{"title":"基于部分反演的二维拉普拉斯变换数值反演","authors":"L. Brancík","doi":"10.1109/RADIOELEK.2007.371455","DOIUrl":null,"url":null,"abstract":"The paper deals with a technique for numerical inversion of two-dimensional Laplace transforms based on the FFT & IFFT in conjunction with a quotient-difference algorithm of Rutishauser. In contrast to the existing FFT-based technique the presented one is based on a repeated application of one-dimensional partial Laplace transform inversions. The method promises a generalization towards multidimensional numerical inverse Laplace transforms because it establishes more effective unified algorithmic approach to a computation. The method was programmed using Matlab language and analyzed as for its accuracy.","PeriodicalId":446406,"journal":{"name":"2007 17th International Conference Radioelektronika","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"17","resultStr":"{\"title\":\"Numerical Inversion of Two-Dimensional Laplace Transforms Based on Partial Inversions\",\"authors\":\"L. Brancík\",\"doi\":\"10.1109/RADIOELEK.2007.371455\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper deals with a technique for numerical inversion of two-dimensional Laplace transforms based on the FFT & IFFT in conjunction with a quotient-difference algorithm of Rutishauser. In contrast to the existing FFT-based technique the presented one is based on a repeated application of one-dimensional partial Laplace transform inversions. The method promises a generalization towards multidimensional numerical inverse Laplace transforms because it establishes more effective unified algorithmic approach to a computation. The method was programmed using Matlab language and analyzed as for its accuracy.\",\"PeriodicalId\":446406,\"journal\":{\"name\":\"2007 17th International Conference Radioelektronika\",\"volume\":\"22 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-04-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"17\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2007 17th International Conference Radioelektronika\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/RADIOELEK.2007.371455\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 17th International Conference Radioelektronika","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/RADIOELEK.2007.371455","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Numerical Inversion of Two-Dimensional Laplace Transforms Based on Partial Inversions
The paper deals with a technique for numerical inversion of two-dimensional Laplace transforms based on the FFT & IFFT in conjunction with a quotient-difference algorithm of Rutishauser. In contrast to the existing FFT-based technique the presented one is based on a repeated application of one-dimensional partial Laplace transform inversions. The method promises a generalization towards multidimensional numerical inverse Laplace transforms because it establishes more effective unified algorithmic approach to a computation. The method was programmed using Matlab language and analyzed as for its accuracy.
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