The numerical computation of the Voigt function by a corrected midpoint quadrature rule for \(( -\infty{}, \infty{})\) (Q1173849)
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scientific article; zbMATH DE number 7586
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The numerical computation of the Voigt function by a corrected midpoint quadrature rule for \(( -\infty{}, \infty{})\) |
scientific article; zbMATH DE number 7586 |
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The numerical computation of the Voigt function by a corrected midpoint quadrature rule for \(( -\infty{}, \infty{})\) (English)
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25 June 1992
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This paper presents a method for computing the Voigt function \[ v(x,z)={y\over \pi}\int^ \infty_{-\infty}{e^{-\lambda^ 2}\over (x-\lambda)^ 2+y^ 2}d\lambda \] through the application of a midpoint quadrature rule that has been corrected to accurately integrate a certain class of meromorphic functions. An informal pseudocoe statement of an algorithm for computing \(v(x,y)\) to a specified absolute error \(\varepsilon\) is also given.
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Voigt function
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midpoint quadrature rule
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algorithm
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