Identificacion Principal del registro INGC-EBK-000315

Control Number Identifier AR-LpUFI

LAST MODIFICATION DATE 20160829142437

CONTROL FIELD cr nn 008mamaa

CONTROL FIELD 131008s2014 gw | s |||| 0|eng d

a International Standard Book Number 9783319028651

a Standard number or code 10.1007/978-3-319-02865-1

a Personal name Chinesta, Francisco.

a Title The Proper Generalized Decomposition for Advanced Numerical Simulations

h Medium [libro electrónico] : ;

b Remainder of title A Primer /

c Statement of responsibility, etc by Francisco Chinesta, Roland Keunings, Adrien Leygue.

a Place of publication, distribution, etc Cham :

b Name of publisher, distributor, etc Springer International Publishing :

b Name of publisher, distributor, etc Imprint: Springer,

c Date of publication, distribution, etc 2014.

a Extent xiii, 117 p. :

b Other physical details il.

a Series statement SpringerBriefs in Applied Sciences and Technology,

x International Standard Serial Number 2191-530X

a Formatted contents note 1 Introduction -- 2 PGD solution of the Poisson equation -- 3 PGD versus SVD -- 4 The transient diffusion equation -- 5 Parametric models -- 6 Advanced topics.

a Summary, etc 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.

a Topical term or geographic name as entry element Computer mathematics.

a Topical term or geographic name as entry element Mechanics, Applied.

a Topical term or geographic name as entry element Engineering.

a Topical term or geographic name as entry element Theoretical and Applied Mechanics.

a Topical term or geographic name as entry element Computational Science and Engineering.

a Topical term or geographic name as entry element Computer-Aided Engineering (CAD, CAE) and Design.

a Personal name Keunings, Roland.

a Personal name Leygue, Adrien.

u Uniform Resource Identifier (R) http://dx.doi.org/10.1007/978-3-319-02865-1

c item type EBK

a descripción COM