{"title":"拉普拉斯变换的数值反演性能","authors":"Fausto Arinos De Almeida Barbuto","doi":"10.1016/0961-3552(91)90006-P","DOIUrl":null,"url":null,"abstract":"<div><p>The Laplace transformation is one of the most powerful tools in mathematics. However, the analytical inversion of a function in the Laplace field to the real field may sometimes be very difficult, or impossible. In 1970, Stehfest presented an algorithm to invert numerically these Laplace-field functions. The purpose of this work is to discuss the performance of this algorithm, and present a Turbo Pascal 5.0 program to perform numerical inversions of Laplace-field functions.</p></div>","PeriodicalId":100044,"journal":{"name":"Advances in Engineering Software and Workstations","volume":"13 3","pages":"Pages 148-155"},"PeriodicalIF":0.0000,"publicationDate":"1991-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0961-3552(91)90006-P","citationCount":"5","resultStr":"{\"title\":\"Performance of numerical inversion of Laplace transforms\",\"authors\":\"Fausto Arinos De Almeida Barbuto\",\"doi\":\"10.1016/0961-3552(91)90006-P\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The Laplace transformation is one of the most powerful tools in mathematics. However, the analytical inversion of a function in the Laplace field to the real field may sometimes be very difficult, or impossible. In 1970, Stehfest presented an algorithm to invert numerically these Laplace-field functions. The purpose of this work is to discuss the performance of this algorithm, and present a Turbo Pascal 5.0 program to perform numerical inversions of Laplace-field functions.</p></div>\",\"PeriodicalId\":100044,\"journal\":{\"name\":\"Advances in Engineering Software and Workstations\",\"volume\":\"13 3\",\"pages\":\"Pages 148-155\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1991-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0961-3552(91)90006-P\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Engineering Software and Workstations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/096135529190006P\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Engineering Software and Workstations","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/096135529190006P","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Performance of numerical inversion of Laplace transforms
The Laplace transformation is one of the most powerful tools in mathematics. However, the analytical inversion of a function in the Laplace field to the real field may sometimes be very difficult, or impossible. In 1970, Stehfest presented an algorithm to invert numerically these Laplace-field functions. The purpose of this work is to discuss the performance of this algorithm, and present a Turbo Pascal 5.0 program to perform numerical inversions of Laplace-field functions.
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