An improved algorithm for evaluation of the product of an exponential function with an error function complement

Some mathematical CAD packages are inadequate in computing the composite functions involving the product of an exponential function and an error function complement. These functions arise in physical applications, such as problems in diffusion. Their importance warrants a composite treatment. If the...

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Bibliographic Details
Published inMicroprocessing and microprogramming Vol. 41; no. 10; pp. 733 - 736
Main Authors Dewhurst, R.J., Shan, Q.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.06.1996
Subjects
Fast algorithms
Numerical calculations
Round-off errors
Round-off errors
Numerical calculations
Fast algorithms
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ISSN0165-6074
DOI10.1016/0165-6074(95)00026-7

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Summary:Some mathematical CAD packages are inadequate in computing the composite functions involving the product of an exponential function and an error function complement. These functions arise in physical applications, such as problems in diffusion. Their importance warrants a composite treatment. If their component factors are computed individually, discontinuities in the evaluations arises, as shown in some CAD packages. An improved algorithm is presented which overcomes this deficiency, and provides a fast evaluation. Such evaluation is successful even using floating point numbers with single precision. The potential for numerical overflow associated with large arguments has been overcome.
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ISSN:0165-6074
DOI:10.1016/0165-6074(95)00026-7