CONTROL OF ENERGY EFFICIENCY IN INDUSTRY AND HOUSING AND COMMUNAL SERVICES
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Estimation of information accuracy transformed by nonlinear method
Tatiana Sergeevna Kamaltdinova, senior lecturer of Computational Mathematics Department of South Ural State University, Chelyabinsk, Russian Federation, KamaltdinovaTS@mail.ru
Abstract
Inverse problem for thermal conductivity equation is solved by projection regularization method; and accuracy estimation of the solution is received.
Keywords
operator equations, regularization, optimal method, accuracy estimation, ill-posed problem
References
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3. Menihes, L.D. Konechnomernaya approksimaciya v metode M.M. Lavrent'eva / L.D. Menihes, V.P. Tanana // Sib. zhurn. vychisl. matematiki. – 1998. – T. 1. – № 1. – S. 416–423.
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5. Ivanov, V.K. Ob ocenke pogreshnosti pri reshenii nekorrektnyh zadach / V.K. Ivanov, T.I. Korolyuk // ZHurn. vychisl. matem. i matemat. fiziki. – 1969. – T. 9. – № 1. – S. 30–41.
6. Tanana, V.P. Metody resheniya operatornyh uravnenij / V.P. Tanana. – M.: Nauka, 1981.
7. Kolmogorov, A.N. EHlementy teorii funkcij i funkcional'nogo analiza / A.N. Kolmogorov, S.V. Fomin. – M.: Nauka, 1972.
8. Krejn, S.G. Funkcional'nyj analiz / S.G. Krejn. – M.: Nauka, 1972.
2. Tanana, V.P. Ob optimal'nom po poryadku metode resheniya uslovno-korrektnyh zadach / V.P. Tanana, N.M. YAparova // Sib. zhurn. vychisl. matematiki. – 2006. – T. 9. – № 4. – S. 154–168.
3. Menihes, L.D. Konechnomernaya approksimaciya v metode M.M. Lavrent'eva / L.D. Menihes, V.P. Tanana // Sib. zhurn. vychisl. matematiki. – 1998. – T. 1. – № 1. – S. 416–423.
4. Lyusternik, L.A. EHlementy funkcional'nogo analiza / L.A. Lyusternik, V.I. Sobolev. – M.: Nauka, 1965.
5. Ivanov, V.K. Ob ocenke pogreshnosti pri reshenii nekorrektnyh zadach / V.K. Ivanov, T.I. Korolyuk // ZHurn. vychisl. matem. i matemat. fiziki. – 1969. – T. 9. – № 1. – S. 30–41.
6. Tanana, V.P. Metody resheniya operatornyh uravnenij / V.P. Tanana. – M.: Nauka, 1981.
7. Kolmogorov, A.N. EHlementy teorii funkcij i funkcional'nogo analiza / A.N. Kolmogorov, S.V. Fomin. – M.: Nauka, 1972.
8. Krejn, S.G. Funkcional'nyj analiz / S.G. Krejn. – M.: Nauka, 1972.
Source
Bulletin of the South Ural State University. Ser. Computer Technologies, Automatic Control, Radio Electronics, 2012, iss. 17, no. 35 (294), pp. 25-29. (in Russ.) (The main)