Tensor Spaces and Numerical Tensor Calculus

Hackbusch, Wolfgang

ISBN 10: 303035556X ISBN 13: 9783030355562

Editorial: Springer, 2021

Idioma: Ingl�s

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Detalles bibliogr�ficos

T�tulo

Tensor Spaces and Numerical Tensor Calculus

Editor

Springer

Fecha de publicaci�n

2021

Idioma

Ingl�s

ISBN 10

303035556X

ISBN 13

9783030355562

Encuadernaci�n

Encuadernaci�n de tapa blanda

Edici�n

2� Edici�n

Estado

New

Cat�logos de vendedores

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Sinopsis

Special numerical techniques are already needed to deal with n � n matrices for large n. Tensor data are of size n � n �...� n=n^d, where n^d 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.

Acerca del autor

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.

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