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- Giving to Math

Event Type:

Applied Mathematics and Computation Seminar

Date/Time:

Friday, May 15, 2015 - 12:00 to 13:00

Location:

GLK 113

Event Link:

Guest Speaker:

Putta Sakkaplangkul

Institution:

Mathematics Graduate Student

Abstract:

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.