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Closed-form approximations to the Error and Complementary Error Functions and their applications in atmospheric science.

Ren, Chuansen and MacKenzie, Rob (2007) Closed-form approximations to the Error and Complementary Error Functions and their applications in atmospheric science. Atmospheric Science Letters, 8 (3). pp. 70-73. ISSN 1530-261X

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    Abstract

    The Error function, and related functions, occurs in theoretical aspects of many parts of atmospheric science. This note presents a closed-form approximation for the error, complementary error, and scaled complementary error functions, with maximum relative errors within 0.8%. Unlike other approximate solutions, this single equation gives answers within the stated accuracy for x between 0 and infinity . The approximation is very useful in solving atmospheric science problems by providing analytical solutions. Examples of the utility of the approximations are: the computation of cirrus cloud physics inside a general circulation model, the cumulative distribution functions of normal and log-normal distributions, and the recurrence period for risk assessment.

    Item Type: Article
    Journal or Publication Title: Atmospheric Science Letters
    Additional Information: This is a pre-print of an article published in Atmospheric Science Letters, 8 (3), 2007. (c) Wiley.
    Uncontrolled Keywords: Error function ; complementary error function ; scaled complementary error function ; normal distribution ; log-normal distribution ; cumulative distribution function ; recurrence interval
    Subjects: G Geography. Anthropology. Recreation > GE Environmental Sciences
    Departments: Faculty of Science and Technology > Lancaster Environment Centre
    ID Code: 596
    Deposited By: Dr Rob MacKenzie
    Deposited On: 31 Jul 2007
    Refereed?: Yes
    Published?: Published
    Last Modified: 26 Jul 2012 18:14
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/596

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