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Renormalized Coordinate Stretching: A Generalization of Shoot and Fit with Application to Stellar Structure

Renormalized Coordinate Stretching: A Generalization of Shoot and Fit with Application to Stellar Structure
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摘要 The standard shooting and fitting algorithm for non-linear two-point boundary value problems derives from conventional coordinate perturbation theory. We generalize the algorithm using the renormalized perturbation theory of strained coordinates. This allows for the introduction of an arbitrary function, which may be chosen to improve numerical convergence. An application to a problem in stellar structure exemplifies the algorithm and shows that, when used in conjunction with the standard procedure, it has superior convergence compared to the standard one alone. The standard shooting and fitting algorithm for non-linear two-point boundary value problems derives from conventional coordinate perturbation theory. We generalize the algorithm using the renormalized perturbation theory of strained coordinates. This allows for the introduction of an arbitrary function, which may be chosen to improve numerical convergence. An application to a problem in stellar structure exemplifies the algorithm and shows that, when used in conjunction with the standard procedure, it has superior convergence compared to the standard one alone.
出处 《International Journal of Astronomy and Astrophysics》 2013年第3期353-361,共9页 天文学与天体物理学国际期刊(英文)
关键词 Singular Non-Linear Boundary Value Problems Renormalized COORDINATE STRETCHING Poincaré-Lighthill Perturbation Theory Numerical Analysis STELLAR Structure Singular Non-Linear Boundary Value Problems Renormalized Coordinate Stretching Poincaré-Lighthill Perturbation Theory Numerical Analysis Stellar Structure
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