摘要
研究了一类球几何定态迁移方程多群逼近问题，运用泛函分析算子理论，我们证明了原迁移问题的本征值可由多群迁移问题的本征值来逼近，多群迁移问题存在临界本征值及相应的非负本征函数并逼近原迁移问题的临界本征值及相应的非负本征函数，且给出了逼近的数量级．
The problem of multigroup approximation for a class of stationary tyansportequations in spherical geometry is studied. By using the operator theory of the functional analysis, we prove that the eigenvalues of the exact transport problemare appreoximated by the eigenvalues of the multigroup transport problem; and theproblem exists in the critical eigenvalues and the corresponding nonegative eigenfunctions and approximates to those of the exact transport problem, The orderof magnitUde of the approximation is given.
出处
《南方冶金学院学报》
1994年第1期62-70,共9页
Journal of Southern Institute of Metallurgy
关键词
球几何
临界方程
多群逼近
spherical geometry, critical equation, multigroup approximation
