Numerical Analysis of Discrete Ordinate Methods
Abstract
It is shown that the DSN equations for spherical nonscattering time-dependent systems can be put in matrix form, and that one can then apply well-known theorems to obtain criteria for stability and monotonicity of the difference operator. The influence of the choice of auxiliary equations needed for full definition of the solution is analyzed in some detail. Numerical illustrations of the theory are discussed.
- Publication:
-
Journal of Computational Physics
- Pub Date:
- June 1968
- DOI:
- 10.1016/0021-9991(68)90044-2
- Bibcode:
- 1968JCoPh...2..381G