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001 277061
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008 150903s2005 xxu| o |||| 0|eng d
020 _a9780387287690
_99780387287690
024 7 _a10.1007/9780387287690
_2doi
035 _avtls000330634
039 9 _a201509030439
_bVLOAD
_c201404121716
_dVLOAD
_c201404091453
_dVLOAD
_c201401311346
_dstaff
_y201401301150
_zstaff
040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA299.6-433
100 1 _aAtkinson, Kendall.
_eautor
_9299479
245 1 0 _aTheoretical Numerical Analysis :
_bA Functional Analysis Framework /
_cby Kendall Atkinson, Weimin Han.
264 1 _aNew York, NY :
_bSpringer New York,
_c2005.
300 _axviii, 576 páginas, 33 ilustraciones
_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 _aTexts in Applied Mathematics,
_x0939-2475 ;
_v39
500 _aSpringer eBooks
505 0 _aLinear Spaces -- Linear Operators on Normed Spaces -- Approximation Theory -- Fourier Analysis and Wavelets -- Nonlinear Equations and Their Solution by Iteration -- Finite Difference Method -- Sobolev Spaces -- Variational Formulations of Elliptic Boundary Value Problems -- The Galerkin Method and Its Variants -- Finite Element Analysis -- Elliptic Variational Inequalities and Their Numerical Approximations -- Numerical Solution of Fredholm Integral Equations of the Second Kind -- Boundary Integral Equations.
520 _aThis textbook prepares graduate students for research in numerical analysis/computational mathematics by giving to them a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps the student to move rapidly into a research program. The text covers basic results of functional analysis, approximation theory, Fourier analysis and wavelets, iteration methods for nonlinear equations, finite difference methods, Sobolev spaces and weak formulations of boundary value problems, finite element methods, elliptic variational inequalities and their numerical solution, numerical methods for solving integral equations of the second kind, and boundary integral equations for planar regions. The presentation of each topic is meant to be an introduction with certain degree of depth. Comprehensive references on a particular topic are listed at the end of each chapter for further reading and study. In this new edition many sections from the first edition have been revised to varying degrees as well as over 140 new exercises added. A new chapter on Fourier Analysis and wavelets has been included. Review of earlier edition: "...the book is clearly written, quite pleasant to read, and contains a lot of important material; and the authors have done an excellent job at balancing theoretical developments, interesting examples and exercises, numerical experiments, and bibliographical references." R. Glowinski, SIAM Review, 2003
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700 1 _aHan, Weimin.
_eautor
_9299480
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9780387258874
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-387-28769-0
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942 _c14
999 _c277061
_d277061