Statistics – Computation
Scientific paper
Jan 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987apj...312..217b&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 312, Jan. 1, 1987, p. 217, 218.
Statistics
Computation
1
Computational Astrophysics, Stellar Evolution, Stellar Mass, Stellar Models, Stellar Structure, Boundary Conditions, Boundary Layers, Computerized Simulation, Differential Equations, Newton-Raphson Method, Truncation Errors
Scientific paper
A Henyey relaxation method with fourth-order truncation errors and accurate error control is described for modeling stellar evolutionary sequences. The model includes four interior equations of a nonrotating, quasi-static star and four boundary conditions. The equations are treated as a system of nonlinear algebraic equations solved by a Newton-Raphson procedure. The higher order truncation error is obtained by using the Runge-Kutta-Fehlberg method (1970) to generate fourth- and fifth-order approximations. The truncation error is then the difference between the approximations, and has proven useful for avoiding the appearance of an excessive number of shells in computations.
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