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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Tensor Spaces and Numerical Tensor Calculus

Tensor Spaces and Numerical Tensor Calculus

Hackbusch, Wolfgang

Paperback

Series: Springer Computational Mathematics, Book 56

ChemistryGeneral MathematicsPhysics

ISBN10: 303035556X
ISBN13: 9783030355562
Publisher: Springer Nature
Published: Jan 24 2021
Pages: 605
Weight: 1.93
Height: 1.28 Width: 6.14 Depth: 9.21
Language: English

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.

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