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03054nam a22005055i 4500 |
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978-3-540-71041-7 |
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DE-He213 |
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20151125021212.0 |
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cr nn 008mamaa |
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110823s2011 gw | s |||| 0|eng d |
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|a 9783540710417
|9 978-3-540-71041-7
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|a 10.1007/978-3-540-71041-7
|2 doi
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|d GrThAP
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|a QA71-90
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|a PBKS
|2 bicssc
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|a MAT006000
|2 bisacsh
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|a 518
|2 23
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|a Shen, Jie.
|e author.
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| 245 |
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|a Spectral Methods
|h [electronic resource] :
|b Algorithms, Analysis and Applications /
|c by Jie Shen, Tao Tang, Li-Lian Wang.
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| 264 |
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg,
|c 2011.
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| 300 |
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|a XVI, 472 p.
|b online resource.
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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| 347 |
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|a text file
|b PDF
|2 rda
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| 490 |
1 |
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|a Springer Series in Computational Mathematics,
|x 0179-3632 ;
|v 41
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| 505 |
0 |
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|a Introduction -- 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. .
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| 520 |
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|a Along 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.
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| 650 |
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|a Mathematics.
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| 650 |
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|a Computer science
|x Mathematics.
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| 650 |
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|a Partial differential equations.
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| 650 |
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|a Computer mathematics.
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| 650 |
1 |
4 |
|a Mathematics.
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| 650 |
2 |
4 |
|a Computational Mathematics and Numerical Analysis.
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| 650 |
2 |
4 |
|a Partial Differential Equations.
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| 650 |
2 |
4 |
|a Mathematics of Computing.
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| 700 |
1 |
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|a Tang, Tao.
|e author.
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| 700 |
1 |
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|a Wang, Li-Lian.
|e author.
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
0 |
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|t Springer eBooks
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| 776 |
0 |
8 |
|i Printed edition:
|z 9783540710400
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| 830 |
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|a Springer Series in Computational Mathematics,
|x 0179-3632 ;
|v 41
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| 856 |
4 |
0 |
|u http://dx.doi.org/10.1007/978-3-540-71041-7
|z Full Text via HEAL-Link
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| 912 |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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