The Resource The proper generalized decomposition for advanced numerical simulations : a primer, Francisco Chinesta, Roland Keunings, Adrien Leygue
The proper generalized decomposition for advanced numerical simulations : a primer, Francisco Chinesta, Roland Keunings, Adrien Leygue
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The item The proper generalized decomposition for advanced numerical simulations : a primer, Francisco Chinesta, Roland Keunings, Adrien Leygue represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item The proper generalized decomposition for advanced numerical simulations : a primer, Francisco Chinesta, Roland Keunings, Adrien Leygue represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 Many problems in scientific computing are intractable with classical numerical techniques. These fail, for example, in the solution of highdimensional models due to the exponential increase of the number of degrees of freedom. Recently, the authors of this book and their collaborators have developed a novel technique, called Proper Generalized Decomposition (PGD) that has proven to be a significant step forward. The PGD builds by means of a successive enrichment strategy a numerical approximation of the unknown fields in a separated form. Although first introduced and successfully demonstrated in the context of highdimensional problems, the PGD allows for a completely new approach for addressing more standard problems in science and engineering. Indeed, many challenging problems can be efficiently cast into a multidimensional framework, thus opening entirely new solution strategies in the PGD framework. For instance, the material parameters and boundary conditions appearing in a particular mathematical model can be regarded as extracoordinates of the problem in addition to the usual coordinates such as space and time. In the PGD framework, this enriched model is solved only once to yield a parametric solution that includes all particular solutions for specific values of the parameters. The PGD has now attracted the attention of a large number of research groups worldwide. The present text is the first available book describing the PGD. It provides a very readable and practical introduction that allows the reader to quickly grasp the main features of the method. Throughout the book, the PGD is applied to problems of increasing complexity, and the methodology is illustrated by means of carefully selected numerical examples. Moreover, the reader has free access to the Matlab software used to generate these examples
 Language
 eng
 Extent
 xiii, 117 pages
 Contents

 PGD solution of the Poisson equation
 PGD versus SVD
 The transient diffusion equation
 Parametric models
 Advanced topics
 Isbn
 9783319028644
 Label
 The proper generalized decomposition for advanced numerical simulations : a primer
 Title
 The proper generalized decomposition for advanced numerical simulations
 Title remainder
 a primer
 Statement of responsibility
 Francisco Chinesta, Roland Keunings, Adrien Leygue
 Language
 eng
 Summary
 Many problems in scientific computing are intractable with classical numerical techniques. These fail, for example, in the solution of highdimensional models due to the exponential increase of the number of degrees of freedom. Recently, the authors of this book and their collaborators have developed a novel technique, called Proper Generalized Decomposition (PGD) that has proven to be a significant step forward. The PGD builds by means of a successive enrichment strategy a numerical approximation of the unknown fields in a separated form. Although first introduced and successfully demonstrated in the context of highdimensional problems, the PGD allows for a completely new approach for addressing more standard problems in science and engineering. Indeed, many challenging problems can be efficiently cast into a multidimensional framework, thus opening entirely new solution strategies in the PGD framework. For instance, the material parameters and boundary conditions appearing in a particular mathematical model can be regarded as extracoordinates of the problem in addition to the usual coordinates such as space and time. In the PGD framework, this enriched model is solved only once to yield a parametric solution that includes all particular solutions for specific values of the parameters. The PGD has now attracted the attention of a large number of research groups worldwide. The present text is the first available book describing the PGD. It provides a very readable and practical introduction that allows the reader to quickly grasp the main features of the method. Throughout the book, the PGD is applied to problems of increasing complexity, and the methodology is illustrated by means of carefully selected numerical examples. Moreover, the reader has free access to the Matlab software used to generate these examples
 Cataloging source
 YDXCP
 http://library.link/vocab/creatorName
 Chinesta, Francisco
 Illustrations
 illustrations
 Index
 no index present
 LC call number
 QA401
 LC item number
 .C485 2014
 Literary form
 non fiction
 Nature of contents
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName

 Keunings, R.
 Leygue, Adrien
 Series statement
 SpringerBriefs in Applied Sciences and Technology,
 http://library.link/vocab/subjectName
 Mathematical models
 Label
 The proper generalized decomposition for advanced numerical simulations : a primer, Francisco Chinesta, Roland Keunings, Adrien Leygue
 Bibliography note
 Includes bibliographical references
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier.
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 Contents
 PGD solution of the Poisson equation  PGD versus SVD  The transient diffusion equation  Parametric models  Advanced topics
 Control code
 859232251
 Dimensions
 24 cm.
 Extent
 xiii, 117 pages
 Isbn
 9783319028644
 Lccn
 2013951633
 Media category
 unmediated
 Media MARC source
 rdamedia.
 Media type code

 n
 Other physical details
 illustrations (some color)
 System control number
 (OCoLC)859232251
 Label
 The proper generalized decomposition for advanced numerical simulations : a primer, Francisco Chinesta, Roland Keunings, Adrien Leygue
 Bibliography note
 Includes bibliographical references
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier.
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 Contents
 PGD solution of the Poisson equation  PGD versus SVD  The transient diffusion equation  Parametric models  Advanced topics
 Control code
 859232251
 Dimensions
 24 cm.
 Extent
 xiii, 117 pages
 Isbn
 9783319028644
 Lccn
 2013951633
 Media category
 unmediated
 Media MARC source
 rdamedia.
 Media type code

 n
 Other physical details
 illustrations (some color)
 System control number
 (OCoLC)859232251
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