000			03725nam a22003975i 4500
001			293675
003			MX-SnUAN
005			20160429155115.0
007			cr nn 008mamaa
008			150903s2014 gw | o |||| 0|eng d
020			_a9783319028651 _99783319028651
024	7		_a10.1007/9783319028651 _2doi
035			_avtls000346318
039		9	_a201509030915 _bVLOAD _c201405050334 _dVLOAD _y201402070854 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aTA349-359
100	1		_aChinesta, Francisco. _eautor _9322312
245	1	4	_aThe Proper Generalized Decomposition for Advanced Numerical Simulations : _bA Primer / _cby Francisco Chinesta, Roland Keunings, Adrien Leygue.
264		1	_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2014.
300			_axiii, 117 páginas 34 ilustraciones, 8 ilustraciones en color. _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aSpringerBriefs in Applied Sciences and Technology, _x2191-530X
500			_aSpringer eBooks
505	0		_a1 Introduction -- 2 PGD solution of the Poisson equation -- 3 PGD versus SVD -- 4 The transient diffusion equation -- 5 Parametric models -- 6 Advanced topics.
520			_aMany 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.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aKeunings, Roland. _eautor _9326496
700	1		_aLeygue, Adrien. _eautor _9326497
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9783319028644
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-319-02865-1 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942			_c14
999			_c293675 _d293675