The behavior of non-local thermal-equilibrium (NLTE) plasmas plays a central role in many fields of modern-day physics, such as laser-produced plasmas, astrophysics, inertial or magnetic confinement fusion devices, or X-ray sources. The proper description of these media in stationary cases requires to solve linear systems of thousands or more rate equations. A possible simplification for this arduous numerical task may lie in some type of statistical average, such as configuration or superconfiguration average. However to assess the validity of this procedure and to handle cases where isolated lines play an important role, it may be important to deal with detailed levels systems. This involves matrices with sometimes billions of elements, which are rather sparse but still involve thousands of diagonals. We propose here a numerical algorithm based on the LU decomposition for such linear systems. This method turns out to be orders of magnitude faster than the traditional Gauss elimination. And at variance with alternate methods based on conjugate gradients or minimization, no convergence or accuracy issues have been faced. Some examples are discussed in connection with the krypton and tungsten cases discussed at the last NLTE meeting. Furthermore, to assess the validity of configuration average, several criteria are discussed. While a criterion based on detailed balance is relevant in cases not too far from LTE but insufficient otherwise, an alternate criterion based on the use of a fictive configuration temperature is proposed and successfully tested. It appears that detailed calculations are sometimes necessary, which supports the search for an efficient solver as the one proposed here.
Collisional-radiative modeling of the $5p-5s$ spectrum of W XIV - W XVI ions
用相对论组态相互作用方法计算了W XIV - W XVI离子的$5p-5s$跃迁的波长和跃迁速率。建立了一个合理的碰撞辐射模型（CRM），模拟了在电子束离子阱（EBIT）装置中观察到的W XIV - W XVI离子的$5p - 5s$跃迁谱。结果与现有的实验和理论数据是合理的协议，并可能被应用到识别有争议的光谱。解决了电离级分配的混乱问题。
Hybrid collisional-radiative modeling for high-fidelity atomic kinetics
Los Alamos National Laboratory（洛斯阿拉莫斯国家实验室）；Queensland Quantum and Advanced Technologies Research Institute, Griffith University（格里菲大学昆士兰量子与先进技术研究学院）；School of Environment and Science, Griffith University（格里菲大学环境科学与科学学院）
Collisional-radiative data for tokamak disruption mitigation modeling
Los Alamos National Laboratory（洛斯阿拉莫斯国家实验室）；Curtin University（科廷大学）；Korea Institute of Fusion Energy（韩国聚变能源研究所）；Queensland Quantum and Advanced Technologies Research Institute, Griffith University（格里菲大学昆士兰量子与先进技术研究学院）；School of Environment and Science, Griffith University（格里菲大学环境与科学学院）
Diagnosis of electron density and temperature by using collisional radiative model in capacitively coupled Ar plasmas II: two-dimensional distributions
Modeling of dielectronic satellites to diagnose exotic states of matter created by XUV/X-ray free electron lasers, plasma ion electric microfield mixing dynamics rate (II): application to the 2l2l' configuration of helium-like aluminium
Reexamination of collisional ionization cross sections including double photoionization processes
GoLP/Instituto de Plasmas e Fusão Nuclear, Universidade de Lisboa（里斯本大学等离子体与核聚变研究所）；Instituto de Fusión Nuclear, Universidad Politécnica de Madrid（马德里理工大学核聚变研究所）
