| 有界凸体中一类临界方程的离散纵标逼近 |
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| 引用本文： | 汪文珑. 有界凸体中一类临界方程的离散纵标逼近[J]. 绍兴文理学院学报, 2006, 26(1): 6-9,16 |
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| 作者姓名： | 汪文珑 |
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| 作者单位： | 绍兴文理学院数学系,浙江绍兴312000 |
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| 基金项目： | 国家自然科学基金资助项目（60473034）,浙江省自然科学基金资助项目（102002） |
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| 摘 要： | 在C空间研究有界凸体迁移系统中一类单能、各向同性、非均匀介质的临界方程，使用Banach空间上的拟总体列紧算子理论，证明了近似计算临界尺寸及其相应的非负本征函数的离散纵标方法的收敛性．
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| 关 键 词： | 临界方程 紧算子 弱紧算子 谱半径 离散纵标方法 拟总体列紧算子 |
| 文章编号： | 1008-293X（2006）07-0006-04 |
| 收稿时间： | 2006-01-12 |
The Approximation of Discrete Ordinate Methods of Critical Equation in Bounded Convex Geometry |
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| Wang Wenlong. The Approximation of Discrete Ordinate Methods of Critical Equation in Bounded Convex Geometry[J]. Journal of Shaoxing College of Arts and Sciences, 2006, 26(1): 6-9,16 |
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| Authors: | Wang Wenlong |
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| Abstract: | We investigate the approximation of the discrete ordinate method for transport system in a bounded convex geometry with non - uniform medium and null boundary conditions. We prove the convergence of discrete ordinate method to approximately calculate critical thickness of ball and corresponding non - negative eigenfunction, by using quasi collectively compact operator theory on Banach spaces. |
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| Keywords: | critical equation compact operator weakly compact operator spectral radius discrete ordinate method quasi collectively compact operator |
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