Simple numerical techniques for reaction-diffusion on general geometry
Last modified: 2014-06-09
Abstract
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.
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.