The Chebfun Examples have been written by various authors beginning in 2010. New Examples are always welcome!—download ExampleTemplate.m to get started, and if you have a draft, get in touch.
The Examples are updated from time to time, but the original date is retained. That is why, for example, you will sometimes see an example dated in one year referencing a paper from a later year.

The Gibbs phenomenon in 2D
Andre Uschmajew and Nick Trefethen, February 2017

Smooth random walk
Nick Trefethen, February 2017

Rayleigh quotient and the maximum principle for eigenvalues
Grady Wright, February 2017

Periodic CF approximation: Eureka!
Nick Trefethen, February 2017

Maxima of a random function
Nick Trefethen, February 2017

Hermite quadrature
Nick Trefethen and Andre Weideman, February 2017

Adjoint of a linear operator
Yuji Nakatsukasa, February 2017