000008768 001__ 8768
000008768 005__ 20141204083519.0
000008768 04107 $$aeng
000008768 046__ $$k12/05/2014
000008768 100__ $$aChleboun, J.
000008768 24500 $$aPARAMETER IDENTIFICATION IN INITIAL VALUE PROBLEMS FOR NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS

000008768 24630 $$n20.$$pEngineering Mechanics 2014
000008768 260__ $$bBrno University of Technology- Institute of Solid Mechanics, Mechatronics and Biomechanics
000008768 506__ $$arestricted
000008768 520__ $$2eng$$aNonlinear 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 problems. 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 the Matlab environment, 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.

000008768 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000008768 653__ $$aIdentification of parameters, Initial value problem, Matlab, Sensitivity analysis.

000008768 7112_ $$aEngineering Mechanics 2014$$cSvratka (CZ)$$d12/05/2014 - 15/05/2014$$gEM2014
000008768 720__ $$aChleboun, J.$$iMikeš, K.
000008768 8560_ $$ffischerc@itam.cas.cz
000008768 8564_ $$s358544$$uhttps://invenio.itam.cas.cz/record/8768/files/21-Chleboun-CD.pdf$$yOriginal version of the author's contribution as presented on CD, paper No. 21.
000008768 962__ $$r70
000008768 980__ $$aPAPER