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Spectral methods in MATLAB /

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This is the only book on spectral methods built around MATLAB programs. Along with finite differences and finite elements, spectral methods are one of the three main technologies for solving partial differential equations on computers. Since spectral methods involve significant linear algebra and gr...

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Bibliographic Details
Main Author: Trefethen, Lloyd N. (Lloyd Nicholas) (Author)
Format: Book
Language:English
Language Notes:English.
Published: Philadelphia, PA : Society for Industrial and Applied Mathematics, [2000]
Series:Software, environments, tools.
Subjects:
MATLAB.
MATLAB (Logiciel)
Differential equations, Partial > Numerical solutions > Data processing.
Spectral theory (Mathematics)
Équations aux dérivées partielles > Solutions numériques > Informatique.
Spectre (Mathématiques)
31.52 differential geometry.
Spectraaltheorie.
Differentiaalvergelijkingen.
Numerieke methoden.
Análise numérica.
Algoritmos.
PARTIAL DIFFERENTIAL EQUATIONS.
DATA PROCESSING.
SPECTRAL THEORY.
Spectral theory (Mathematics) > Data processing.
Online Access:Table of contents
Table of contents
Publisher description
SIAM e-books
Description
Summary:This is the only book on spectral methods built around MATLAB programs. Along with finite differences and finite elements, spectral methods are one of the three main technologies for solving partial differential equations on computers. Since spectral methods involve significant linear algebra and graphics they are very suitable for the high level programming of MATLAB. This hands-on introduction is built around forty short and powerful MATLAB programs, which the reader can download from the World Wide Web. This book presents the key ideas along with many figures, examples, and short, elegant MATLAB programs for readers to adapt to their own needs. It covers ODE and PDE boundary value problems, eigenvalues and pseudospectra, linear and nonlinear waves, and numerical quadrature.
Physical Description:xvi, 165 pages : illustrations ; 26 cm.
Bibliography:Includes bibliographical references (pages 155-160) and index.
ISBN:0898714656
9780898714654