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

QGLAB: A MATLAB Package for Computations on Quantum Graphs