Tensor spaces and numerical tensor calculus [Documento eletrónico] / by Wolfgang Hackbusch
Language: eng.Country: Switzerland, Swiss Confederation.Edition Statement: 2nd ed. Publication: Cham : Springer International Publishing, Springer, 2019Description: XXVIII, 605 p. : il.ISBN: 978-3-030-35554-8.Series: Springer Series in Computational Mathematics, 56Subject - Topical Name: Numerical analysis | Chemistry, Physical and theoretical | Mathematical physics Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
---|---|---|---|---|---|---|---|---|
E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA297.SPR FCT (Browse shelf(Opens below)) | 1 | Available | 96022 |
Browsing Biblioteca NOVA FCT shelves, Shelving location: Online, Collection: Não Ficção Close shelf browser (Hides shelf browser)
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.
There are no comments on this title.