We present results of explicit asymptotic approximations applied to neutrino-electron scattering in a representative model of neutrino population evolution under conditions characteristic of core-collapse supernova explosions or binary neutron star mergers. It is shown that this approach provides stable solutions of these stiff systems of equations, with accuracy and time stepping comparable to that for standard implicit treatments such as backward Euler, fixed point iteration, and Anderson-accelerated fixed point iteration. Because each time step can be computed more rapidly with the explicit asymptotic approximation than with implicit methods, this suggests that algebraically stabilized explicit integration methods could be used to compute neutrino evolution coupled to hydrodynamics more efficiently in stellar explosions and mergers than the methods currently in use.

中文翻译：

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中微子电子散射的快速显式解：显式渐近方法

我们提出了在核心塌缩超新星爆炸或双中子星合并特征条件下的中微子种群演化代表性模型中应用于中微子电子散射的显式渐近近似的结果。结果表明，该方法为这些刚性方程组提供了稳定的解，其精度和时间步长与标准隐式处理（例如后向欧拉、定点迭代和安德森加速定点迭代）相当。由于使用显式渐近近似可以比隐式方法更快地计算每个时间步长，这表明代数稳定的显式积分方法可用于比当前使用的方法更有效地计算恒星爆炸和合并中与流体动力学耦合的中微子演化。