| 书目名称 | The Proper Generalized Decomposition for Advanced Numerical Simulations |
| 副标题 | A Primer |
| 编辑 | Francisco Chinesta,Roland Keunings,Adrien Leygue |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | SpringerBriefs in Applied Sciences and Technology |
| 图书封面 |  |
| 描述 | .Many problems in scientific computing are intractable with classical numerical techniques. These fail, for example, in the solution of high-dimensional models due to the exponential increase of the number of degrees of freedom..Recently, the authors of this book and their collaborators have developed a novel technique, called Proper Generalized Decomposition (PGD) that has proven to be a significant step forward. The PGD builds by means of a successive enrichment strategy a numerical approximation of the unknown fields in a separated form. Although first introduced and successfully demonstrated in the context of high-dimensional problems, the PGD allows for a completely new approach for addressing more standard problems in science and engineering. Indeed, many challenging problems can be efficiently cast into a multi-dimensional framework, thus opening entirely new solution strategies in the PGD framework. For instance, the material parameters and boundary conditions appearing in a particular mathematical model can be regarded as extra-coordinates of the problem in addition to the usual coordinates such as space and time. In the PGD framework, this enriched model is solved only on |
| 出版日期 | Book 2014 |
| 关键词 | High-dimensional problems; Numerical simulation; Partial differential equations; Reduced-order modellin |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-02865-1 |
| isbn_softcover | 978-3-319-02864-4 |
| isbn_ebook | 978-3-319-02865-1Series ISSN 2191-530X Series E-ISSN 2191-5318 |
| issn_series | 2191-530X |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 17:20:04
