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Separated Representations and PGD-Based Model Reduction: Fundamentals and Applications: 554 - Rilegato

Libro 352 di 415: CISM International Centre for Mechanical Sciences
 
9783709117934: Separated Representations and PGD-Based Model Reduction: Fundamentals and Applications: 554
Rilegato
ISBN 10: 3709117933 ISBN 13: 9783709117934
Casa editrice: Springer Nature, 2014

Sinossi

The papers in this volume start with a description of the construction of reduced models through a review of Proper Orthogonal Decomposition (POD) and reduced basis models, including their mathematical foundations and some challenging applications, then followed by a description of a new generation of simulation strategies based on the use of separated representations (space-parameters, space-time, space-time-parameters, space-space,…), which have led to what is known as Proper Generalized Decomposition (PGD) techniques. The models can be enriched by treating parameters as additional coordinates, leading to fast and inexpensive online calculations based on richer offline parametric solutions. Separated representations are analyzed in detail in the course, from their mathematical foundations to their most spectacular applications. It is also shown how such an approximation could evolve into a new paradigm in computational science, enabling one to circumvent various computational issues in a vast array of applications in engineering science.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Dalla quarta di copertina

The papers in this volume start with a description of the construction of reduced models through a review of Proper Orthogonal Decomposition (POD) and reduced basis models, including their mathematical foundations and some challenging applications, then followed by a description of a new generation of simulation strategies based on the use of separated representations (space-parameters, space-time, space-time-parameters, space-space,…), which have led to what is known as Proper Generalized Decomposition (PGD) techniques. The models can be enriched by treating parameters as additional coordinates, leading to fast and inexpensive online calculations based on richer offline parametric solutions. Separated representations are analyzed in detail in the course, from their mathematical foundations to their most spectacular applications. It is also shown how such an approximation could evolve into a new paradigm in computational science, enabling one to circumvent various computational issues in a vast array of applications in engineering science.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer Nature
Data di pubblicazione
2014
Lingua
Inglese
ISBN 10 
3709117933
ISBN 13 
9783709117934
Rilegatura
Copertina rigida
Numero di pagine
227
Redattore
Chinesta Francisco, Ladevèze Pierre
Contatto del produttore
Springer Nature Customer Service Center GmbH
ProductSafety@springernature.com

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