<p>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.</p> <p>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.</p>

Spectral Methods in MATLAB (Software, Environments, Tools) PDF

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