 978-3-642-23899-4Series ISSN 0179-3632 Series E-ISSN 2198-3712 |
| issn_series | 0179-3632 |
| copyright | Springer-Verlag Berlin Heidelberg 2011 |
|Archiver|手機版|小黑屋|
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