Numerical Computation on Curved Surfaces

03/14/2016 - 15:00
03/14/2016 - 16:00
Speaker: 
Colin B. Macdonald, Department of Mathematics, University of British Columbia
Location: 
Burnside Hall 920, McGill University
Abstract: 

 Despite the appearance sometimes given in textbooks, not all differential equations are posed on straight lines and rectangles. This talk will introduce some easy-to-use techniques for computing numerical solutions to partial differential equations (PDEs) posed on curved surfaces and other general domains. I will show some applications in thin-film flows, reaction-diffusion equations, bulk-surface coupling, point clouds, and image processing. The talk will also outline how a close encounter with instability improved our understanding and numerical analysis of these methods.

Last edited by on Thu, 03/10/2016 - 15:44