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 tha...
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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.
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