| 书目名称 | Hierarchical Matrices |
| 副标题 | A Means to Efficient |
| 编辑 | Mario Bebendorf |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | Lecture Notes in Computational Science and Engineering |
| 图书封面 |  |
| 描述 | .Hierarchical matrices are an efficient framework for large-scale fully populated matrices arising, e.g., from the finite element discretization of solution operators of elliptic boundary value problems. In addition to storing such matrices, approximations of the usual matrix operations can be computed with logarithmic-linear complexity, which can be exploited to setup approximate preconditioners in an efficient and convenient way. Besides the algorithmic aspects of hierarchical matrices, the main aim of this book is to present their theoretical background...The book contains the existing approximation theory for elliptic problems including partial differential operators with nonsmooth coefficients. Furthermore, it presents in full detail the adaptive cross approximation method for the efficient treatment of integral operators with non-local kernel functions. The theory is supported by many numerical experiments from real applications.. |
| 出版日期 | Book 2008 |
| 关键词 | Approximation; Boundary value problem; approximation theory; efficient algorithms in science and engine |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-540-77147-0 |
| isbn_softcover | 978-3-540-77146-3 |
| isbn_ebook | 978-3-540-77147-0Series ISSN 1439-7358 Series E-ISSN 2197-7100 |
| issn_series | 1439-7358 |
| copyright | Springer-Verlag Berlin Heidelberg 2008 |
发表于 2025-3-21 19:54:44
