标题： 关于$\texttt{CLASS}$代码中标量场暗物质的宇宙演化：数值解的准确性和精确性 显示英文标题

标题： On the cosmological evolution of Scalar Field Dark Matter in the $\texttt{CLASS}$ code: accuracy and precision of numerical solutions

摘要： 我们基于前人工作的动力学系统分析，在Boltzmann代码$\texttt{CLASS}$中对标量场暗物质（SFDM）的宇宙演化进行了数值分析。 我们详细研究了不同动力学变量的演化，特别是能量密度及其对应的线性扰动。 数值结果与原始SFDM运动方程的结果非常吻合，并且比其他方法具有更高的精度。 此外，我们计算了温度和物质功率谱，并讨论了其数值结果的可靠性。 我们还给出了简单的例子，利用Monte Carlo Markov Chain采样器$\texttt{MontePython}$中包含的最新似然性，可以对场的质量施加约束。 显示英文摘要

摘要： We present a numerical analysis of the cosmological evolution of scalar field dark matter (SFDM) in the Boltzmann code $\texttt{CLASS}$, based on a dynamical system analysis of previous works. We show a detailed study of the evolution of the different dynamical variables, and in particular of the energy density and its corresponding linear perturbations. The numerical results are in good agreement with those of the original SFDM equations of motion, and have better accuracy than other approaches. In addition, we calculate the temperature and matter power spectra and discuss the reliability of their numerical results. We also give simple examples in which we can put constraints on the field mass using recent likelihoods incorporated in the Monte Carlo Markov Chain sampler $\texttt{MontePython}$.