Tensor Spaces and Numerical Tensor Calculus 2019 Edition Contributor(s): Hackbusch, Wolfgang (Author) |
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ISBN: 303035556X ISBN-13: 9783030355562 Publisher: Springer OUR PRICE: $151.99 Product Type: Paperback - Other Formats Published: January 2021 |
Additional Information |
BISAC Categories: - Mathematics | Number Systems - Science | Chemistry - Physical & Theoretical - Science | Physics - Mathematical & Computational |
Physical Information: 1.28" H x 6.14" W x 9.21" (1.93 lbs) 605 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |