Identification of parameters in initial value problems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F15%3A00228124" target="_blank" >RIV/68407700:21110/15:00228124 - isvavai.cz</a>
Result on the web
<a href="https://dml.cz/bitstream/handle/10338.dmlcz/702663/PANM_17-2014-1_11.pdf" target="_blank" >https://dml.cz/bitstream/handle/10338.dmlcz/702663/PANM_17-2014-1_11.pdf</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Identification of parameters in initial value problems
Original language description
Scalar parameter values as well as initial condition values are to be identified in initial value problems for ordinary differential equations (ODE). To achieve this goal, computer algebra tools are combined with numerical tools in the MATLAB environment. The best fit is obtained through the minimization of the summed squares of the difference between measured data and ODE solution. The minimization is based on a gradient algorithm where the gradient of the summed squares is calculated either numerically or via auxiliary initial value problems. In the latter case, the MATLAB Symbolic Math Toolbox helps to derive the expressions that define the auxiliary problems and transforms them into MATLAB routines.
Czech name
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Czech description
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Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of Seminar Programs and Algorithms of Numerical Mathematics 17
ISBN
978-80-85823-64-6
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
58-63
Publisher name
Academy of Sciences of the Czech Republic
Place of publication
Praha
Event location
Dolní Maxov
Event date
Jun 8, 2014
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
000380564700007

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