| RESEARCH ANNOUNCEMENTS High order Zumerical Solution of Integral Transport Equation in slab Geometry |
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| 引用本文： | 沈智军,袁光伟,沈隆钧. RESEARCH ANNOUNCEMENTS High order Zumerical Solution of Integral Transport Equation in slab Geometry[J]. 数学进展, 2002, 31(3): 287-289 |
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| 作者姓名： | 沈智军 袁光伟 沈隆钧 |
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| 作者单位： | LaboratoryofComputationalPhysics,InstituteofAppliedPhysicsandComputationalMathematics |
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| 基金项目： | 国家重点基础研究发展计划(973计划)，国家自然科学基金，the Foundation of CAEP |
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| 摘 要： | There are some common numerical methods for solving neutron transport equation, which including the well-known discrete ordinates method, PN approximation and integral transport methods[1]. There exists certain singularities in the solution of transport equation near the boundary and interface[2]. It gives rise to the difficulty in the construction of high order accurate numerical methods. The numerical solution obtained by now can not attain the second order convergent accuracy[3,4].
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| 关 键 词： | 积分迁移方程 Slab几何 数值解 中子迁移方程 |
High Order Numerical Solution of Integral Transport Equation in Slab Geometry |
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| Shen Zhijun(. High Order Numerical Solution of Integral Transport Equation in Slab Geometry[J]. Advances in Mathematics(China), 2002, 31(3): 287-289 |
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| Authors: | Shen Zhijun( |
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| Affiliation: | Laboratory of Computational Physics,Institute of Applied Physics and Computational Mathematics,P.O.Box.8009,Beijing,100088,P.R.China |
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| Abstract: | There are some common numerical methods for solving neutron transport equation, which including the well-known discrete ordinates method, PN approximation and integral transport methods[1]. There exists certain singularities in the solution of transport equation near the boundary and interface[2]. It gives rise to the difficulty in the construction of high order accurate numerical methods. The numerical solution obtained by now can not attain the second order convergent accuracy[3,4]. |
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