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Numerical study of a family of IMEX-DGTD methods for the 3D time-domain Maxwell's equations

In this work, a new family of implicit-explicit (IMEX) schemes based on exponential time integration is developed for the 3D time-domain Maxwell's equations discretized by a high order discontinuous Galerkin (DG) scheme formulated on locally refined unstructured meshes. Numerical experiments demonstrate that the DGTD solver based on the proposed time integration scheme can be much faster than the one based on classical low-storage Runge-Kutta scheme, with the same accuracy and slight memory usage increase.