  We describe QGLAB, a new MATLAB package for analyzing partial differential
equations on quantum graphs. The software is built on the existing,
object-oriented MATLAB directed-graph class, inheriting its structure and
adding additional easy-to-use features. The package allows one to construct a
quantum graph and accurately compute the spectrum of elliptic operators,
solutions to Poisson problems, the linear and nonlinear time evolution of a
variety of PDEs, the continuation of branches of steady states (including
locating and switching branches at bifurcations) and more. It uses a unified
framework to implement finite-difference and Chebyshev discretizations of
differential operators on a quantum graph. For simplicity, the package
overloads many built-in MATLAB functions to work on the class.
