Skip to main content
Log in

On the use of collocation methods for the construction of stellar models

  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

Collocation with piecewise continuous polynomials is studied for use in the numerical modelling of stellar evolution. Accuracy and convergence of the method are demonstrated for a 5M star with a convective core. Collocation should be further studied since it is likely to lead to significant gains in computational efficiency for the construction of stellar models.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Cox, A. N. and Stewart, J. N.: 1970,Ap. J. Suppl. 19, 243.

    Google Scholar 

  • DeBoor, C. and Swartz, B.: 1973,SIAM J. Numer. Anal. 10, 582.

    Google Scholar 

  • Finlayson, B. A.: 1972,The Method of Weighted Residuals and Variational Principles, New York, Academic Press.

    Google Scholar 

  • Henyey, L. G., Forbes, J. E., and Gould, N. L.: 1964,Astrophys. J. 139, 306.

    Google Scholar 

  • Kopal, Z.: 1961,Numerical Analysis (sec. ed.), John Wiley, New York, sec. VIG.

    Google Scholar 

  • Lanczos, C.: 1957,Applied Analysis, London, Pitman.

    Google Scholar 

  • Russell, R. D.: 1974,Numer. Math. 23, 119.

    Google Scholar 

  • Russell, R. D. and Shampine, L. F.: 1972,Numer. Math. 19, 1.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Smith, R.L., Fuchs, H. On the use of collocation methods for the construction of stellar models. Astrophys Space Sci 50, 63–73 (1977). https://doi.org/10.1007/BF00648519

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00648519

Keywords

Navigation