Discontinuous Galerkin Time-Stepping

Speaker: 

Bill McLean

Affiliation: 

School of Mathematics and Statistics, UNSW

Date: 

Thu, 18/04/2019 - 11:05am

Venue: 

RC-4082, The Red Centre, UNSW

Abstract: 

This talk is an overview of the discontinous Galerkin (DG) method as a time-stepping procedure for classical and fractional diffusion problems. After motivating the definition of the procedure, I outline its implementation and then illustrate key properties with simple, scalar ODEs and fractional ODEs.  I then describe results for classical and fractional diffusion problems in 1D, and sketch an explanation for the observed superconvergence behaviour.

Bill McLean is an Associate Professor in the School of Mathematics and Statistics at UNSW. His research interests centre on numerical analysis for partial differential equations, and in particular on nonlocal evolution equations.
 

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