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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

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
Creator
Contributor
Author
Subject
Language
eng
Summary
Many problems in scientific computing are intractable with classical numerical techniques. These fail, for example, in the solution of high-dimensional 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 high-dimensional 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 multi-dimensional 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 extra-coordinates 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
Member of
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
Instantiates
Publication
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
Publication
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

Library Locations

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      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
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