摘要
In this paper some common used numerical schemes for solving discrete ordinate equations are considered and the error estimates are studied for the combined spatial and angular approximations. The conclusions show that the error order of scalar flux in all of these schemes can not be second order even if the source term f is smooth enough. In addition, when we introduce a kind of graded grids, the simple step character scheme has same accuracy as "high order" ones.
In this paper some common used numerical schemes for solving discrete ordinate equations are considered and the error estimates are studied for the combined spatial and angular approximations. The conclusions show that the error order of scalar flux in all of these schemes can not be second order even if the source term f is smooth enough. In addition, when we introduce a kind of graded grids, the simple step character scheme has same accuracy as 'high order' ones.
出处
《计算数学》
CSCD
北大核心
2002年第2期219-228,共10页
Mathematica Numerica Sinica
基金
大规模科学与工程计算的方法和理论(G1999032801)
国家自然科学基金(19932010)
中国工程物理研究院基金资助
