| 书目名称 | Reduced Basis Methods for Partial Differential Equations |
| 副标题 | An Introduction |
| 编辑 | Alfio Quarteroni,Andrea Manzoni,Federico Negri |
| 视频video | |
| 概述 | The first textbook on reduced basis methods, an approximation technique that has become very popular and successful in engineering and applied sciences.Offers a balanced presentation of theoretical an |
| 丛书名称 | UNITEXT |
| 图书封面 |  |
| 描述 | .This book provides a basic introduction to reduced basis (RB) methods for problems involving the repeated solution of partial differential equations (PDEs) arising from engineering and applied sciences, such as PDEs depending on several parameters and PDE-constrained optimization. .The book presents a general mathematical formulation of RB methods, analyzes their fundamental theoretical properties, discusses the related algorithmic and implementation aspects, and highlights their built-in algebraic and geometric structures. .More specifically, the authors discuss alternative strategies for constructing accurate RB spaces using greedy algorithms and proper orthogonal decomposition techniques, investigate their approximation properties and analyze offline-online decomposition strategies aimed at the reduction of computational complexity. Furthermore, they carry out both a priori and a posteriori error analysis. .The whole mathematical presentation is made more stimulating by the use of representative examples of applicative interest in the context of both linear and nonlinear PDEs. Moreover, the inclusion of many pseudocodes allows the reader to easily implement the algorithms illus |
| 出版日期 | Textbook 2016 |
| 关键词 | Computational complexity reduction; Finite element method; Parametrized differential problems; Reduced |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-15431-2 |
| isbn_softcover | 978-3-319-15430-5 |
| isbn_ebook | 978-3-319-15431-2Series ISSN 2038-5714 Series E-ISSN 2532-3318 |
| issn_series | 2038-5714 |
| copyright | Springer International Publishing Switzerland 2016 |
发表于 2025-3-21 17:03:10
