The subject of the School will be a blend of the closely-related subjects of practical approximation theory and spectral methods for solving differential equations, all in the context of the Chebfun software system based on Matlab. References included the textbooks by Trefethen, "Spectral Methods in Matlab" (SIAM 2000) and "Approximation Theory and Approximation Practice" (in preparation; draft available at
In connection with spectral methods, participants will also be introduced to the use of Automatic Differentation for solution of nonlinear ODE boundary-value problems by Newton's method.

Participants should be "comfortable with Matlab".