Truncation Error Analysis of a Pre-Asymptotic Higher-Order Finite Difference Scheme for Maxwell's Equations

摘要

Pre-asymptotic higher-order methods are useful to the mitigation of numerical dispersion error in large-scale Finite-Difference Time-Domain (FDTD) simulations. Its truncation error is shown in this study to be O(Delta t(2))+O(Delta s(2)) in general. In the limiting case where the CourantFriedrichs-Levy number approaches to zero, it becomes O(Delta t(2))+O(Delta s(4)).