{"title":"一种用于RLC电路仿真的波形边界算法","authors":"Yaolin Jiang, Richard M. M. Chen, O. Wing","doi":"10.1109/ISCAS.2000.857471","DOIUrl":null,"url":null,"abstract":"A new waveform bounding algorithm to obtain an upper and lower waveform bound of the time response of a class of RLC circuits is presented. The algorithm produces a sequence of waveforms which converge to the true solution monotonically from above and below. The key step is the choice of the initial guess in the relaxation process. A new method to obtain an initial guess that guarantees monotonic convergence is given. Numerical examples are included to confirm the theoretical results.","PeriodicalId":6422,"journal":{"name":"2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)","volume":"6 1","pages":"461-464 vol.5"},"PeriodicalIF":0.0000,"publicationDate":"2000-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A waveform bounding algorithm for simulation of RLC circuits\",\"authors\":\"Yaolin Jiang, Richard M. M. Chen, O. Wing\",\"doi\":\"10.1109/ISCAS.2000.857471\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A new waveform bounding algorithm to obtain an upper and lower waveform bound of the time response of a class of RLC circuits is presented. The algorithm produces a sequence of waveforms which converge to the true solution monotonically from above and below. The key step is the choice of the initial guess in the relaxation process. A new method to obtain an initial guess that guarantees monotonic convergence is given. Numerical examples are included to confirm the theoretical results.\",\"PeriodicalId\":6422,\"journal\":{\"name\":\"2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)\",\"volume\":\"6 1\",\"pages\":\"461-464 vol.5\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-05-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISCAS.2000.857471\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISCAS.2000.857471","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A waveform bounding algorithm for simulation of RLC circuits
A new waveform bounding algorithm to obtain an upper and lower waveform bound of the time response of a class of RLC circuits is presented. The algorithm produces a sequence of waveforms which converge to the true solution monotonically from above and below. The key step is the choice of the initial guess in the relaxation process. A new method to obtain an initial guess that guarantees monotonic convergence is given. Numerical examples are included to confirm the theoretical results.
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