In this paper we consider the problem of modelling a system of aggregating particles, that are being transported with stationary velocities dependent on masses of the particles in one-dimensional case. A numerical method based on the ideas of POD (Proper Orthogonal Decomposition) is constructed, and its capacity to speed up the solution up to 40 times is demonstrated.

中文翻译：

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带粒子传递的 Smoluchowski 方程的模型简化

在本文中，我们考虑对聚集粒子系统建模的问题，这些粒子在一维情况下以取决于粒子质量的固定速度传输。构建了一种基于POD（Proper Orthogonal Decomposition）思想的数值方法，并证明了其求解速度高达40倍的能力。