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Application of the Generalized Newton-Raphson Method to the Singly-Ionized Calcium Line Formation Problem in Model Stellar Atmospheres

机译：广义Newton-Raphson方法在模型恒星大气中单电离钙线形成问题中的应用

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A new method is proposed for solving the statistical equilibrium and radiative transfer equations for the level populations of a multilevel model atom in a model stellar atmosphere. These two sets of equations are reduced to a single system of non-linear operator equations by incorporating the integral form of the radiative transfer equations into the equations of statistical equilibrium. An iterative procedure for solving the system based on the Generalized Newton-Raphson (GNR) method, is described and compared to other methods currently being used to solve such problems. The GNR method eliminates the possibility of convergence to inconsistent solutions; and in certain test cases reduced the number of iterations necessary to reach convergence by as much as an order of magnitude.

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作者
Domenico, B. A.;
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年度 1972
页码 1-115
总页数 115
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Stellar atmospheres; Ultraviolet spectra; Near ultraviolet radiation; Line spectra; Resonance radiation; Theses;

机译：恒星大气;紫外光谱;近紫外辐射;线谱;共振辐射;论文;

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Application of the Generalized Newton-Raphson Method to the Singly-Ionized Calcium Line Formation Problem in Model Stellar Atmospheres

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