Spectral Methods in MATLAB

Explores spectral methods built around MATLAB programmes. 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 40 short and powerful MATLAB programmes, which the reader can download from the World Wide Web. The book presents the key ideas along with many figures, examples and short, elegant MATLAB programmes 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.