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The stability of the four-step alternating direction implicit finite-difference time-domain (ADI-FDTD) method including lumped capacitors is studied. In particular, the implicit different formulation for the lumped capacitor is analyzed. Then, its unconditional stability is analytically proven by the von Neumann method. Finally, its unconditional stability is verified through numerical experiments.
A three-step locally one-dimensional finite-difference time-domain (LOD-FDTD) method including lumped resistors is presented. In particular, the semi-implicit different formulation for the lumped resistor is analyzed. Then, the numerical stability of the extended three-step LOD-FDTD method including lumped resistors is analyzed by combining the von Neumann method with the Jury criterion, and the results...
The stability of the six-stage split-step finite-difference time-domain (SS-FDTD) method including lumped capacitors is studied. In particular, the implicit different formulation for the lumped capacitor is analyzed. Then, its unconditional stability is analytically proven by combining the von Neumann method with the Jury criterion. Finally, its unconditional stability is verified through numerical...
A compact fourth-order four-stages split-step finite-difference time-domain (SS4-FDTD) method is developed, that achieves higher computation efficiency than the previous original fourth-order SS4-FDTD by reducing the band-width of the system involved. From the stability and dispersion analysis, it can be concluded that the compact fourth-order SS4-FDTD method is also unconditionally-stable and has...
Stability of the extended three-dimensional locally one-dimensional finite difference time domain (LOD-FDTD) including lumped elements is analyzed in this paper, and three common elements are investigated: resistor, capacitor, and inductor. The elements are inserted into the LOD-FDTD in the explicit, semi-implicit and implicit schemes. Stability analysis shows that the extended LOD-FDTD methods are...
An unconditionally-stable four-stages split-step nearly perfectly matched layer (PML) algorithm is presented for modeling open region finite-difference time-domain (FDTD) applications. The algorithm is based on incorporating the split-step scheme into the nearly PML approach. In the proposed method, symmetric operator and uniform splitting are adopted simultaneously to split the matrix derived from...
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