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Some time-domain methods available for the solution of 3-D Maxwell's equations, including explicit methods such as the Yee-FDTD method, the Symplectic-FDTD method and the Turkel-FDTD method, and implicit methods such as the ADI-FDTD method, can be derived through different approximation schemes of the Exponential Evolution Operator (EEO) in Maxwell's equations. In addition, another new unconditionally...
At present, the research on high-order accurate finite-difference time-domain (FDTD) method for the solution of Maxwell's equations is very popular. For example, an explicit fourth-order staggered FDTD method is proposed recently. However, to find out all roots of high-order characteristic polynomial equation for stability analysis is a very difficult task. In this paper, the Jury test in automatic...
A three-dimensional hybrid implicit-explicit finite-difference time-domain (HIE-FDTD) method is recently proposed for the solution of three-dimensional Maxwell's equations. In this communication, its stability and numerical dispersion relation are derived and analyzed in detail. In order to evaluate its performance, the comparison between it and other two FDTD methods is made, i.e., the Yee-FDTD method...
In order to improve the performance of the numerical dispersion in the conventional Peaceman-Rachford ADI-FDTD (PR-ADI-FDTD) method, some perturbation items are introduced into the formulation of the PR-ADI-FDTD method. Based on it, a generalized Peaceman-Rachford ADI-FDTD (GPR-ADI-FDTD) method for solving 2-D Maxwell's equations is presented in this paper. Compared with the conventional PR-ADI-FDTD...
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