%0 Journal Article
%T QUADRATIC COLLISION PROBABILISTIC METHOD AND IMPORTANCE SAMPLING METHOD OF MONTE CARLO CALCULATION FOR FLUX AT A POINT<br>蒙特卡罗计算点通量的二次碰撞概率方法和重要抽样方法
%A 裴鹿成
%J 计算数学
%D 1980
%I 
%X The unbounded estimate is one of the troublesome problems in Monte Carlomethod. Particularly, in the calculation for flux at a point, the estimate may approach infinite.In this paper, a collision probabilistic method of Monte Carlo calculation for flux at a point isproposed, and on this basis two kinds of methods of bounded estimation are presented:quadraticcollision probabilistic method and importance sampling method. The former method is simpleand easy to use, whereas the latter is suitable to calculate simultaneously the point flux on everypoints. The practical calculation by examples indicates that by use of the present methods, thevariance can be reduced by about 1 times and the efficiency can be increased by 2 to 4 timesin comparison with the best of the existing methods.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=F699C2A06679AA35&yid=E56875464B1C0EC1&vid=0B39A22176CE99FB&iid=38B194292C032A66&sid=4D7D059FFBF006B9&eid=DC330B09A33F1455&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=0