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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MitwirkendeR: | |
HerausgeberIn: | |
Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2020] ©1992 |
Year of Publication: | 2020 |
Edition: | Reprint 2020 |
Language: | English |
Online Access: | |
Physical Description: | 1 online resource (XII, 594 p.) |
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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. APPLICATIONS
- A numerical method for solving inverse problem of deep magnetotelluric quasi-layered media sounding
- On numerical methods of solving inverse problems of electrical prospecting
- The solution stability and restrictions on the space scatterer spectrum in the two-dimensional monochromatic inverse scattering problem
- Inverse problems of astrophysics
- Methods of solving the ion exchange inverse problem in counter-current columns
- Numerical methods for optical thin films at the National Research Council of Canada
- Inverse scattering and synthesis problems in the diffraction theory
- The construction of numerical algorithms for ill-posed problems with random errors in initial data
- A unified approach to the creation of knowledge-based systems for identification of some classes of nonstationary processes
- Inverse problems in vibrational spectroscopy
- Inverse problems in electroencephalography and their numerical solving
- A numerical method of crack determination by the boundary integral equation method
- Regularization method in nonstationary inverse scattering problem
- Numerical methods for inverse scattering problems in two-dimensional scalar field
- On the hypersingular first kind integral equations for problems of electromagnetic scattering from screen surfaces
- List of Contributors
- National Organizing Committee