{"title":"线性耗散振荡器的逆时尺度拉格朗日直接变分解","authors":"V. M. Fatic","doi":"10.1109/MWSCAS.1991.252041","DOIUrl":null,"url":null,"abstract":"A new Lagrangian with reverse time scales is used for direct variational approximation of the solution of a linear dissipative oscillator. Very accurate global approximations are obtained by polynomial test functions of low order. The main goal of the present work is to verify a novel method for variational formulation of dissipative systems. It is. concluded that the new Lagrangian is not only correct, but is also a reliable tool for direct variational solutions of both boundary-value and initial-value problems.<<ETX>>","PeriodicalId":6453,"journal":{"name":"[1991] Proceedings of the 34th Midwest Symposium on Circuits and Systems","volume":"157 1","pages":"295-298 vol.1"},"PeriodicalIF":0.0000,"publicationDate":"1991-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Direct variational solutions for linear dissipative oscillator using Lagrangian with reverse time scales\",\"authors\":\"V. M. Fatic\",\"doi\":\"10.1109/MWSCAS.1991.252041\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A new Lagrangian with reverse time scales is used for direct variational approximation of the solution of a linear dissipative oscillator. Very accurate global approximations are obtained by polynomial test functions of low order. The main goal of the present work is to verify a novel method for variational formulation of dissipative systems. It is. concluded that the new Lagrangian is not only correct, but is also a reliable tool for direct variational solutions of both boundary-value and initial-value problems.<<ETX>>\",\"PeriodicalId\":6453,\"journal\":{\"name\":\"[1991] Proceedings of the 34th Midwest Symposium on Circuits and Systems\",\"volume\":\"157 1\",\"pages\":\"295-298 vol.1\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1991-05-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[1991] Proceedings of the 34th Midwest Symposium on Circuits and Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MWSCAS.1991.252041\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1991] Proceedings of the 34th Midwest Symposium on Circuits and Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MWSCAS.1991.252041","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Direct variational solutions for linear dissipative oscillator using Lagrangian with reverse time scales
A new Lagrangian with reverse time scales is used for direct variational approximation of the solution of a linear dissipative oscillator. Very accurate global approximations are obtained by polynomial test functions of low order. The main goal of the present work is to verify a novel method for variational formulation of dissipative systems. It is. concluded that the new Lagrangian is not only correct, but is also a reliable tool for direct variational solutions of both boundary-value and initial-value problems.<>
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