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Image of Separated Representations and PGD-Based Model Reduction: Fundamentals and Applications

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

Chinesta, Francisco - Personal Name; Ladevèze, Pierre - Personal Name;

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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.


Availability
Inventory Code Barcode Call Number Location Status
1408000277EB0000482620.015 SepCentral LibraryAvailable
Detail Information
Series Title
CISM International Centre for Mechanical Sciences
Call Number
620.015 Sep
Publisher
Vienna : Springer Vienna., 2014
Collation
vii, 227p.: Ill.
Language
English
ISBN/ISSN
978-3-7091-1794-1
Classification
620.015
Content Type
Ebook
Media Type
-
Carrier Type
online resource
Edition
1
Subject(s)
Engineering--Mathematical models
Specific Detail Info
-
Statement of Responsibility
RTS
Other version/related

No other version available

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  • Separated Representations and PGD-Based Model Reduction
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