{"title":"常微分方程的广义拉盖尔谱法","authors":"Xiao-yong Zhang, Yan Li","doi":"10.1109/CSO.2011.139","DOIUrl":null,"url":null,"abstract":"In this paper, we propose generalized Laguerre spectral method for two order ordinary differential equation base on modified generalized Laguerre approximation, which are very efficient for long time numerical simulations of dynamical systems. The global convergence of proposed algorithms are proved. Numerical results demonstrate the spectral accuracy of these new approaches and coincide well with theoretical analysis.","PeriodicalId":210815,"journal":{"name":"2011 Fourth International Joint Conference on Computational Sciences and Optimization","volume":"156 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Generalized Laguerre Spectral Method for Ordinary Differential Equation\",\"authors\":\"Xiao-yong Zhang, Yan Li\",\"doi\":\"10.1109/CSO.2011.139\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we propose generalized Laguerre spectral method for two order ordinary differential equation base on modified generalized Laguerre approximation, which are very efficient for long time numerical simulations of dynamical systems. The global convergence of proposed algorithms are proved. Numerical results demonstrate the spectral accuracy of these new approaches and coincide well with theoretical analysis.\",\"PeriodicalId\":210815,\"journal\":{\"name\":\"2011 Fourth International Joint Conference on Computational Sciences and Optimization\",\"volume\":\"156 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-04-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 Fourth International Joint Conference on Computational Sciences and Optimization\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CSO.2011.139\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 Fourth International Joint Conference on Computational Sciences and Optimization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CSO.2011.139","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Generalized Laguerre Spectral Method for Ordinary Differential Equation
In this paper, we propose generalized Laguerre spectral method for two order ordinary differential equation base on modified generalized Laguerre approximation, which are very efficient for long time numerical simulations of dynamical systems. The global convergence of proposed algorithms are proved. Numerical results demonstrate the spectral accuracy of these new approaches and coincide well with theoretical analysis.
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