MPSpack is a user-friendly and fully object-oriented MATLAB toolbox that implements the Method of Particular Solutions and related boundary methods (e.g. fundamental solutions, layer potentials) for efficient and highly accurate solution of Laplace eigenvalue problems, interior/exterior Helmholtz boundary-value problems (e.g. wave scattering), and related PDE problems, on piecewise-constant 2D domains.
It is currently in the development stage.
Please see the Downloads page for a gzip tar archive of the package, and the manual which has installation instructions. See the Source page for how to download via svn (subversion)
Below is an example image showing scattering from a square, implemented with domain-decomposition MPS, ie spectrally-accurate corner-adapted MPS basis functions coupled to an exterior MFS basis expansion.