{"title":"无源偏微分方程多维波数字建模的模块化方法","authors":"Christiane Leuer, K. Ochs","doi":"10.1109/MWSCAS.2010.5548837","DOIUrl":null,"url":null,"abstract":"In order to emulate a passive physical system with the wave digital concept, one has to find a reference circuit that is not only internally multidimensionally passive, but also suited for an element-wise transfer into a realizable and efficient wave digital structure. We present a modular approach that systemizes the derivation of an optimized reference circuit for a special class of linear hyperbolic PDEs. As an illustrative example, we deduce a wave digital structure for Navier's equation from linear elastodynamics.","PeriodicalId":245322,"journal":{"name":"2010 53rd IEEE International Midwest Symposium on Circuits and Systems","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A modular approach to multidimensional wave digital modeling of passive PDEs\",\"authors\":\"Christiane Leuer, K. Ochs\",\"doi\":\"10.1109/MWSCAS.2010.5548837\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In order to emulate a passive physical system with the wave digital concept, one has to find a reference circuit that is not only internally multidimensionally passive, but also suited for an element-wise transfer into a realizable and efficient wave digital structure. We present a modular approach that systemizes the derivation of an optimized reference circuit for a special class of linear hyperbolic PDEs. As an illustrative example, we deduce a wave digital structure for Navier's equation from linear elastodynamics.\",\"PeriodicalId\":245322,\"journal\":{\"name\":\"2010 53rd IEEE International Midwest Symposium on Circuits and Systems\",\"volume\":\"10 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-08-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 53rd IEEE International Midwest Symposium on Circuits and Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MWSCAS.2010.5548837\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 53rd IEEE International Midwest Symposium on Circuits and Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MWSCAS.2010.5548837","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A modular approach to multidimensional wave digital modeling of passive PDEs
In order to emulate a passive physical system with the wave digital concept, one has to find a reference circuit that is not only internally multidimensionally passive, but also suited for an element-wise transfer into a realizable and efficient wave digital structure. We present a modular approach that systemizes the derivation of an optimized reference circuit for a special class of linear hyperbolic PDEs. As an illustrative example, we deduce a wave digital structure for Navier's equation from linear elastodynamics.
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