摘要
研究了板几何控制临界本征方程多群逼近的合理性。运用L^2空间中的线性算子理论,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;多群迁移问题存在控制临界本征值及非负本征函数并逼近原迁移问题的控制临界本征值及非负本征函数。
In this paper, the rationality of the multigroup approximation of the control critical eigenvalue equation for the slab geometry is studied. By using linear operator theory in L2 spaces, we prove that the eigenvalues of the exact transoort problem are approximated by the eigenvalues of the multigroup transport problems; the control critical eigenvalues and the corresponding non-negative eigenfunctions of the multigroup transport problems, whose existence is also proved, accumulate to those of the exact transport problem.
出处
《南方冶金学院学报》
1993年第3期236-242,共7页
Journal of Southern Institute of Metallurgy
关键词
迁移方程
临界本征值
多群逼近
transport equation, control critical eigenvalue, multigroup approximation
