Numerical optimization of parameters in systems of differential equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10474600" target="_blank" >RIV/00216208:11320/23:10474600 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.21136/panm.2022.12" target="_blank" >https://doi.org/10.21136/panm.2022.12</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/panm.2022.12" target="_blank" >10.21136/panm.2022.12</a>

Result language
angličtina
Original language name
Numerical optimization of parameters in systems of differential equations
Original language description
We present results on the estimation of unknown parameters in systems of ordinary differential equations in order to fit the output of models to real data. The numerical method is based on the nonlinear least squares problem along with the solution of sensitivity equations corresponding to the differential equations. We will present the performance of the method on the problem of fitting the output of basic compartmental epidemic models to data from the Covid-19 epidemic. This allows us to draw several conclusions on the natural limitations of these models and their validity.
Czech name
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Czech description
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Project
<a href="/en/project/GA20-01074S" target="_blank" >GA20-01074S: Adaptive methods for the numerical solution of partial differential equations: analysis, error estimates and iterative solvers</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Programs and Algorithms of Numerical Mathematics 21
ISBN
978-80-85823-73-8
ISSN
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e-ISSN
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Number of pages
10
Pages from-to
123-132
Publisher name
ACAD SCIENCES CZECH REPUBLIC, INST MATHEMATICS
Place of publication
PRAHA 1
Event location
Jablonec nad Nisou
Event date
Jun 19, 2022
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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