{"title":"通过多导数指数拟合格式的Schrödinger型方程的有效数值逼近","authors":"G. Psihoyios, T. E. Simos","doi":"10.1002/anac.200310017","DOIUrl":null,"url":null,"abstract":"<p>In this paper an exponentially-fitted multiderivative method is developed for the numerical integration of the Schrödinger equation. We call the method multi-derivative since it uses derivatives of orders two and four. An application to the resonance problem of the radial Schrödinger equation indicates that the new method is more efficient than the Numerov method and other known methods found in the literature. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)</p>","PeriodicalId":100108,"journal":{"name":"Applied Numerical Analysis & Computational Mathematics","volume":"1 1","pages":"205-215"},"PeriodicalIF":0.0000,"publicationDate":"2004-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/anac.200310017","citationCount":"24","resultStr":"{\"title\":\"Effective Numerical Approximation of Schrödinger type Equations through Multiderivative Exponentially-fitted Schemes\",\"authors\":\"G. Psihoyios, T. E. Simos\",\"doi\":\"10.1002/anac.200310017\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper an exponentially-fitted multiderivative method is developed for the numerical integration of the Schrödinger equation. We call the method multi-derivative since it uses derivatives of orders two and four. An application to the resonance problem of the radial Schrödinger equation indicates that the new method is more efficient than the Numerov method and other known methods found in the literature. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)</p>\",\"PeriodicalId\":100108,\"journal\":{\"name\":\"Applied Numerical Analysis & Computational Mathematics\",\"volume\":\"1 1\",\"pages\":\"205-215\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-03-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1002/anac.200310017\",\"citationCount\":\"24\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Numerical Analysis & Computational Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/anac.200310017\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Numerical Analysis & Computational Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/anac.200310017","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 24
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