Naslov
Smoothing the data method for solving parameter identification problem

Autori
Scitovski, Rudolf

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Bosnian-Croatian Analysis Meeting / - , 2001, 15-15

Skup
Bosnian-Croatian Analysis Meeting

Mjesto i datum
Bihać, Bosna i Hercegovina, 10.05.2001. - 12.05.2001

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Data smoothing; Parameter identification problem

Sažetak
We consider the smoothing a data method for solving the parameter identification problem in the mathematical model described by one differential equation $\frac{;dy};{;dt};=f(t, y(t), p)$, where $p=(p_1, \ldots, p_n)^T$ is the vector of unknown parameters. We assume that the solution of the differential equation cannot be represented by elementary functions. Also, we assume that the additive errors can appear in the measured values of the independent variable $t$ and in the measured values of the dependent variable $y$, as well as among the data so-called outliers can appear. Therefore, for smoothing the data will use the so-called total $L_1$ natural cubic spline, i.e. in general, the total $L_p$, ($p\geq 1$) natural cubic spline. For the construction of the best total $L_p$ natural cubic spline we use a new approach of our own. The method will be shown on several illustrative examples.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA