Electronic Resource

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

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Penilaian

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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.

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Availability

Inventory Code	Barcode	Call Number	Location	Status
1408000277	EB0000482	620.015 Sep	Central Library	Available

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

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Statement of Responsibility

RTS

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