---
_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
arxiv: 1
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'
...
---
_id: '7763'
abstract:
- lang: eng
text: An orthogonal wavelet basis is characterized by its approximation order, which
relates to the ability of the basis to represent general smooth functions on a
given scale. It is known, though perhaps not widely known, that there are ways
of exceeding the approximation order, i.e., achieving higher-order error in the
discretized wavelet transform and its inverse. The focus here is on the development
of a practical formulation to accomplish this first for 1D smooth functions, then
for 1D functions with discontinuities and then for multidimensional (here 2D)
functions with discontinuities. It is shown how to transcend both the wavelet
approximation order and the 2D Gibbs phenomenon in representing electromagnetic
fields at discontinuous dielectric interfaces that do not simply follow the wavelet-basis
grid.
article_processing_charge: No
article_type: original
author:
- first_name: Richard
full_name: Lombardini, Richard
last_name: Lombardini
- first_name: Ramiro
full_name: Acevedo, Ramiro
last_name: Acevedo
- first_name: Alexander
full_name: Kuczala, Alexander
last_name: Kuczala
- first_name: Kerry P.
full_name: Keys, Kerry P.
last_name: Keys
- first_name: Carl Peter
full_name: Goodrich, Carl Peter
id: EB352CD2-F68A-11E9-89C5-A432E6697425
last_name: Goodrich
orcid: 0000-0002-1307-5074
- first_name: Bruce R.
full_name: Johnson, Bruce R.
last_name: Johnson
citation:
ama: Lombardini R, Acevedo R, Kuczala A, Keys KP, Goodrich CP, Johnson BR. Higher-order
wavelet reconstruction/differentiation filters and Gibbs phenomena. Journal
of Computational Physics. 2016;305:244-262. doi:10.1016/j.jcp.2015.10.035
apa: Lombardini, R., Acevedo, R., Kuczala, A., Keys, K. P., Goodrich, C. P., &
Johnson, B. R. (2016). Higher-order wavelet reconstruction/differentiation filters
and Gibbs phenomena. Journal of Computational Physics. Elsevier. https://doi.org/10.1016/j.jcp.2015.10.035
chicago: Lombardini, Richard, Ramiro Acevedo, Alexander Kuczala, Kerry P. Keys,
Carl Peter Goodrich, and Bruce R. Johnson. “Higher-Order Wavelet Reconstruction/Differentiation
Filters and Gibbs Phenomena.” Journal of Computational Physics. Elsevier,
2016. https://doi.org/10.1016/j.jcp.2015.10.035.
ieee: R. Lombardini, R. Acevedo, A. Kuczala, K. P. Keys, C. P. Goodrich, and B.
R. Johnson, “Higher-order wavelet reconstruction/differentiation filters and Gibbs
phenomena,” Journal of Computational Physics, vol. 305. Elsevier, pp. 244–262,
2016.
ista: Lombardini R, Acevedo R, Kuczala A, Keys KP, Goodrich CP, Johnson BR. 2016.
Higher-order wavelet reconstruction/differentiation filters and Gibbs phenomena.
Journal of Computational Physics. 305, 244–262.
mla: Lombardini, Richard, et al. “Higher-Order Wavelet Reconstruction/Differentiation
Filters and Gibbs Phenomena.” Journal of Computational Physics, vol. 305,
Elsevier, 2016, pp. 244–62, doi:10.1016/j.jcp.2015.10.035.
short: R. Lombardini, R. Acevedo, A. Kuczala, K.P. Keys, C.P. Goodrich, B.R. Johnson,
Journal of Computational Physics 305 (2016) 244–262.
date_created: 2020-04-30T11:40:41Z
date_published: 2016-01-15T00:00:00Z
date_updated: 2021-01-12T08:15:22Z
day: '15'
doi: 10.1016/j.jcp.2015.10.035
extern: '1'
intvolume: ' 305'
language:
- iso: eng
month: '01'
oa_version: None
page: 244-262
publication: Journal of Computational Physics
publication_identifier:
issn:
- 0021-9991
publication_status: published
publisher: Elsevier
quality_controlled: '1'
status: public
title: Higher-order wavelet reconstruction/differentiation filters and Gibbs phenomena
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 305
year: '2016'
...