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Many Hoverfly - thanks! What kinds of PDE and boundary conditions are you thinking about? In some sense each PDE is its own branch of mathematics, though many can lumped into 3 main kinds, and people have separate conferences on the 3 kinds (elliptic, hyperbolic and parabolic).
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Perfect Fowl At the moment I'm mainly interested in elliptic PDE problems, but one would naturally like to extend this into time-dependent problems eventually. Generally I am interested mainly in the discrete versions of PDE problems as they apply to vision and graphics. There's a long and interesting history there, but the main focus has been on solving the Poisson and/or Laplace equations on some form of mesh or graph data structure. I can cite some examples from the literature if you're interested.
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