| Abstract: |
| The Closest Point Method is a set of mathematical principles and
numerical techniques for solving PDEs posed on curved surfaces or
other general domains. The method works by embedding the domain in a
higher-dimensional space and solving the PDE in that space, using
simple finite differences and interpolation.
We describe this method for reaction-diffusion problems on surfaces,
and show that it can be applied when surface processes are coupled to
reaction-diffusion in a surrounding bulk. Example computations
include point clouds, and some progress on biological applications. |
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