Geodesic
On dynamical modelling of parameters of some thermal processes
Matematičeskoe modelirovanie, Tome 3 (1991) no. 8, pp. 72-81.

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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. 
@article{MM_1991_3_8_a8,
     author = {S. L. Grigor'ev and A. V. Kim and A. I. Korotkii and I. A. Tsepelev},
     title = {On dynamical modelling of parameters of some thermal processes},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {72--81},
     publisher = {mathdoc},
     volume = {3},
     number = {8},
     year = {1991},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1991_3_8_a8/}
}
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S. L. Grigor'ev; A. V. Kim; A. I. Korotkii; I. A. Tsepelev. On dynamical modelling of parameters of some thermal processes. Matematičeskoe modelirovanie, Tome 3 (1991) no. 8, pp. 72-81. http://geodesic.mathdoc.fr/item/MM_1991_3_8_a8/