Separated Representations and PGD-Based Model Reduction: Fundamentals and Applications (CISM International Centre for Mechanical Sciences, 554, Band 554) - Hardcover

Buch 352 von 432: CISM International Centre for Mechanical Sciences
 
9783709117934: Separated Representations and PGD-Based Model Reduction: Fundamentals and Applications (CISM International Centre for Mechanical Sciences, 554, Band 554)
Hardcover
ISBN 10: 3709117933 ISBN 13: 9783709117934
Verlag: Springer, 2014

Inhaltsangabe

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.

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Von der hinteren Coverseite

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2014
Sprache
Englisch
ISBN 10 
3709117933
ISBN 13 
9783709117934
Einband
Gebundene Ausgabe
Anzahl der Seiten
234
Herausgeber
Chinesta Francisco, Ladevèze Pierre
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Vorgestellte Ausgabe

ISBN 10:  370911795X ISBN 13:  9783709117958
Verlag: Springer, 2014
Softcover