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Colin B. Macdonald
UBC Mathematics
Fri 16 Oct 2015, 3:00pm
Department Colloquium
MATX 1100
Numerical Computation on Curved Surfaces
MATX 1100
Fri 16 Oct 2015, 3:00pm-4:00pm


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.