| 书目名称 | Newton Methods for Nonlinear Problems | | 副标题 | Affine Invariance an | | 编辑 | Peter Deuflhard | | 视频video | | | 丛书名称 | Springer Series in Computational Mathematics | | 图书封面 |  | | 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 ‘affine 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 | | 关键词 | 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 |
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发表于 2025-3-21 17:10:11
