迁移理论中一类参数方程多群逼近的合理性

The Reasonableness of Multigroup Approximated for a Parameter Equation in Transport Theory

本文使田L^2空间的算子理论,分别研究了任意有界凸体和板几何中具各向同性,均匀介质的中子迁移的控制临界本征方程多群逼近的合理性,证明了原迁移系统的控制临界本征值及非负本征函数可由相应的多群迁移系统的控制临界本征值及非负本征函数逼近。

In this paper,by using operator theory in L^2 space,we study respectively the reasonableness of multigroup approximated for control critical eigeneauation of isotropic homogeneous with bounded convex body and slab geometry in transport theory.We have proved that the control critical eigenvalue and corresponding to nonnegative eigenfunction for the transport systems are approximated respectively by the control eigenvalue and corresponding nonnegative eigenfunction for multigroup transport systems.