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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Technik Maschinenbau & Fertigungstechnik The Proper Generalized Decomposition for Advanced Numerical Simulations
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The Proper Generalized Decomposition for Advanced Numerical Simulations
Francisco Chinesta, Roland Keunings, Adrien Leygue (Broschiert, Englisch)
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Beschreibung
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. 53,49 €
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Technische Daten
Erscheinungsdatum
18.10.2013
Sprache
Englisch
Originalsprache
Englisch
EAN
9783319028644
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
SpringerBriefs in Applied Sciences and Technology
Sonderedition
Nein
Autor
Francisco Chinesta, Roland Keunings, Adrien Leygue
Seitenanzahl
117
Auflage
2014
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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