Event Detail

Event Type: 
Applied Mathematics and Computation Seminar
Friday, May 15, 2015 - 12:00 to 13:00
GLK 113

Speaker Info

Mathematics Graduate Student

In this talk, we present the Weighted Sequential Splitting (WSS) finite difference time-domain
method for Maxwell’s equation in three dimensions. In one time step, the WSS scheme consists
of several substages each of which involves the solutions of a 1D Maxwell system. At the end
of a time step we take a weighted average of solutions of different substages with a weight
parameter θ, 0 ≤ θ ≤ 1. We prove that the WSS scheme is an unconditionally stable scheme and
the order of accuracy is of the first order in time when θ = 0.5 and of the second order when
θ = 0.5. We prove the convergence of the method for all values of the weight parameter θ and provide error
estimates. Furthermore, numerical experiments will be presented that illustrate our theoretical results.