{"title":"矢量插值法实现Voigt/复误差函数的单域实现","authors":"S. Abrarov, B. Quine, R. Siddiqui, R. Jagpal","doi":"10.5539/esr.v8n2p52","DOIUrl":null,"url":null,"abstract":"In this work we show how to perform a rapid computation of the Voigt/complex error over a single domain by vectorized interpolation. This approach enables us to cover the entire set of the parameters x,y ∈ \\mathbb{R} required for the HITRAN-based spectroscopic applications. The computational test reveals that within domains x ∈ [0,15] ∩y ∈ [10^{-8},15] and x ∈ [0,50000] ∩ y ≥ 10^{-8} our algorithmic implementation is faster in computation by factors of about 8 and 3, respectively, as compared to the fastest known C/C++ code for the Voigt/complex error function. A rapid MATLAB code is presented.","PeriodicalId":11486,"journal":{"name":"Earth Science Research","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2019-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"A Single-Domain Implementation of the Voigt/Complex Error Function by Vectorized Interpolation\",\"authors\":\"S. Abrarov, B. Quine, R. Siddiqui, R. Jagpal\",\"doi\":\"10.5539/esr.v8n2p52\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work we show how to perform a rapid computation of the Voigt/complex error over a single domain by vectorized interpolation. This approach enables us to cover the entire set of the parameters x,y ∈ \\\\mathbb{R} required for the HITRAN-based spectroscopic applications. The computational test reveals that within domains x ∈ [0,15] ∩y ∈ [10^{-8},15] and x ∈ [0,50000] ∩ y ≥ 10^{-8} our algorithmic implementation is faster in computation by factors of about 8 and 3, respectively, as compared to the fastest known C/C++ code for the Voigt/complex error function. A rapid MATLAB code is presented.\",\"PeriodicalId\":11486,\"journal\":{\"name\":\"Earth Science Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-05-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Earth Science Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5539/esr.v8n2p52\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Earth Science Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5539/esr.v8n2p52","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Single-Domain Implementation of the Voigt/Complex Error Function by Vectorized Interpolation
In this work we show how to perform a rapid computation of the Voigt/complex error over a single domain by vectorized interpolation. This approach enables us to cover the entire set of the parameters x,y ∈ \mathbb{R} required for the HITRAN-based spectroscopic applications. The computational test reveals that within domains x ∈ [0,15] ∩y ∈ [10^{-8},15] and x ∈ [0,50000] ∩ y ≥ 10^{-8} our algorithmic implementation is faster in computation by factors of about 8 and 3, respectively, as compared to the fastest known C/C++ code for the Voigt/complex error function. A rapid MATLAB code is presented.
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