Ill-posed problems in natural sciences proceedings of the international conference held in Moscow, August 19 - 25, 1991

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Weitere Verfasser: Tichonov, Andrej N. (HerausgeberIn)
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Veröffentlicht: Utrecht [u.a.] VSP [u.a.] 1992
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Datensatz im Suchindex

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adam_text Xl CONTENTS Preface Part 1. THEORY AND METHODS OF SOLVING ILL-POSED PROBLEMS Generalized maximum likelihood method and its application for solving ill-posed problems jV.Ya. Araenin| and A.V. Krianev 3 Iterative method for the solution of nonlinear ill-posed problems and their applications A.B. Bakusbinskii 13 Uniform regularization of first kind operator equations in Hubert space A.V. Cherepakhin 18 On the discretization error in regularized projection methods with parameter choice by discrepancy principle U. Hãmarik 24 Regularization and uniqueness of solutions of systems of Volterra nonlinear integral equations of the first kind with two arguments M.I. bnanahev and A.A. Asanov 29 Pointwise residual method for solving systems of linear algebraic equations and inequalities A.Yu. Ivanitskii, F.P. Vasil ev, and V.A. Morozov 33 Optimality region of the m-step Lavrentiev method T.Kibo 44 Multilevel iterative methods for ill-posed problems J.T. King 48 The method of minimal pseudoinversed matrix. Basic statements A.S. Leonor 57 Variational algorithms with a posteriori choice of the regularization parameter for solving ill-posed extremal problems A.S. Leonov 63 Tikhonov s approach for constructing regularizing algorithms AS. Leonor and A.G. Vagola 71 Regularization algorithms for solving ill-posed criterion problems A.M. Levin 84 On the numerical solution of the ill-posed problems of construction of approximate solutions of singular integral equations of second kind A.F. Matveev 88 Regularization methods for ill-posed boundary problems I.V. MeJ nikova 93 Modified Tikhonov regularization for nonlinear ill-posed problems leading to optimal convergence rates A. Neubauer 104 On dynamical restoration of parameters of elliptic systems Yu.S. Osipov and A.I. Korotidi 108 Extreme value estimation, a method for regularizing ill-posed inversion problems P. Paatero 118 Two iterative schemes for solving linear non-necessarily well-posed problems in Banach spaces R. Plato 134 On the regularization parameter choice for ill-posed problems with a quasisolution T. Raus 144 An operator method of regularization of nonlinear monotone ill-posed problems J. Rjazanceva 149 On the numerical inversion of the Laplace transform with boundary constraints G. Rodriguez and S. Seatzu 155 Regularization of difference schemes A.A. Samarsidi and P.N. Vabisbchevicb 166 Пі -posed problems of on-line conditionally optimal filtering I.N. Sinitsyn 174 The estimation of the error of the regularizat ion method for ill-posed problems with noninjective operator V.P. Iknana and T.N. Rodakom 184 Some numerical methods of parameter identification in nonlinear models 0. Vaarmann 191 Identification of filtration coefficient G. Vainikko 202 Ш -posed problems and iterative approximation of fixed points of pseudo-contractive mappings V.V. Vasin 214 Part 2. INVERSE PROBLEMS IN MATHEMATICAL PHYSICS Nonlinear inverse problems of acoustic potential G.V. Alekseyev and A.Yu. Chebotarev 227 A measure thoretic approach for studying inverse problems of the heat equation and the wave equation G. Anger 233 New methods and results in multidimensional inverse problems for kinetic equations Yii.E. Aniionov 244 An inverse problem originating from magnetohydrodynamics. Some numerical experiments E. Beretta, E. Fischer, and M. Vogeäus 254 Inverse conductivity problem in the two-dimensional case V.G. Cberednicbenko and G.V. Veryoviina 270 Inverse problems for a system of nonlinear partial differential equations A.M. Denisov 277 An inverse problem in three-dimensional linear thermoviscoelasticity of Boltzmann type M. Grasselli 284 An inverse boundary value problem for the equation of the plate in the Love-Kirchhoff theory M. Ikebata 300 Inverse problems for the nonstationary kinetic transport equation A.L. Jvaniov 307 Optimization methods of solving inverse problems of geoelectrics S.I Kabanikbin and A.L. Karcbevsky 312 On passage to the limit in the inverse problems for nondivergence parabolic equations V.L. Kamynin 326 One method of solution of the inverse problems for layered media MM. Lavrent ev, Jr. 333 Identification problems for integrodifferential equations A. Lorenzi 342 The Fredholm solvability of inverse problems for abstract differential equations D.G. Orlavskii 367 Regularized traces of singular differential operators of higher orders A.S. Pecbentsov 375 Inverse problems for evolution equations A.I. Prilepko, A.B. Kostin, and I.V. Tikbonov 379 Inverse problems in mathematical physics A.I. Prilepko, D.G. Orlovsku, and I.A. Vasm 390 Stability estimates for inverse problems of geoelectrics V.G. Romanov 408 Inverse problems for elliptic differential operators V.A. Sadovnichii, V.V. Dubrovskii, and A.V. Nagorny 417 Inverse boundary value problems in viscous fluid dynamics LA. Vasin 423 On some inverse problems for the time-dependent transport equation N.P. Volkov 431 Determination of constant parameters in some semilinear parabolic equations M. Yamamoto 439 Part 3. APPLICATIONS A numerical method for solving inverse problem of deep magnetotelluric quasi-layered media sounding IS Barasbkov and VI. Dmitriev 449 On numerical methods of solving inverse problems of electrical prospecting S.M. Bersenev 454 The solution stability and restrictions on the space scatterer spectrum in the two-dimensional monochromatic invene scattering problem V.A. Burov and O.D. Rumiantseva 463 Inverse problems of astrophysics AM. Cberepasbcbuk, A.V. Goncbarskii, and A.G. Yagola 472 Methods of solving the ion exchange inverse problem in counter-current columns A.M. Denisov, S.R. Tuilrina, and A.V. Chánov 482 Numerical methods for optical thin films at the National Research Council of Canada J.A. Dobrowobki 487 Inverse scattering and synthesis problems in the diffraction theory Ju.A. Eremin and A.G. Svesbnikov 504 The construction of numerical algorithms for ill-posed problems with random errors in initial data AM. Fedotov 515 A unified approach to the creation of knowledge- based systems for identification of some classes of nonstationary processes V.Ya. Gallon and V.A. Karpenko 525 Inverse problems in vibrational spectroscopy I.V. Kocbikov, G.M. Kuramsbina, Yn.A. Pentin, and A.G. Yagola 535 Inverse problems in electroencephalography and their numerical solving Yu.M. Koptelov and E.V. Zakbarov 543 A numerical method of crack determination by the boundary integral equation method N.Nbhimura 553 Regularization method in nonstationary inverse scattering problem L. Nizimik and K. Romanen fco 563 Numerical methods for inverse scattering problems in two-dimensional scalar field K. Onisni 568 On the hypersingular first kind integral equations for problems of electromagnetic scattering from screen surfaces E.V. Zakhaxov and I.V. Halejeva 584 List of Contributors 595 National Organizing Committee 596
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spellingShingle Ill-posed problems in natural sciences proceedings of the international conference held in Moscow, August 19 - 25, 1991
Naturwissenschaften (DE-588)4041421-8 gnd
Inkorrekt gestelltes Problem (DE-588)4186951-5 gnd
Mathematische Physik (DE-588)4037952-8 gnd
Inverses Problem (DE-588)4125161-1 gnd
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title Ill-posed problems in natural sciences proceedings of the international conference held in Moscow, August 19 - 25, 1991
title_auth Ill-posed problems in natural sciences proceedings of the international conference held in Moscow, August 19 - 25, 1991
title_exact_search Ill-posed problems in natural sciences proceedings of the international conference held in Moscow, August 19 - 25, 1991
title_full Ill-posed problems in natural sciences proceedings of the international conference held in Moscow, August 19 - 25, 1991 ed.-in-chief Andrei N. Tikhonov
title_fullStr Ill-posed problems in natural sciences proceedings of the international conference held in Moscow, August 19 - 25, 1991 ed.-in-chief Andrei N. Tikhonov
title_full_unstemmed Ill-posed problems in natural sciences proceedings of the international conference held in Moscow, August 19 - 25, 1991 ed.-in-chief Andrei N. Tikhonov
title_short Ill-posed problems in natural sciences
title_sort ill posed problems in natural sciences proceedings of the international conference held in moscow august 19 25 1991
title_sub proceedings of the international conference held in Moscow, August 19 - 25, 1991
topic Naturwissenschaften (DE-588)4041421-8 gnd
Inkorrekt gestelltes Problem (DE-588)4186951-5 gnd
Mathematische Physik (DE-588)4037952-8 gnd
Inverses Problem (DE-588)4125161-1 gnd
topic_facet Naturwissenschaften
Inkorrekt gestelltes Problem
Mathematische Physik
Inverses Problem
Konferenzschrift 1991 Moskau
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