Numerical solution of an integral equation from point process theory
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, PoissonBoltzmann 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.
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. 437453.
Source Title
Journal of Integral Equations and Applications
ISSN
School
Department of Mathematics and Statistics
Collection
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