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Springer Series in Computational Mathematics

Tensor Spaces and Numerical Tensor Calculus

Authors: Hackbusch, Wolfgang

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  • 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
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eBook 50,28 €
96,29 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-35554-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 62,39 €
124,79 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-35553-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 46,79 €
88,39 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-35556-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.


About the authors

Wolfgang Hackbusch is working in the field of numerical mathematics for partial differential equations and integral equations. He has published monographs, e.g., about the multi-grid method, about the numerical analysis of elliptic pdes, about iterative solution of large systems of equation, and about the technique of hierarchical matrices.

Table of contents (17 chapters)

Table of contents (17 chapters)

Buy this book

eBook 50,28 €
96,29 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-35554-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 62,39 €
124,79 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-35553-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 46,79 €
88,39 € (listprice)
price for Spain (gross)
valid through June 30, 2021
  • ISBN 978-3-030-35556-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Tensor Spaces and Numerical Tensor Calculus
Authors
Series Title
Springer Series in Computational Mathematics
Series Volume
56
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-35554-8
DOI
10.1007/978-3-030-35554-8
Hardcover ISBN
978-3-030-35553-1
Softcover ISBN
978-3-030-35556-2
Series ISSN
0179-3632
Edition Number
2
Number of Pages
XXVIII, 605
Number of Illustrations
5 b/w illustrations, 3 illustrations in colour
Topics