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Matematicheskoe modelirovanie, 1991, Volume 3, Number 8, Pages 72–81 (Mi mm2262)  
Computational methods and algorithms

On dynamical modelling of parameters of some thermal processes

S. L. Grigor'eva, A. V. Kima, A. I. Korotkiia, I. A. Tsepelevb

a Institute of Mathematics and Mechanics, Ural Branch of the AS of USSR
b Ural Polytechnic Institute, Ekaterinburg
Full-text PDF (1070 kB)
Abstract: The paper deals with the process of heat exchange between a heater and a heat conducting body. This process is described by a heat equation with movable boundary. The problem consists in reconstruction (restoration) of the heater's temperature on the basis of approximate measurement of the heated body's temperature. The algorithm of reconstruction is regularizing and works in real time. A numerical example is considered.
Received: 30.12.1990
Bibliographic databases:
UDC: 519
Language: Russian
Citation: S. L. Grigor'ev, A. V. Kim, A. I. Korotkii, I. A. Tsepelev, “On dynamical modelling of parameters of some thermal processes”, Matem. Mod., 3:8 (1991), 72–81
Citation in format AMSBIB
\Bibitem{GriKimKor91}
\by S.~L.~Grigor'ev, A.~V.~Kim, A.~I.~Korotkii, I.~A.~Tsepelev
\paper On dynamical modelling of parameters of some thermal processes
\jour Matem. Mod.
\yr 1991
\vol 3
\issue 8
\pages 72--81
\mathnet{http://mi.mathnet.ru/mm2262}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1157311}
\zmath{https://zbmath.org/?q=an:1189.80016}
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    		Математическое моделирование
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