A method for the numerical calculation of the nonlinear radial pulsations of stars
Abstract
The use of the finite difference method to calculate the nonlinear radial pulsations of stars is examined. The mathematical model of these pulsations is described by equations of timedependent gravitational gas dynamics in the onedimensional (spherically symmetric) case. A twoparameter family of fully conservative difference schemes is obtained; these schemes provide for a more precise calculation of nonlinear flows with shocks than other difference schemes of the same order of approximation. Methods for the numerical solution of implicit (absolutely stable) difference schemes from the family considered are discussed.
 Publication:

Izvestiya Ordena Trudovogo Krasnogo Znameni Krymskoj Astrofizicheskoj Observatorii
 Pub Date:
 1984
 Bibcode:
 1984IzKry..69..108K
 Keywords:

 Computational Astrophysics;
 Finite Difference Theory;
 Pulsars;
 Stellar Oscillations;
 Conservation Laws;
 Difference Equations;
 Gas Dynamics;
 Mathematical Models;
 Nonlinear Systems;
 Astrophysics