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    Numerical solution of an integral equation from point process theory

    Access Status
    Fulltext not available
    Authors
    Anderssen, R.
    Baddeley, Adrian
    de Hoog, F.
    Nair, G.
    Date
    2014
    Type
    Journal Article
    
    Metadata
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    Citation
    Anderssen, R. and Baddeley, A. and de Hoog, F. and Nair, G. 2014. Numerical solution of an integral equation from point process theory. Journal of Integral Equations and Applications. 26 (4): pp. 437-453.
    Source Title
    Journal of Integral Equations and Applications
    DOI
    10.1216/JIE-2014-26-4-437
    ISSN
    0897-3962
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/17486
    Collection
    • Curtin Research Publications
    Abstract

    We propose and analyze methods for the numerical solution of an integral equation which arises in statistical physics and spatial statistics. Instances of this equation include the Mean Field, Poisson-Boltzmann and Emden equations for the density of a molecular gas, and the Poisson saddlepoint approximation for the intensity of a spatial point process. Conditions are established under which the Picard iteration and the under relaxation iteration converge. Numerical validation is included.

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