  The `equation-free toolbox' empowers the computer-assisted analysis of
complex, multiscale systems. Its aim is to enable you to immediately use
microscopic simulators to perform macro-scale system level tasks and analysis,
because micro-scale simulations are often the best available description of a
system. The methodology bypasses the derivation of macroscopic evolution
equations by computing the micro-scale simulator only over short bursts in time
on small patches in space, with bursts and patches well-separated in time and
space respectively. We introduce the suite of coded equation-free functions in
an accessible way, link to more detailed descriptions, discuss their
mathematical support, and introduce a novel and efficient algorithm for
Projective Integration. Some facets of toolbox development of equation-free
functions are then detailed. Download the toolbox functions
(https://github.com/uoa1184615/EquationFreeGit) and use to empower efficient
and accurate simulation in a wide range of your science and engineering
problems.
