Fast Explicit Integration Factor Methods for Semilinear Parabolic Equations
主 题: Fast Explicit Integration Factor Methods for Semilinear Parabolic Equations
报告人: Prof. Lili Ju, University of South Carolina
时 间: 2013-12-25 16：00-17:00
地 点: Room 29 at Quan Zhai, BICMR（主持人：张磊）
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.