Abstract
The synthesis of a Tikhonov-regularizing algorithm is discussed for the solution of integral equations in inverse heat-conduction problems of the first kind.
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L. I. Kamynin, Izv. Akad. Nauk SSSR, Ser. Matem.,28, 721–744 (1964).
M. Stoltz, Trans. ASME, Ser. C: J. Heat Transfer,82, No. 1, 20 (1960).
J. V. Beck, ASME Paper No. HT-46 (1962).
E. M. Sparrow, A. Haji-Sheikh, and T. S. Lundgren, Trans. ASME, Ser. E: J. Appl. Mech.,86, No. 3, 369–375 (1964).
A. N. Tikhonov and V. B. Glasko, Zh. Vychislit. Matem. i Matem. Fiz.,7, No. 4, 910–914 (1967).
G. T. Aldoshin, A. S. Golosov, and V. I. Zhuk, Heat and Mass Transfer [in Russian], Vol. 8, Nauka i Tekhnika, Minsk (1968).
O. M. Alifanov, in: Studies in Convective Heat and Mass Transfer [in Russian], Nauka i Tekhnika, Minsk (1971).
V. A. Morozov, Dokl. Akad. Nauk SSSR,175, No. 6, 1225–1228 (1967).
V. A. Morozov, Zh. Vychislit. Matem. i Matem. Fiz.,8, No. 2, 295–309 (1968).
V. K. Ivanov, Zh. Vychislit. Matem. i Matem. Fiz.,6, No. 6, 1089–1094 (1966).
D. L. Phillips, J. Assoc. Computing Mach.,9, No. 1, 84–97 (1962).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 23, No. 6, pp. 1084–1091, December, 1972.
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Alifanov, O.M. Application of the regularization principle to the formulation of approximate solutions of inverse heat-conduction problems. Journal of Engineering Physics 23, 1566–1571 (1972). https://doi.org/10.1007/BF00826526
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DOI: https://doi.org/10.1007/BF00826526