Tensor Spaces And Numerical Tensor Calculus - Hackbusch Wolfgang | Libro Springer 01/2020 - HOEPLI.it


home libri books ebook dvd e film top ten sconti 0 Carrello


Torna Indietro

hackbusch wolfgang - tensor spaces and numerical tensor calculus

Tensor Spaces and Numerical Tensor Calculus SECOND EDITION




Disponibilità: solo 1 copia disponibile, compra subito!

Se ordini entro 4 ore e 53 minuti, consegna garantita in 48 ore lavorative
scegliendo le spedizioni Express



PREZZO
125,00 €
NICEPRICE
106,25 €
SCONTO
15%



Questo prodotto usufruisce delle SPEDIZIONI GRATIS
selezionando l'opzione Corriere Veloce in fase di ordine.


Pagabile anche con App18 Bonus Cultura e Carta Docenti


Facebook Twitter Aggiungi commento


Spese Gratis

Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 01/2020
Edizione: 2nd ed. 2019





Sommario

Part I: Algebraic Tensors.- 1 Introduction.- 2 Matrix Tools.- 3 Algebraic Foundations of Tensor Spaces.- Part II: Functional Analysis of Tensor Spaces.- 4 Banach Tensor Spaces.- 5 General Techniques.- 6 Minimal Subspaces.- Part III: Numerical Treatment.- 7 r-Term Representation.- 8 Tensor Subspace Represenation.- 9 r-Term Approximation.- 10 Tensor Subspace Approximation.- 11 Hierarchical Tensor Representation.- 12 Matrix Product Systems.- 13 Tensor Operations.- 14 Tensorisation.- 15 Multivariate Cross Approximation.- 16 Applications to Elliptic Partial Differential Equations.- 17 Miscellaneous Topics.





Trama

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.






Autore

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.







Altre Informazioni

ISBN:

9783030355531

Condizione: Nuovo
Collana: Springer Series in Computational Mathematics
Dimensioni: 235 x 155 mm Ø 1112 gr
Formato: Copertina rigida
Illustration Notes:5 Illustrations, black and white
Pagine Arabe: 605
Pagine Romane: xxviii






Utilizziamo i cookie di profilazione, anche di terze parti, per migliorare la navigazione, per fornire servizi e proporti pubblicità in linea con le tue preferenze. Se vuoi saperne di più o negare il consenso a tutti o ad alcuni cookie clicca qui. Chiudendo questo banner o proseguendo nella navigazione acconsenti all’uso dei cookie.

X