Tensor Spaces and Numerical Tensor Calculus

By:

Wolfgang Hackbusch

Format:

Hardback

Series:

Springer Series in Computational Mathematics

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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.

Author Biography:

Wolfgang Hackbusch is working in the field of numerical mathematics for partial differential equations and integral equations. He has published monographs, e.g., about the multi-grid method, about the numerical analysis of elliptic pdes, about iterative solution of large systems of equation, and about the technique of hierarchical matrices.

Release date NZ

January 24th, 2020

Author

Wolfgang Hackbusch

Audience

Professional & Vocational

Edition

2nd ed. 2019

Illustrations

3 Illustrations, color; 5 Illustrations, black and white; XXVIII, 605 p. 8 illus., 3 illus. in color.

Pages

605

Series

Springer Series in Computational Mathematics

ISBN-13

9783030355531

Product ID

31923897

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