  This paper develops a variant of the Least Squares Shadowing (LSS) method,
which has successfully computed the derivative for several chaotic ODEs and
PDEs. The development in this paper aims to simplify Least Squares Shadowing
method by improving how time dilation is treated. Instead of adding an explicit
time dilation term as in the original method, the new variant uses windowing,
which can be simpler to implement, especially for PDEs.

Dynamical Systems