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Mathematical modeling of experiments with the help of inverse problems

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The problem of interpreting observations under conditions when the properties of the object of interest depend on the state of the object is studied. A procedure that permits studying an experiment from the viewpoint of achieving maximum information from it is proposed and justified on the basis of linear abstract models.

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Literature cited

  1. 1.

    O. M. Alifanov, Identification of Heat Transfer Processes in Aircraft [in Russian], Moscow (1979).

  2. 2.

    D. F. Simbirskii, Temperature Diagnostics of Engines [in Russian], Kiev (1976).

  3. 3.

    Yu. M. Matsevityi and A. V. Multanovskii, Identification in Heat Conduction Problems [in Russian], Kiev (1982).

  4. 4.

    L. A. Kozdoba and P. G. Krukovskii, Methods for Solving Inverse Problems in Heat Transfer [in Russian], Kiev (1982).

  5. 5.

    M. R. Romanovskii, Inzh.-Fiz. Zh.,42, No. 3, 476–483 (1982).

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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 57, No. 3, pp. 494–500, September, 1989.

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Romanovskii, M.R. Mathematical modeling of experiments with the help of inverse problems. Journal of Engineering Physics 57, 1112–1117 (1989). https://doi.org/10.1007/BF00870829

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  • Mathematical Modeling
  • Statistical Physic
  • Inverse Problem
  • Abstract Model
  • Maximum Information