On the efficiency of the maximum cross section method in radiation transport theory
We consider two versions of the maximum cross section method for the solutions of the stationary equation of radiative transfer in dimensional inhomogeneous medium. Both are based on the application Monte-Carlo method to the summation of the Neumann series for the solution transport equation. First...
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Institute of Computer Science
2013-08-01
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| Series: | Компьютерные исследования и моделирование |
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| Online Access: | http://crm.ics.org.ru/uploads/crmissues/crm_2013_4/13406.pdf |
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doaj-2910f047cec0490c910dd38386e07b032020-11-24T21:30:42ZrusInstitute of Computer ScienceКомпьютерные исследования и моделирование2076-76332077-68532013-08-015457358210.20537/2076-7633-2013-5-4-573-5822066On the efficiency of the maximum cross section method in radiation transport theoryIgor Vasilievich ProkhorovAnton Sergeevich ZhuplevWe consider two versions of the maximum cross section method for the solutions of the stationary equation of radiative transfer in dimensional inhomogeneous medium. Both are based on the application Monte-Carlo method to the summation of the Neumann series for the solution transport equation. First modification is traditional and second is based on the use of branching Markov chains. We carried out numerical comparison of these algorithms.http://crm.ics.org.ru/uploads/crmissues/crm_2013_4/13406.pdfradiation transfer equationMonte-Carlo algorithmsmaximum cross section method |
| collection |
DOAJ |
| language |
Russian |
| format |
Article |
| sources |
DOAJ |
| author |
Igor Vasilievich Prokhorov Anton Sergeevich Zhuplev |
| spellingShingle |
Igor Vasilievich Prokhorov Anton Sergeevich Zhuplev On the efficiency of the maximum cross section method in radiation transport theory Компьютерные исследования и моделирование radiation transfer equation Monte-Carlo algorithms maximum cross section method |
| author_facet |
Igor Vasilievich Prokhorov Anton Sergeevich Zhuplev |
| author_sort |
Igor Vasilievich Prokhorov |
| title |
On the efficiency of the maximum cross section method in radiation transport theory |
| title_short |
On the efficiency of the maximum cross section method in radiation transport theory |
| title_full |
On the efficiency of the maximum cross section method in radiation transport theory |
| title_fullStr |
On the efficiency of the maximum cross section method in radiation transport theory |
| title_full_unstemmed |
On the efficiency of the maximum cross section method in radiation transport theory |
| title_sort |
on the efficiency of the maximum cross section method in radiation transport theory |
| publisher |
Institute of Computer Science |
| series |
Компьютерные исследования и моделирование |
| issn |
2076-7633 2077-6853 |
| publishDate |
2013-08-01 |
| description |
We consider two versions of the maximum cross section method for the solutions of the stationary equation of radiative transfer in dimensional inhomogeneous medium. Both are based on the application Monte-Carlo method to the summation of the Neumann series for the solution transport equation. First modification is traditional and second is based on the use of branching Markov chains. We carried out numerical comparison of these algorithms. |
| topic |
radiation transfer equation Monte-Carlo algorithms maximum cross section method |
| url |
http://crm.ics.org.ru/uploads/crmissues/crm_2013_4/13406.pdf |
| work_keys_str_mv |
AT igorvasilievichprokhorov ontheefficiencyofthemaximumcrosssectionmethodinradiationtransporttheory AT antonsergeevichzhuplev ontheefficiencyofthemaximumcrosssectionmethodinradiationtransporttheory |
| _version_ |
1725962203908014080 |