Simple numerical techniques for reaction-diffusion on general geometry
Colin B. Macdonald · European Conference on Mathematical and Theoretical Biology · 2014
The Closest Point Method is a set of mathematical principles and associated numerical techniques for solving partial differential equations (PDEs) posed on curved surfaces or other general domains. The method works by embedding the surface in a higher-dimensional space and solving the PDE in that space using simple finite difference and interpolation schemes. This presentation outlines some of the work we've done on reaction-diffusion equations on surfaces and other general domains, including bulk-coupling, curvature-dependence, point clouds and our Matlab/Python software for performing these calculations.