Low-rank Monte Carlo for Smoluchowski-class equations
Statistical Mechanics
2023-12-06 v1
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.
Cite
@article{arxiv.2312.02788,
title = {Low-rank Monte Carlo for Smoluchowski-class equations},
author = {Alexander Osinsky},
journal= {arXiv preprint arXiv:2312.02788},
year = {2023}
}
Comments
Submitted to Journal of Computational Physics