Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2021, Volume 497, Pages 31–34
DOI: https://doi.org/10.31857/S2686954321020065 (Mi danma166) 		 
This article is cited in 2 scientific papers (total in 2 papers)

INFORMATICS

Method for reduced basis discovery in nonstationary problems

I. V. Timokhinab, S. A. Matveevab, E. E. Tyrtyshnikovab, A. P. Smirnova

a Lomonosov Moscow State University, Moscow, Russia
b Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.31857/S2686954321020065
Abstract: Model reduction methods allow to significantly decrease the time required to solve a large ODE system in some cases by performing all calculations in a vector space of significantly lower dimension than the original one. These methods frequently require apriori information about the structure of the solution, possibly obtained by solving the same system for different values of parameters. We suggest a simple algorithm for constructing such a subspace while simultaneously solving the system, thus allowing one to benefit from model reduction even for a single system without significant apriori information, and demonstrate its effectiveness using the Smoluchowski equation as an example.
Keywords: Smoluchwoski equation, model reduction, method of snapshots.
Funding agency Grant number
Russian Science Foundation 19-11-00338
This work has been supported by the Russian Science Foundation (project no. 19-11-00338).
Received: 16.02.2021
Revised: 16.02.2021
Accepted: 24.02.2021
English version:
Doklady Mathematics, 2021, Volume 103, Issue 2, Pages 92–94
DOI: https://doi.org/10.1134/S106456242102006X
Bibliographic databases:
Document Type: Article
UDC: 519.622.2
Language: Russian
Citation: I. V. Timokhin, S. A. Matveev, E. E. Tyrtyshnikov, A. P. Smirnov, “Method for reduced basis discovery in nonstationary problems”, Dokl. RAN. Math. Inf. Proc. Upr., 497 (2021), 31–34; Dokl. Math., 103:2 (2021), 92–94
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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