Electronic Resource

The Proper Generalized Decomposition for Advanced Numerical Simulations A Primer

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Penilaian

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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.

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Availability

Inventory Code	Barcode	Call Number	Location	Status
1408000208	EB0000338	511.8 Ley t	Central Library	Available

Detail Information

Series Title

" SpringerBriefs in applied sciences and technology"

Call Number

511.8 Ley t

Publisher

Switzerland : Springer Cham., 2014

Collation

xiii, 117.: III.

Language

English

ISBN/ISSN

978-3-319-02865-1

Classification

511.8

Content Type

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Media Type

-

Carrier Type

-

Edition

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Subject(s)

Mathematical Models
Mechanics, applied

Specific Detail Info

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Statement of Responsibility

RIZAL

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