Table of Contents
Frontmatter — CONTENTS — Preface — Part 1. THEORY AND METHODS OF SOLVING ILL-POSED PROBLEMS — Generalized maximum likelihood method and its application for solving ill-posed problems — Iterative method for the solution of nonlinear ill-posed problems and their applications — Uniform regularization of first kind operator equations in Hilbert space — On the discretization error in regularized projection methods with parameter choice by discrepancy principle — Regularization find uniqueness of solutions of systems of Volterra nonlinear integral equations of the first kind with two arguments — Pointwise residual method for solving systems of linear algebraic equations and inequalities — Optimality region of the m-step Lavrentiev method — Multilevel iterative methods for ill-posed problems — The method of minimal pseudoinversed matrix. Basic statements — Variational algorithms with a posteriori choice of the regularization parameter for solving ill-posed extremal problems — Tikhonov's approach for constructing regularizing algorithms — Regularization algorithms for solving ill-posed criterion problems — On the numerical solution of the ill-posed problems of construction of approximate solutions of singular integral equations of second kind — Regularization methods for ill-posed boundary problems — Modified Tikhonov regularization for nonlinear ill-posed problems leading to optimal convergence rates — On dynamical restoration of parameters of elliptic systems — Extreme value estimation, a method for regularizing ill-posed inversion problems — Two iterative schemes for solving linear non-necessarily well-posed problems in Banach spaces — On the regularization parameter choice for ill-posed problems with a quasisolution — An operator method of regularization of nonlinear monotone ill-posed problems — On the numerical inversion of the Laplace transform with boundary constraints — Regularization of difference schemes — Ill-posed problems of on-line conditionally optimal filtering — The estimation of the error of the regularization method for ill-posed problems with noninjective operator — Some numerical methods of parameter identification in nonlinear models — Identification of filtration coefficient — Ill-posed problems and iterative approximation of fixed points of pseudo-contractive mappings — Part 2. INVERSE PROBLEMS IN MATHEMATICAL PHYSICS — Nonlinear inverse problems of acoustic potential — A measure thoretic approach for studying inverse problems of the heat equation and the wave equation — New methods and results in multidimensional inverse problems for kinetic equations — An inverse problem originating from magnetohydrodynamics. Some numerical experiments — Inverse conductivity problem in the two-dimensional case — Inverse problems for a system of nonlinear partial differential equations — An inverse problem in three-dimensional linear thermoviscoelasticity of Boltzmann type — An inverse boundary value problem for the equation of the plate in the Love-Kirchhoff theory — Inverse problems for the nonstationary kinetic transport equation — Optimization methods of solving inverse problems of geoelectrics — On passage to the limit in the inverse problems for nondivergence parabolic equations — One method of solution of the inverse problems for layered media — Identification problems for integrodifferential equations — The Fredholm solvability of inverse problems for abstract differential equations — Regularized traces of singular differential operators of higher orders — Inverse problems for evolution equations — Inverse problems in mathematical physics — Stability estimates for inverse problems of geoelectrics — Inverse problems for elliptic differential operators — Inverse boundary value problems in viscous fluid dynamics — On some inverse problems for the time-dependent transport equation — Determination of constant parameters in some semilinear parabolic equations — Part 3. A
