Tensor Spaces and Numerical Tensor Calculus
Language: English
Published by Springer International Publishing, 2020
- Hardcover
- New
Seller: moluna, Greven, Germanymoluna
AbeBooks seller since July 9, 2020
Condition: New
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Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. First monograph on this subject in the field of numerical mathematicsCovers algebraic and functional analysis aspects of tensor spacesFocuses on the numerical treatmentWolfgang Hackbusch is working in the fi.
Seller Inventory # 448680094
- Title
- Tensor Spaces and Numerical Tensor Calculus
- Author
- Wolfgang Hackbusch
- Publisher
- Springer International Publishing
- Publication year
- 2020
- Condition
- New
- Binding
- Gebunden
- Language
- English
- ISBN 10
- 3030355535
- ISBN 13
- 9783030355531
- Edition
- 2nd Edition
- Series
- Book 32 of 33: Springer Computational Mathematics
- Seller catalogs
- Mathematik/Naturwissenschaften/Technik/Medizin
Special numerical techniques are already needed to deal with n × n matrices for large n. Tensor data are of size n × n ×...× n=nd, where nd 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.
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