Tensor Spaces and Numerical Tensor Calculus: 56 (Springer Series in Computational Mathematics) - Tapa blanda

Hackbusch, Wolfgang

 
9783030355562: Tensor Spaces and Numerical Tensor Calculus: 56 (Springer Series in Computational Mathematics)
Tapa blanda
ISBN 10: 303035556X ISBN 13: 9783030355562
Editorial: Springer, 2021

Sinopsis

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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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.

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2021
Idioma
Inglés
ISBN 10 
303035556X
ISBN 13 
9783030355562
Encuadernación
Tapa blanda
Número de edición
2
Número de páginas
636
Contacto del fabricante
no disponible
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Otras ediciones populares con el mismo título

9783030355531: Tensor Spaces and Numerical Tensor Calculus: 56 (Springer Series in Computational Mathematics)

Edición Destacada

ISBN 10:  3030355535 ISBN 13:  9783030355531
Editorial: Springer, 2020
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