Finite parametric inverse problems in astrophysics
Abstract
Methods and results of the solution of inverse problems in astrophysics using parametric models are examined. In particular, stable methods for solving inverse problems with a statistical error model are described. Statistical theorems are presented which provide the basis for efficient methods of obtaining the confidence limits (errors) of the unknown parameters of a model. New mathematical results are obtained for nonlinear parametric problems. Astrophysical results are presented concerning the physics and evolution of close binaries, stellar occultation by the moon, and determination of the light curve variations of nonstationary stars.
 Publication:

Moscow Izdatel Moskovskogo Universiteta Pt
 Pub Date:
 1991
 Bibcode:
 1991MIzMU.........G
 Keywords:

 Astronomical Models;
 Computational Astrophysics;
 Finite Element Method;
 Applications Of Mathematics;
 Black Holes (Astronomy);
 Brightness Temperature;
 Error Analysis;
 Light Curve;
 Mathematical Models;
 Set Theory;
 Statistical Analysis;
 Stellar Evolution;
 Stellar Luminosity;
 X Ray Binaries;
 Astrophysics