| 书目名称 | Tensor Spaces and Numerical Tensor Calculus |
| 编辑 | Wolfgang Hackbusch |
| 视频video | |
| 概述 | First monograph on this subject in the field of numerical mathematics.Covers algebraic and functional analysis aspects of tensor spaces.Focuses on the numerical treatment |
| 丛书名称 | Springer Series in Computational Mathematics |
| 图书封面 |  |
| 描述 | .Special numerical techniques are already needed to deal with .n. × .n. matrices for large .n.. Tensor data are of size .n. × .n. ×...× .n.=.n.d., where .n.d. exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods fail, a particular tensor calculus is needed to treat such problems. This monograph describes the methods by which tensors can be practically treated and shows how numerical operations can be performed. Applications include problems from quantum chemistry, approximation of multivariate functions, solution of partial differential equations, for example with stochastic coefficients, and more. In addition to containing corrections of the unavoidable misprints, this revised second edition includes new parts ranging from single additional statements to new subchapters. The book is mainly addressed to numerical mathematicians and researchers working with high-dimensional data. It also touches problems related to Geometric Algebra.. |
| 出版日期 | Book 2019Latest edition |
| 关键词 | high-dimensional problems; numerical tensor calculus; tensor formats; tensor spaces; tensorization |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-3-030-35554-8 |
| isbn_softcover | 978-3-030-35556-2 |
| isbn_ebook | 978-3-030-35554-8Series ISSN 0179-3632 Series E-ISSN 2198-3712 |
| issn_series | 0179-3632 |
| copyright | Springer Nature Switzerland AG 2019 |
发表于 2025-3-21 16:41:15
