标题： 关于Broyden方法在多级非LTE辐射转移问题求解中的应用 显示英文标题

标题： On Broyden's method for the solution of the multilevel non-LTE radiation transfer problem

摘要： 本研究涉及多级非LTE辐射传输问题的快速准确求解。 我们提出并评估了经典MALI方法的一种替代迭代方案。 我们的研究确实基于Broyden方法在求解非线性方程组中的应用。 在1D平面平行几何中，流行的MALI方法和我们替代方法之间的比较测试进行了讨论。 Broyden方法通常比MALI快4.5倍。 它也使其与在MALI之后开发的高斯-赛德尔和逐次超松弛方法相当具有竞争力。 显示英文摘要

摘要： This study concerns the fast and accurate solution of multilevel non-LTE radiation transfer problems. We propose and evaluate an alternative iterative scheme to the classical MALI method. Our study is indeed based on the application of Broyden's method for the solution of nonlinear systems of equations. Comparative tests, in 1D plane-parallel geometry, between the popular MALI method and our alternative method are discussed. The Broyden method is typically 4.5 times faster than MALI. It makes it also fairly competitive with Gauss-Seidel and Successive Over-Relaxation methods developed after MALI.