Accession Number:

ADP013716

Title:

Iterative Refinement Schemes for an Ill-Conditioned Transfer Equation in Astrophysics

Descriptive Note:

Conference paper

Corporate Author:

SAINT-ETIENNE UNIV (FRANCE)

Report Date:

2001-07-01

Pagination or Media Count:

8.0

Abstract:

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.

Subject Categories:

  • Numerical Mathematics
  • Theoretical Mathematics
  • Astrophysics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE