ENGLISH

Tensor Spaces and Numerical Tensor Calculus

By Wolfgang Hackbusch (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2012
ISBN
9783642280269, 3642280269
DOI
10.1007/978-3-642-28027-6
Language
english
Format
PDF
Filesize
4 MB (4479804 bytes)
Series
Springer Series in Computational Mathematics 42
Edition
1
Pages
500\525
Library
Kolxo3
Time added
2012-08-21 20:00:00
Mathematical and Computational PhysicsNumerical Analysis;Theoretical and Computational C

Description

Special numerical techniques are already needed to deal with nxn matrices for large n.Tensor data are of size nxnx...xn=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. The monograph describes the methods how tensors can be practically treated and how numerical operations can be performed. Applications are problems from quantum chemistry, approximation of multivariate functions, solution of pde, e.g., with stochastic coefficients, etc. ​

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