Numerical solution of an integral equation from point process theory
MetadataShow full item record
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.
Showing items related by title, author, creator and subject.
Validation of two Framingham cardiovascular risk prediction algorithms in an Australian population: The 'old' versus the 'new' Framingham equationZomer, 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 well-established and widely used. In February 2008, ...
Comparison of predictive performance of renal function estimation equations for all-cause and cardiovascular mortality in an elderly hypertensive populationChowdhury, 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 (CKD-EPI) are 2 equations commonly used to estimate glomerular filtration rate (eGFR). The predictive ...
Numerical Solution of Second-Order Linear Fredholm Integro-Differential Equation Using Generalized Minimal Residual MethodAruchunan, Elayaraja; Sulaiman, J. (2010)This research purposely brought up to solve complicated equations such as partial differential equations, integral equations, Integro-Differential Equations (IDE), stochastic equations and others. Many physical phenomena ...