数学物理学报(英文版) ›› 1982, Vol. 2 ›› Issue (2): 197-210.

• 论文 • 上一篇    下一篇

THE CONVERGENCE THEORY FOR DISCRETE-ORDINATE APPROXIMATIONS IN HIGHER SPATIAL DIMENSIONS

阳名珠1, 朱广田2   

  1. 1. Institute of Atomic Energy, Academia Sinica;
    2. Institute of Systems Science, Academia Sinica
  • 出版日期:1982-06-25 发布日期:1982-06-25

THE CONVERGENCE THEORY FOR DISCRETE-ORDINATE APPROXIMATIONS IN HIGHER SPATIAL DIMENSIONS

Yang Mingzhu1, Zhu Guangtian2   

  1. 1. Institute of Atomic Energy, Academia Sinica;
    2. Institute of Systems Science, Academia Sinica
  • Online:1982-06-25 Published:1982-06-25

摘要: In this paper the approximation theory of p-order quasi-collectively compact operators established by Ref.[1] is applied to proving that the critical parameter and critical flux, and that the fundamental mode decay constant and fundamental mode computed by discrete-ordinate do converge to the corresponding quantities for the undiscretized, three-dimensional transport equation.

Abstract: In this paper the approximation theory of p-order quasi-collectively compact operators established by Ref.[1] is applied to proving that the critical parameter and critical flux, and that the fundamental mode decay constant and fundamental mode computed by discrete-ordinate do converge to the corresponding quantities for the undiscretized, three-dimensional transport equation.