01663 2200181 4500010001800000090001700018100004000035101001300075200007400088205001900162210004100181215002200222330099500244606002401239686006701263700003001330995012101360 a9783030355531 921293a21293 a20210901 frey50 aengceng aTensor Spaces and Numerical Tensor CalculusbMONfWolfgang, Hackbusch aSecond edition cSpringer Nature Switzerland AGd2019 aXXVIII, 605 pages aSpecial 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. aAnalyse numérique a518 Analyse numérique, modélisation et calcul scientifique 96826aHackbuschbWolfgang 964634bENSBcENSBeMATHEMATIQUESj043871k518 HACo0u518 Analyse numérique, modélisation et calcul scientifique