Spectral Methods in MATLAB

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.