000			03210nam a22003855i 4500
001			288079
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007			cr nn 008mamaa
008			150903s2013 xxu| o |||| 0|eng d
020			_a9781461458081 _99781461458081
024	7		_a10.1007/9781461458081 _2doi
035			_avtls000341735
039		9	_a201509030337 _bVLOAD _c201405050233 _dVLOAD _y201402061106 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA401-425
100	1		_aErvedoza, Sylvain. _eautor _9317643
245	1	0	_aNumerical Approximation of Exact Controls for Waves / _cby Sylvain Ervedoza, Enrique Zuazua.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2013.
300			_axvii, 122 páginas 17 ilustraciones, 3 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 Mathematics, _x2191-8198
500			_aSpringer eBooks
505	0		_a1.Numerical approximation of exact controls for waves -- 2.The discrete 1-d wave equation -- 3.Convergence for homogeneous boundary conditions -- 4.Convergence with non-homogeneous data -- 5. Further comments and open problems -- References.
520			_aThis book is devoted to fully developing and comparing the two main approaches to the numerical approximation of controls for wave propagation phenomena: the continuous and the discrete. This is accomplished in the abstract functional setting of conservative semigroups.The main results of the work unify, to a large extent, these two approaches, which yield similaralgorithms and convergence rates. The discrete approach, however, gives not only efficient numerical approximations of the continuous controls, but also ensures some partial controllability properties of the finite-dimensional approximated dynamics. Moreover, it has the advantage of leading to iterative approximation processes that converge without a limiting threshold in the number of iterations. Such a threshold, which is hard to compute and estimate in practice, is a drawback of the methods emanating from the continuous approach. To complement this theory, the book provides convergence results for the discrete wave equation when discretized using finite differences and proves the convergence of the discrete wave equation with non-homogeneous Dirichlet conditions. The first book to explore these topics in depth, "On the Numerical Approximations of Controls for Waves" has rich applications to data assimilation problems and will be of interest to researchers who deal with wave approximations.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aZuazua, Enrique. _eautor _9317644
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9781461458074
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-1-4614-5808-1 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942			_c14
999			_c288079 _d288079