000 03058nam a22005175i 4500
001 978-3-540-71041-7
003 DE-He213
005 20140220083740.0
007 cr nn 008mamaa
008 110823s2011 gw | s |||| 0|eng d
020 _a9783540710417
_9978-3-540-71041-7
024 7 _a10.1007/978-3-540-71041-7
_2doi
050 4 _aQA71-90
072 7 _aPBKS
_2bicssc
072 7 _aMAT006000
_2bisacsh
082 0 4 _a518
_223
082 0 4 _a518
_223
100 1 _aShen, Jie.
_eauthor.
245 1 0 _aSpectral Methods
_h[electronic resource] :
_bAlgorithms, Analysis and Applications /
_cby Jie Shen, Tao Tang, Li-Lian Wang.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2011.
300 _aXVI, 472 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Series in Computational Mathematics,
_x0179-3632 ;
_v41
505 0 _aIntroduction -- Fourier Spectral Methods for Periodic Problems -- Orthogonol Polynomials and Related Approximation Results -- Second-Order Two-Point Boundary Value Problems -- Integral Equations -- High-Order Differential Equations -- Problems in Unbounded Domains -- Multi-Dimensional Domains -- Mathematical Preliminaries -- Basic iterative methods -- Basic time discretization schemes -- Instructions for routines in Matlab.  .
520 _aAlong with finite differences and finite elements, spectral methods are one of the three main methodologies for solving partial differential equations on computers. This book provides a detailed presentation of basic spectral algorithms, as well as a systematical presentation of  basic convergence theory and error analysis for spectral methods. Readers of this book will be exposed to a unified framework for designing and analyzing spectral algorithms for a variety of problems, including in particular high-order differential equations and problems in unbounded domains. The book contains a large number of figures which are designed to illustrate various concepts stressed in the book. A set of basic matlab codes has been made available online to help the readers to develop their own spectral codes for their specific applications.
650 0 _aMathematics.
650 0 _aComputer science.
650 0 _aDifferential equations, partial.
650 0 _aComputer science
_xMathematics.
650 1 4 _aMathematics.
650 2 4 _aComputational Mathematics and Numerical Analysis.
650 2 4 _aPartial Differential Equations.
650 2 4 _aMathematics of Computing.
700 1 _aTang, Tao.
_eauthor.
700 1 _aWang, Li-Lian.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540710400
830 0 _aSpringer Series in Computational Mathematics,
_x0179-3632 ;
_v41
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-540-71041-7
912 _aZDB-2-SMA
999 _c106648
_d106648