Numerical solution of an integral equation from point process theory
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 appro...
| Main Authors: | , , , |
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| Format: | Journal Article |
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Rocky Mountain Mathematics Consortium
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/17486 |
| _version_ | 1848749479172243456 |
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| author | Anderssen, R. Baddeley, Adrian de Hoog, F. Nair, G. |
| author_facet | Anderssen, R. Baddeley, Adrian de Hoog, F. Nair, G. |
| author_sort | Anderssen, R. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T07:21:35Z |
| format | Journal Article |
| id | curtin-20.500.11937-17486 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:21:35Z |
| publishDate | 2014 |
| publisher | Rocky Mountain Mathematics Consortium |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-174862017-09-13T15:43:55Z Numerical solution of an integral equation from point process theory Anderssen, R. Baddeley, Adrian de Hoog, F. Nair, G. 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. 2014 Journal Article http://hdl.handle.net/20.500.11937/17486 10.1216/JIE-2014-26-4-437 Rocky Mountain Mathematics Consortium restricted |
| spellingShingle | Anderssen, R. Baddeley, Adrian de Hoog, F. Nair, G. Numerical solution of an integral equation from point process theory |
| title | Numerical solution of an integral equation from point process theory |
| title_full | Numerical solution of an integral equation from point process theory |
| title_fullStr | Numerical solution of an integral equation from point process theory |
| title_full_unstemmed | Numerical solution of an integral equation from point process theory |
| title_short | Numerical solution of an integral equation from point process theory |
| title_sort | numerical solution of an integral equation from point process theory |
| url | http://hdl.handle.net/20.500.11937/17486 |