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Found 70 Documents (Results 1–70)

Error estimation of approximate solutions to one inverse problem for a parabolic equation. (English. Russian original) Zbl 1180.35573

Russ. Math. 53, No. 9, 38-44 (2009); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2009, No. 9, 46-52 (2009).
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Order-optimal methods for the approximation of a piecewise-continuous solution to a certain inverse problem. (English. Russian original) Zbl 1145.65065

Russ. Math. 51, No. 3, 60-67 (2007); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2007, No. 3, 65-72 (2007).
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Order-optimality of the projection regularization method as applied to conditionally well-posed problems. (English. Russian original) Zbl 1144.47009

Dokl. Math. 74, No. 2, 755-757 (2006); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 410, No. 6, 741-743 (2006).
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Theory of linear ill-posed problems and its applications. Transl., updated and revised from the Russian edition 1978. 2nd ed. (English) Zbl 1037.65056

Inverse and Ill-Posed Problems Series. Utrecht: VSP (ISBN 90-6764-367-X/hbk). xiii, 281 p. (2002).
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On convergence criteria for approximations to the regularization method. (English. Russian original) Zbl 0944.47007

Sib. Math. J. 40, No. 1, 110-130 (1999); translation from Sib. Mat. Zh. 40, No. 1, 130-141 (1999).
MSC:  47A50 47A58 49R50 65J10
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A criterion for convergence of regularization method approximation in Banach spaces. (English. Russian original) Zbl 0960.65062

Dokl. Math. 58, No. 3, 449-451 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 363, No. 5, 599-601 (1998).
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On a new approach to regularization of ill-posed problems. (English. Russian original) Zbl 0851.47007

Russ. Acad. Sci., Dokl., Math. 49, No. 2, 394-397 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 335, No. 5, 565-566 (1994).
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On a condition for minimality of locally convex spaces in the solution of ill-posed problems. (English. Russian original) Zbl 0827.47009

Russ. Acad. Sci., Dokl., Math. 48, No. 3, 475-477 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 333, No. 2, 155-156 (1993).
MSC:  47A50 46A03 35R25
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On the well-posedness of conditionally well-posed problems in locally convex spaces. (English. Russian original) Zbl 0833.47008

Russ. Acad. Sci., Dokl., Math. 46, No. 1, 165-168 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 325, No. 6, 1107-1110 (1992).
MSC:  47A50 35R25
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The estimation of the error of the regularization method for ill-posed problems with noninjective operator. (English) Zbl 0785.65068

Tikhonov, Andrej N. (ed.) et al., Ill-posed problems in natural sciences. Proceedings of the international conference held in Moscow (Russia), August 19-25, 1991. Utrecht: VSP. 184-190 (1992).
MSC:  65J10 65J20 47A50
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On optimization of regularization methods for singular operator equations of the first kind. (English. Russian original) Zbl 0698.47011

Sov. Math., Dokl. 37, No. 1, 42-45 (1988); translation from Dokl. Akad. Nauk SSSR 298, No. 1, 49-52 (1988).
Reviewer: N.A.Warsi
MSC:  47A50 35R25 65J10
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On optimality of regularization methods for linear operator equations with an approximately given operator under the condition of nonuniqueness of the solution. (English. Russian original) Zbl 0608.47014

Sov. Math., Dokl. 32, 289-292 (1985); translation from Dokl. Akad. Nauk SSSR 283, 1092-1095 (1985).
Reviewer: N.Warsi
MSC:  47A50 49J27 35R25
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Necessary and sufficient conditions for convergence of finite-dimensional approximations of regularized solutions. (English. Russian original) Zbl 0535.41039

Sov. Math., Dokl. 25, 841-842 (1982); translation from Dokl. Akad. Nauk SSSR 264, 1094-1096 (1982).
Reviewer: W.Krabs
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On optimal methods for solving illposed problems with an approximately specified operator and error estimates for the methods. (English. Russian original) Zbl 0402.65033

U.S.S.R. Comput. Math. Math. Phys. 17(1977), No. 2, 1-9 (1978); translation from Zh. Vychisl. Mat. Mat. Fiz. 17, 291-297 (1977).
MSC:  65J10 47A50
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