About: Parameter Identification in Initial Value Problems for Nonlinear Ordinary Differential Equations

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Description	Nonlinear initial value problems (IVPs) for ordinary differential equations are considered. As a representative, a cement hydration model is chosen. The model equation depends on a few parameters that are to be identified on the basis of hydration-related measurements at a sequence of time points. This is done through the minimization of a cost function defined as the sum of squared differences between the measured values and the model response at the same time points. To minimize the cost function, a gradient based algorithm is used. The gradient of the cost function can be calculated either by numerical differentiation or via solving auxiliary initial value problem. The minimization algorithm tends to find a local minimum, therefore it is run from different starting points to increase the chance of finding the global minimum. Algorithms are coded in Matlab and Matlab IVP solvers as well as Matlab Optimization Toolbox and Symbolic Math Toolbox are utilized. The latter makes the derivation of the auxiliary IVPs easy and reliable. Nonlinear initial value problems (IVPs) for ordinary differential equations are considered. As a representative, a cement hydration model is chosen. The model equation depends on a few parameters that are to be identified on the basis of hydration-related measurements at a sequence of time points. This is done through the minimization of a cost function defined as the sum of squared differences between the measured values and the model response at the same time points. To minimize the cost function, a gradient based algorithm is used. The gradient of the cost function can be calculated either by numerical differentiation or via solving auxiliary initial value problem. The minimization algorithm tends to find a local minimum, therefore it is run from different starting points to increase the chance of finding the global minimum. Algorithms are coded in Matlab and Matlab IVP solvers as well as Matlab Optimization Toolbox and Symbolic Math Toolbox are utilized. The latter makes the derivation of the auxiliary IVPs easy and reliable. (en)
Title	Parameter Identification in Initial Value Problems for Nonlinear Ordinary Differential Equations Parameter Identification in Initial Value Problems for Nonlinear Ordinary Differential Equations (en)
skos:prefLabel	Parameter Identification in Initial Value Problems for Nonlinear Ordinary Differential Equations Parameter Identification in Initial Value Problems for Nonlinear Ordinary Differential Equations (en)
skos:notation	RIV/68407700:21110/14:00224505!RIV15-MSM-21110___
http://linked.open...avai/riv/aktivita	S
http://linked.open...avai/riv/aktivity	S
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Chleboun, Jan
http://linked.open.../riv/druhVysledku	O - Ostatní výsledky nezařaditelné do žádného z výše uvedených druhů výsledku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta stavební
http://linked.open...dnocenehoVysledku	35721
http://linked.open...ai/riv/idVysledku	RIV/68407700:21110/14:00224505
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	inverse problem; parameter identification; sensitivity analysis; initial value problem; ordinary differential equation; Matlab; computer algebra; cement hydration (en)
http://linked.open.../riv/klicoveSlovo	parameter identification ordinary differential equation computer algebra cement hydration Matlab sensitivity analysis initial value problem inverse problem
http://linked.open...ontrolniKodProRIV	[B68468F4CA61]
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2014
http://linked.open...iv/tvurceVysledku	Chleboun, Jan Mikeš, Karel
http://localhost/t...ganizacniJednotka	21110

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