| 具反射边界条件的迁移方程临界解的离散纵标逼近 |
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| 引用本文： | 汪文珑,万贻明.具反射边界条件的迁移方程临界解的离散纵标逼近[J].上饶师范学院学报,1996(6). |
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| 作者姓名： | 汪文珑 万贻明 |
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| 作者单位： | 上饶师专数学系，上饶地区电视大学 |
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| 基金项目： | 国家自然科学基金,江西省自然科学基金 |
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| 摘 要： | 研究一类非均匀介质、具反射边界条件的平板几何迁移系统临界解的离散纵标逼近理论。以泛函分析为工具，使用Ｂａｎａｃｈ空间上的总体列紧算子理论，证明了近似计算临界板厚度以及相应的非负临界解的离散纵标方法的收敛性。
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| 关 键 词： | 临界解 离散纵标法 总体列紧算子 半非支柱算子 |
Approximation of the discrete ordinate method for the critical solution of transport equation with reflecting boundary conditions |
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| Wang Wenlong.Approximation of the discrete ordinate method for the critical solution of transport equation with reflecting boundary conditions[J].Journal of Shangrao Normal College,1996(6). |
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| Authors: | Wang Wenlong |
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| Institution: | Wang Wenlong(Department of Mathematics; Shangrao Teacher's college; Shangrao; 334001)Wan Yimin(Shangao Television University; Shangrao: 334001) |
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| Abstract: | It is investigated that approximation of the discrete ordinate method for transport system in a slab geometry with non-uniform medium and reflecting boundary conditions. It is proved that convergence of discrete ordinate method tO approximately calculate critical thickness of slab and corresponding non-negative eignefunction, by using collectively compact operator theory in Banach spaces. |
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| Keywords: | critical solution: discrete ordinate method collectively compact operator seminonsupporting operator |
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