Renormalized Coordinate Stretching: A Generalization of Shoot and Fit with Application to Stellar StructureReport as inadecuate




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The standard shooting and fitting algorithm fornon-linear two-point boundary value problems derives from conventionalcoordinate perturbation theory. We generalize the algorithm using therenormalized perturbation theory of strained coordinates. This allows for theintroduction of an arbitrary function, which may be chosen to improve numericalconvergence. An application to a problem in stellar structure exemplifies thealgorithm and shows that, when used in conjunction with the standard procedure,it has superior convergence compared to the standard one alone.



KEYWORDS

Singular Non-Linear Boundary Value Problems; Renormalized Coordinate Stretching; Poincaré-Lighthill Perturbation Theory; Numerical Analysis; Stellar Structure

Cite this paper

P. Usher -Renormalized Coordinate Stretching: A Generalization of Shoot and Fit with Application to Stellar Structure,- International Journal of Astronomy and Astrophysics, Vol. 3 No. 3, 2013, pp. 353-361. doi: 10.4236-ijaa.2013.33039.





Author: Peter D. Usher

Source: http://www.scirp.org/



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