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Because the mathematical analysis of time domain integral equations is fraught with difficulty, researchers are often forced to use experimental means to characterize the stability of their approaches. The difficulty inherent in this approach is that the variables affecting the success or failure of an experiment necessarily depend on a computer implementation of potentially hundreds of thousands...
Because the analysis of the time domain integral equations of electromagnetics is complicated and cannot easily take into account all sources of error in any given implementation, judgements of stability tend to rest on experience. While such an approach eliminates the worst methods immediately, subtle implementation issues may affect the stability of more promising approaches. In this work, we examine...
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