--- _id: '11556' abstract: - lang: eng text: "We revisit two basic Direct Simulation Monte Carlo Methods to model aggregation kinetics and extend them for aggregation processes with collisional fragmentation (shattering). We test the performance and accuracy of the extended methods and compare their performance with efficient deterministic finite-difference method applied to the same model. We validate the stochastic methods on the test problems and apply them to verify the existence of oscillating regimes in the aggregation-fragmentation kinetics recently detected in deterministic simulations. We confirm the emergence of steady oscillations of densities in such systems and prove the stability of the\r\noscillations with respect to fluctuations and noise." acknowledgement: Zhores supercomputer of Skolkovo Institute of Science and Technology [68] has been used in the present research. S.A.M. was supported by Moscow Center for Fundamental and Applied Mathematics (the agreement with the Ministry of Education and Science of the Russian Federation No. 075-15-2019-1624). A.I.O. acknowledges RFBR project No. 20-31-90022. N.V.B. acknowledges the support of the Analytical Center (subsidy agreement 000000D730321P5Q0002, Grant No. 70-2021-00145 02.11.2021). article_number: '111439' article_processing_charge: No article_type: original author: - first_name: Aleksei full_name: Kalinov, Aleksei id: 44b7120e-eb97-11eb-a6c2-e1557aa81d02 last_name: Kalinov orcid: 0000-0003-2189-3904 - first_name: A.I. full_name: Osinskiy, A.I. last_name: Osinskiy - first_name: S.A. full_name: Matveev, S.A. last_name: Matveev - first_name: W. full_name: Otieno, W. last_name: Otieno - first_name: N.V. full_name: Brilliantov, N.V. last_name: Brilliantov citation: ama: Kalinov A, Osinskiy AI, Matveev SA, Otieno W, Brilliantov NV. Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics. Journal of Computational Physics. 2022;467. doi:10.1016/j.jcp.2022.111439 apa: Kalinov, A., Osinskiy, A. I., Matveev, S. A., Otieno, W., & Brilliantov, N. V. (2022). Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics. Journal of Computational Physics. Elsevier. https://doi.org/10.1016/j.jcp.2022.111439 chicago: Kalinov, Aleksei, A.I. Osinskiy, S.A. Matveev, W. Otieno, and N.V. Brilliantov. “Direct Simulation Monte Carlo for New Regimes in Aggregation-Fragmentation Kinetics.” Journal of Computational Physics. Elsevier, 2022. https://doi.org/10.1016/j.jcp.2022.111439. ieee: A. Kalinov, A. I. Osinskiy, S. A. Matveev, W. Otieno, and N. V. Brilliantov, “Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics,” Journal of Computational Physics, vol. 467. Elsevier, 2022. ista: Kalinov A, Osinskiy AI, Matveev SA, Otieno W, Brilliantov NV. 2022. Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics. Journal of Computational Physics. 467, 111439. mla: Kalinov, Aleksei, et al. “Direct Simulation Monte Carlo for New Regimes in Aggregation-Fragmentation Kinetics.” Journal of Computational Physics, vol. 467, 111439, Elsevier, 2022, doi:10.1016/j.jcp.2022.111439. short: A. Kalinov, A.I. Osinskiy, S.A. Matveev, W. Otieno, N.V. Brilliantov, Journal of Computational Physics 467 (2022). date_created: 2022-07-11T12:19:59Z date_published: 2022-10-15T00:00:00Z date_updated: 2023-08-03T11:55:06Z day: '15' ddc: - '518' department: - _id: GradSch - _id: ChWo doi: 10.1016/j.jcp.2022.111439 external_id: arxiv: - '2103.09481' isi: - '000917225500013' intvolume: ' 467' isi: 1 keyword: - Computer Science Applications - Physics and Astronomy (miscellaneous) - Applied Mathematics - Computational Mathematics - Modeling and Simulation - Numerical Analysis language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2103.09481 month: '10' oa: 1 oa_version: Preprint publication: Journal of Computational Physics publication_identifier: issn: - 0021-9991 publication_status: published publisher: Elsevier quality_controlled: '1' status: public title: Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 467 year: '2022' ...