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
2014Collection
Type
Journal Article
Metadata
Show full item recordAbstract
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
Department
Department of Mathematics and Statistics
Related items
Showing items related by title, author, creator and subject.

Zomer, E.; Owen, A.; Magliano, D.; Liew, D.; Reid, Christopher (2011)Background: Multivariable risk prediction equations attempt to quantify an individual's cardiovascular risk. Those borne from the Framingham Heart Study remain the most wellestablished and widely used. In February 2008, ...

Chowdhury, E.; Langham, R.; Owen, A.; Krum, H.; Wing, L.; Nelson, M.; Reid, Christopher; Second Australian National Blood Pressure Study Management Committeem (2015)BACKGROUND: The Modifications of Diet in Renal Disease (MDRD) and Chronic Kidney Disease Epidemiology Collaboration (CKDEPI) are 2 equations commonly used to estimate glomerular filtration rate (eGFR). The predictive ...

Aruchunan, Elayaraja; Sulaiman, J. (2010)This research purposely brought up to solve complicated equations such as partial differential equations, integral equations, IntegroDifferential Equations (IDE), stochastic equations and others. Many physical phenomena ...