IEEE Transactions on Antennas and Propagation · 2003 · 10 citations · 16 references
EngineeringComputational EngineeringElectrical EngineeringCircuit TheoryComputational ElectromagneticsElectromagneticsCurrent-voltage CharacteristicsDevice SimulationElectric CircuitsFinite Difference Time Domain AnalysisThin Wire AnalysisThin Wire ModelingVon Neumann Stability Analysis
The von Neumann analysis is applied to investigate the stability of a source connected on a wire described by a thin-wire model. Both a soft source and a resistive voltage source (RVS) are shown to limit the stable range of values for wire radius or time step. Using the von Neumann analysis, a stable RVS model for thin wires is developed. The proposed model is verified by comparison with a hard source, an original RVS and NEC-generated reference data. The stabilized RVS introduces no additional stability constraints on those of the wire model while maintaining fast decay of incident fields of the original RVS model.
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Difference Methods for Initial-Value Problems
E. I., Robert D. Richtmyer, K. W. Morton · Mathematics of Computation · 1968 · 3.4K citations
<i>Difference Methods for Initial-Value Problems</i>
Robert D. Richtmyer, E. H. Dill · Physics Today · 1959 · 3.2K citations · Full text