{"title":"散射与产生本征频率附近非线性层计算的数值特性","authors":"L. Angermann, V. Yatsyk, M. V. Yatsyk","doi":"10.1109/DIPED.2018.8543301","DOIUrl":null,"url":null,"abstract":"A mathematical model and computational specifics of the properties of resonant scattering and generation of waves by a nonlinear layered object are presented. Estimates of the matrix condition numbers allow to evaluate the degeneracy of the matrices of the induced spectral problems and the sensitivity of the algorithm with respect to errors.","PeriodicalId":146873,"journal":{"name":"2018 XXIIIrd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED)","volume":"19 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Numerical Specifics in Nonlinear Layer Computation Near Eigen Frequencies of Scattering and Generation\",\"authors\":\"L. Angermann, V. Yatsyk, M. V. Yatsyk\",\"doi\":\"10.1109/DIPED.2018.8543301\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A mathematical model and computational specifics of the properties of resonant scattering and generation of waves by a nonlinear layered object are presented. Estimates of the matrix condition numbers allow to evaluate the degeneracy of the matrices of the induced spectral problems and the sensitivity of the algorithm with respect to errors.\",\"PeriodicalId\":146873,\"journal\":{\"name\":\"2018 XXIIIrd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED)\",\"volume\":\"19 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 XXIIIrd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DIPED.2018.8543301\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 XXIIIrd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DIPED.2018.8543301","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Numerical Specifics in Nonlinear Layer Computation Near Eigen Frequencies of Scattering and Generation
A mathematical model and computational specifics of the properties of resonant scattering and generation of waves by a nonlinear layered object are presented. Estimates of the matrix condition numbers allow to evaluate the degeneracy of the matrices of the induced spectral problems and the sensitivity of the algorithm with respect to errors.
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