C. Mizuta, J. Iwai, K. Machida, T. Kage, H. Masuda
{"title":"具有反电感矩阵的大规模线性电路仿真","authors":"C. Mizuta, J. Iwai, K. Machida, T. Kage, H. Masuda","doi":"10.1109/ASPDAC.2004.1337628","DOIUrl":null,"url":null,"abstract":"We show that by using an inversed form of an inductance matrix, the current variables become no more necessary in a transient analysis. Furthermore we have invented a way to remove them even in a steady state analysis while preserving the same sparse matrix topology throughout the both analyses. The removal has brought about a sufficiently effective speed-up and stability of calculation. It opens a way to the accurate numerical verification of large-scale signal integrity as in a power grid of LSI.","PeriodicalId":426349,"journal":{"name":"ASP-DAC 2004: Asia and South Pacific Design Automation Conference 2004 (IEEE Cat. No.04EX753)","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Large-scale linear circuit simulation with an inversed inductance matrix\",\"authors\":\"C. Mizuta, J. Iwai, K. Machida, T. Kage, H. Masuda\",\"doi\":\"10.1109/ASPDAC.2004.1337628\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that by using an inversed form of an inductance matrix, the current variables become no more necessary in a transient analysis. Furthermore we have invented a way to remove them even in a steady state analysis while preserving the same sparse matrix topology throughout the both analyses. The removal has brought about a sufficiently effective speed-up and stability of calculation. It opens a way to the accurate numerical verification of large-scale signal integrity as in a power grid of LSI.\",\"PeriodicalId\":426349,\"journal\":{\"name\":\"ASP-DAC 2004: Asia and South Pacific Design Automation Conference 2004 (IEEE Cat. No.04EX753)\",\"volume\":\"10 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-01-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ASP-DAC 2004: Asia and South Pacific Design Automation Conference 2004 (IEEE Cat. No.04EX753)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ASPDAC.2004.1337628\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ASP-DAC 2004: Asia and South Pacific Design Automation Conference 2004 (IEEE Cat. No.04EX753)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ASPDAC.2004.1337628","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Large-scale linear circuit simulation with an inversed inductance matrix
We show that by using an inversed form of an inductance matrix, the current variables become no more necessary in a transient analysis. Furthermore we have invented a way to remove them even in a steady state analysis while preserving the same sparse matrix topology throughout the both analyses. The removal has brought about a sufficiently effective speed-up and stability of calculation. It opens a way to the accurate numerical verification of large-scale signal integrity as in a power grid of LSI.