Chalmers Conferences, 9th European Conference on Mathematical and Theoretical Biology

Simple numerical techniques for reaction-diffusion on general geometry
Colin Macdonald

Last modified: 2014-06-09


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.