Hongliang Li

Sharp CFL stability and temporal-dispersion optimization of symmetric splitting schemes for time-domain Maxwell equations

We analyze coefficient design in a one-parameter family of explicit palindromic electric--magnetic splittings for the time-domain Maxwell equations. After fourth-order staggered spatial discretization, the Fourier amplification matrix depends on the single scalar $g_2=a(1-2a)/2$. We prove that $a=1/4$ is the unique rea...