Iterative Refinement Schemes for an Ill-Conditioned Transfer Equation in Astrophysics
SAINT-ETIENNE UNIV (FRANCE)
Pagination or Media Count:
The transfer problem given f is an element of X, find phi is an element of X such that Tsub phi equals phi plus f is ill-conditioned, and the convergence of the fixed-point iteration phisub k 1 equals T sub phisub k minus f, which is commonly used by numerical astronomers, becomes prohibitively slow. The purposes of this work are to approximate phi through different sequences whose terms solve well-conditioned approximate equations, and to compare their efficiency and computational costs.
- Numerical Mathematics
- Theoretical Mathematics