Speaker: Prof. Lili Ju, University of South Carolina

Time: Dec. 25, 4-5pm

Venue: Room 29 at Quan Zhai, BICMR

Abstract: In this talk, we present a numerical method and its fast implementation for the solution of a wide class of semilinear parabolic equations including the Allen-Cahn equation as a special case. The method combines efficient decompositions of spatial difference operators on a regular mesh with stable and accurate exponential time integrators. It can deal with stiff nonlinearity and both homogeneous and inhomogeneous boundary conditions of different types. Numerical experiments demonstrate effectiveness of the new approach for both linear and nonlinear model problems.