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

Abstract

The transfer problem given f is an element of X, find phi is an element of X such that T(sub phi) equals phi plus f is ill-conditioned, and the convergence of the fixed-point iteration phi(sub k + 1) equals T (sub phi(sub 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.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 2001
Accession Number
ADP013716

Entities

People

  • Alain Largillier
  • Filomena D'almeida
  • Mario Ahues
  • Olivier Titaud
  • Paulo Vasconcelos

Tags

DTIC Thesaurus Topics

  • Astrophysics
  • Banach Space
  • Boundary Layer
  • Computations
  • Equations
  • Identities
  • Integrals
  • Iterations
  • Layers
  • Linear Systems
  • Residuals
  • Sequences
  • Technical Information Centers

Readers

  • Approximation Theory.
  • Astronomy/Astrophysics
  • Linear Algebra

Technology Areas

  • Space