Ill-Posed Problems in Natural Sciences : : Proceedings of the International Conference Held in Moscow, August 19–25, 1991 / / ed. by Andrei N. Tikhonov.
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Superior document: | Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999 |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2020] ©1992 |
Year of Publication: | 2020 |
Edition: | Reprint 2020 |
Language: | English |
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Physical Description: | 1 online resource (XII, 594 p.) |
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245 | 0 | 0 | |a Ill-Posed Problems in Natural Sciences : |b Proceedings of the International Conference Held in Moscow, August 19–25, 1991 / |c ed. by Andrei N. Tikhonov. |
250 | |a Reprint 2020 | ||
264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2020] | |
264 | 4 | |c ©1992 | |
300 | |a 1 online resource (XII, 594 p.) | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
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505 | 0 | 0 | |t Frontmatter -- |t CONTENTS -- |t Preface -- |t Part 1. THEORY AND METHODS OF SOLVING ILL-POSED PROBLEMS -- |t Generalized maximum likelihood method and its application for solving ill-posed problems -- |t Iterative method for the solution of nonlinear ill-posed problems and their applications -- |t Uniform regularization of first kind operator equations in Hilbert space -- |t On the discretization error in regularized projection methods with parameter choice by discrepancy principle -- |t Regularization find uniqueness of solutions of systems of Volterra nonlinear integral equations of the first kind with two arguments -- |t Pointwise residual method for solving systems of linear algebraic equations and inequalities -- |t Optimality region of the m-step Lavrentiev method -- |t Multilevel iterative methods for ill-posed problems -- |t The method of minimal pseudoinversed matrix. Basic statements -- |t Variational algorithms with a posteriori choice of the regularization parameter for solving ill-posed extremal problems -- |t Tikhonov's approach for constructing regularizing algorithms -- |t Regularization algorithms for solving ill-posed criterion problems -- |t On the numerical solution of the ill-posed problems of construction of approximate solutions of singular integral equations of second kind -- |t Regularization methods for ill-posed boundary problems -- |t Modified Tikhonov regularization for nonlinear ill-posed problems leading to optimal convergence rates -- |t On dynamical restoration of parameters of elliptic systems -- |t Extreme value estimation, a method for regularizing ill-posed inversion problems -- |t Two iterative schemes for solving linear non-necessarily well-posed problems in Banach spaces -- |t On the regularization parameter choice for ill-posed problems with a quasisolution -- |t An operator method of regularization of nonlinear monotone ill-posed problems -- |t On the numerical inversion of the Laplace transform with boundary constraints -- |t Regularization of difference schemes -- |t Ill-posed problems of on-line conditionally optimal filtering -- |t The estimation of the error of the regularization method for ill-posed problems with noninjective operator -- |t Some numerical methods of parameter identification in nonlinear models -- |t Identification of filtration coefficient -- |t Ill-posed problems and iterative approximation of fixed points of pseudo-contractive mappings -- |t Part 2. INVERSE PROBLEMS IN MATHEMATICAL PHYSICS -- |t Nonlinear inverse problems of acoustic potential -- |t A measure thoretic approach for studying inverse problems of the heat equation and the wave equation -- |t New methods and results in multidimensional inverse problems for kinetic equations -- |t An inverse problem originating from magnetohydrodynamics. Some numerical experiments -- |t Inverse conductivity problem in the two-dimensional case -- |t Inverse problems for a system of nonlinear partial differential equations -- |t An inverse problem in three-dimensional linear thermoviscoelasticity of Boltzmann type -- |t An inverse boundary value problem for the equation of the plate in the Love-Kirchhoff theory -- |t Inverse problems for the nonstationary kinetic transport equation -- |t Optimization methods of solving inverse problems of geoelectrics -- |t On passage to the limit in the inverse problems for nondivergence parabolic equations -- |t One method of solution of the inverse problems for layered media -- |t Identification problems for integrodifferential equations -- |t The Fredholm solvability of inverse problems for abstract differential equations -- |t Regularized traces of singular differential operators of higher orders -- |t Inverse problems for evolution equations -- |t Inverse problems in mathematical physics -- |t Stability estimates for inverse problems of geoelectrics -- |t Inverse problems for elliptic differential operators -- |t Inverse boundary value problems in viscous fluid dynamics -- |t On some inverse problems for the time-dependent transport equation -- |t Determination of constant parameters in some semilinear parabolic equations -- |t Part 3. APPLICATIONS -- |t A numerical method for solving inverse problem of deep magnetotelluric quasi-layered media sounding -- |t On numerical methods of solving inverse problems of electrical prospecting -- |t The solution stability and restrictions on the space scatterer spectrum in the two-dimensional monochromatic inverse scattering problem -- |t Inverse problems of astrophysics -- |t Methods of solving the ion exchange inverse problem in counter-current columns -- |t Numerical methods for optical thin films at the National Research Council of Canada -- |t Inverse scattering and synthesis problems in the diffraction theory -- |t The construction of numerical algorithms for ill-posed problems with random errors in initial data -- |t A unified approach to the creation of knowledge-based systems for identification of some classes of nonstationary processes -- |t Inverse problems in vibrational spectroscopy -- |t Inverse problems in electroencephalography and their numerical solving -- |t A numerical method of crack determination by the boundary integral equation method -- |t Regularization method in nonstationary inverse scattering problem -- |t Numerical methods for inverse scattering problems in two-dimensional scalar field -- |t On the hypersingular first kind integral equations for problems of electromagnetic scattering from screen surfaces -- |t List of Contributors -- |t National Organizing Committee |
506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
538 | |a Mode of access: Internet via World Wide Web. | ||
546 | |a In English. | ||
588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Nov 2021) | |
650 | 4 | |a Moskau. | |
650 | 4 | |a Wissenschaft. | |
650 | 7 | |a MATHEMATICS / General. |2 bisacsh | |
700 | 1 | |a Alekseyev, G. V., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Anger, G., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Anikonov, Yu. E., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Arsenin, V. Ya., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Asanov, A. A., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Bakushinskii, A. B., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Barashkov, I. S., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Beretta, E., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Bersenev, S. M., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Burov, V. A., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Chanov, A. V., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Chebotarev, A. Yu., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Cherednichenko, V. G., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Cherepakhin, A. V., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Cherepashchuk, A. M., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Denisov, A. M., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Dmitriev, V. I., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Dobrowolski, J. A., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Dubrovskii, V. V., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Eremin, Ju. A., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Fedotov, A. M., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Fischer, E., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Galkin, V. Ya., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Goncharskii, A. V., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Grasselli, M., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Halejeva, I. V., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Hämarik, U., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Ikehata, M., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Imanaliev, M. I., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Ivanitskii, A. Yu., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Ivankov, A. L., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Kabanikhin, S. I., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Kamynin, V. L., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Karchevsky, A. L., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Karpenko, V. A., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Kiho, T., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a King, J. T., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Kochikov, I . V., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Koptelov, Yu. M., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Korotkii, A. I., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Kostin, A. B., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Krianev, A. V., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Kuramshina, G. M., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Lavrent’ev, M. M., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Leonov, A. S., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Levin, A. M., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Lorenzi, A., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Matveev, A. F., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Mel’nikova, I. V., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Morozov, V. A., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Nagorny, A. V., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Neubauer, A., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Nishimura, N., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Nizhnik, L., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Onishi, K., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Orlovskii, D. G., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Osipov, Yu. S., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Paatero, P., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Pechentsov, A. S., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Pentin, Yu. A., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Plato, R., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Prilepko, A. I., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Raus, T., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Rjazanceva, I., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Rodriguez, G., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Romanenko, R., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Romanov, V. G., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Rudakova, T. N., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Rumiantseva, O. D., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Sadovnichii, V. A., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Samarskii, A. A., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Seatzu, S., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Sinitsyn, I. N., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Sveshnikov, A. G., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Taikina, S. R., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Tanana, V. P., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Tikhonov, Andrei N., |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
700 | 1 | |a Tikhonov, I. V., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Vaarmann, O., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Vabishchevich, P. N., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Vainikko, G., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Vasii’ev, F. P., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Vasin, I. A., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Vasin, V. V., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Veryovkina, G. V., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Vogelius, M., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Volkov, N. P., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Yagola, A. G., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Yamamoto, M., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
700 | 1 | |a Zakharov, E. V., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Mathematics - 1990 - 1999 |z 9783110637199 |o ZDB-23-GMA |
776 | 0 | |c print |z 9783112302668 | |
856 | 4 | 0 | |u https://doi.org/10.1515/9783112313930 |
856 | 4 | 0 | |u https://www.degruyter.com/isbn/9783112313930 |
856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9783112313930/original |
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