01532 2200169 4500
9783030355531
21293
21293
20210901 frey50
eng
eng
Tensor Spaces and Numerical Tensor Calculus
MON
Wolfgang, Hackbusch
Second edition
Springer Nature Switzerland AG
2019
XXVIII, 605 pages
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.
Analyse numérique
518 Analyse numérique, modélisation et calcul scientifique
6826
Hackbusch
Wolfgang
64634
ENSB
ENSB
MATHEMATIQUES
043871
518 HAC
0
518 Analyse numérique, modélisation et calcul scientifique