Ill-Posed Problems in Natural Sciences (eBook, PDF)

Proceedings of the International Conference Held in Moscow, August 19-25, 1991
Redaktion: Tikhonov, Andrei N.

• Format: PDF

Produktbeschreibung

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

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: De Gruyter
• Seitenzahl: 606
• Erscheinungstermin: 18. Mai 2020
• Englisch
• ISBN-13: 9783112313930
• Artikelnr.: 59421530