دانلود کتاب Ill-Posed Problems in Natural Sciences: Proceedings of the International Conference Held in Moscow, August 19–25, 1991

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CONTENTS\nPreface\nPart 1. THEORY AND METHODS OF SOLVING ILL-POSED PROBLEMS\nGeneralized maximum likelihood method and its application for solving ill-posed problems\nIterative method for the solution of nonlinear ill-posed problems and their applications\nUniform regularization of first kind operator equations in Hilbert space\nOn the discretization error in regularized projection methods with parameter choice by discrepancy principle\nRegularization find uniqueness of solutions of systems of Volterra nonlinear integral equations of the first kind with two arguments\nPointwise residual method for solving systems of linear algebraic equations and inequalities\nOptimality region of the m-step Lavrentiev method\nMultilevel iterative methods for ill-posed problems\nThe method of minimal pseudoinversed matrix. Basic statements\nVariational algorithms with a posteriori choice of the regularization parameter for solving ill-posed extremal problems\nTikhonov\'s approach for constructing regularizing algorithms\nRegularization algorithms for solving ill-posed criterion problems\nOn the numerical solution of the ill-posed problems of construction of approximate solutions of singular integral equations of second kind\nRegularization methods for ill-posed boundary problems\nModified Tikhonov regularization for nonlinear ill-posed problems leading to optimal convergence rates\nOn dynamical restoration of parameters of elliptic systems\nExtreme value estimation, a method for regularizing ill-posed inversion problems\nTwo iterative schemes for solving linear non-necessarily well-posed problems in Banach spaces\nOn the regularization parameter choice for ill-posed problems with a quasisolution\nAn operator method of regularization of nonlinear monotone ill-posed problems\nOn the numerical inversion of the Laplace transform with boundary constraints\nRegularization of difference schemes\nIll-posed problems of on-line conditionally optimal filtering\nThe estimation of the error of the regularization method for ill-posed problems with noninjective operator\nSome numerical methods of parameter identification in nonlinear models\nIdentification of filtration coefficient\nIll-posed problems and iterative approximation of fixed points of pseudo-contractive mappings\nPart 2. INVERSE PROBLEMS IN MATHEMATICAL PHYSICS\nNonlinear inverse problems of acoustic potential\nA measure thoretic approach for studying inverse problems of the heat equation and the wave equation\nNew methods and results in multidimensional inverse problems for kinetic equations\nAn inverse problem originating from magnetohydrodynamics. Some numerical experiments\nInverse conductivity problem in the two-dimensional case\nInverse problems for a system of nonlinear partial differential equations\nAn inverse problem in three-dimensional linear thermoviscoelasticity of Boltzmann type\nAn inverse boundary value problem for the equation of the plate in the Love-Kirchhoff theory\nInverse problems for the nonstationary kinetic transport equation\nOptimization methods of solving inverse problems of geoelectrics\nOn passage to the limit in the inverse problems for nondivergence parabolic equations\nOne method of solution of the inverse problems for layered media\nIdentification problems for integrodifferential equations\nThe Fredholm solvability of inverse problems for abstract differential equations\nRegularized traces of singular differential operators of higher orders\nInverse problems for evolution equations\nInverse problems in mathematical physics\nStability estimates for inverse problems of geoelectrics\nInverse problems for elliptic differential operators\nInverse boundary value problems in viscous fluid dynamics\nOn some inverse problems for the time-dependent transport equation\nDetermination of constant parameters in some semilinear parabolic equations\nPart 3. APPLICATIONS\nA numerical method for solving inverse problem of deep magnetotelluric quasi-layered media sounding\nOn numerical methods of solving inverse problems of electrical prospecting\nThe solution stability and restrictions on the space scatterer spectrum in the two-dimensional monochromatic inverse scattering problem\nInverse problems of astrophysics\nMethods of solving the ion exchange inverse problem in counter-current columns\nNumerical methods for optical thin films at the National Research Council of Canada\nInverse scattering and synthesis problems in the diffraction theory\nThe construction of numerical algorithms for ill-posed problems with random errors in initial data\nA unified approach to the creation of knowledge-based systems for identification of some classes of nonstationary processes\nInverse problems in vibrational spectroscopy\nInverse problems in electroencephalography and their numerical solving\nA numerical method of crack determination by the boundary integral equation method\nRegularization method in nonstationary inverse scattering problem\nNumerical methods for inverse scattering problems in two-dimensional scalar field\nOn the hypersingular first kind integral equations for problems of electromagnetic scattering from screen surfaces\nList of Contributors\nNational Organizing Committee