کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9599071 | 1508717 | 2005 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A spectrally accurate quadrature for resolving the logarithmic endpoint singularities of the Chandrasekhar H-function
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
شیمی
طیف سنجی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A spectrally accurate quadrature for resolving the logarithmic endpoint singularities of the Chandrasekhar H-function A spectrally accurate quadrature for resolving the logarithmic endpoint singularities of the Chandrasekhar H-function](/preview/png/9599071.png)
چکیده انگلیسی
The Chandrasekhar H-function of scattering theory was computed by Chandrasekhar himself using a Legendre-Gauss quadrature. Through the explicit forms of the first three terms of a perturbation series (Neumann series) in the albedo ε, we show that the H-function has an xlog(x) singularity at one endpoint. Consequently, the Legendre coefficients an of the H-function fall algebraically rather than exponentially with degree, being asymptotically proportional to n-7/2. We show that by using a new quadrature, one can obtain very high accuracy from a moderate number of grid points. The method of successive substitution converges only inversely linear with iteration number when ε=1; Richardson extrapolation allows moderate accuracy without an immoderate number of iterations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Quantitative Spectroscopy and Radiative Transfer - Volume 94, Issues 3â4, 1 September 2005, Pages 467-475
Journal: Journal of Quantitative Spectroscopy and Radiative Transfer - Volume 94, Issues 3â4, 1 September 2005, Pages 467-475
نویسندگان
John P. Boyd,