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arXiv · 2312.02788

Low-rank Monte Carlo for Smoluchowski-class equations

Alexander Osinsky
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Abstract

The work discusses a new low-rank Monte Carlo technique to solve Smoluchowski-like kinetic equations. It drastically decreases the computational complexity of modeling of size-polydisperse systems. For the studied systems it can outperform the existing methods by more than ten times; its superiority further grows with increasing system size. Application to the recently developed temperature-dependent Smoluchowski equations is also demonstrated.

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Alexander Osinsky. 2023-12-05. Low-rank Monte Carlo for Smoluchowski-class equations. https://arxiv.org/abs/2312.02788

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