Книги, изданные ТВП
Тихонов А. Н. (Гл. ред.)
Некорректно поставленные задачи в естественных науках
Труды Международной Московской конференции, 19-25 августа 1991 г.
Цена: 25.50 руб.
Книга составлена из научных статей, представленных участниками
Первой Международной конференции "Некорректно поставленные
задачи в естественных науках", которая проходила в Москве
с 19 по 25 августа 1991 года. Материал книги представляет интерес
для специалистов в области прикладной математики, математической
физики,
теории некорректно поставленных и обратных задач, а также
исследователей
и инженеров, применяющих современные математические методы в акустике,
астрофизике, геофизике, материаловедении, оптике, спектроскопии,
томографии, электротехнике, энцефалографии, ядерной физике.
CONTENTS
- Preface
- Part I. 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
- A.B.Bakushinskii
- Uniform regularization of first kind operator equations in
Hilbert
space
- A.V.Cherepakhin
- On the discretization error in regularized projection methods
with
parameter choice by discrepancy principle
- U.Hämarik
- Regularization and uniqueness of solutions of systems of
Volterra
nonlinear integral equations of the first kind with two arguments
- M.I.Imanaliev and A.A.Asanov
- Pointwise residual method for solving systems of linear
algebraic
equations and inequalities
- A.Yu.Ivanitskii, F.P.Vasil'ev, and V.A.Morozov
- Optimality region of the m-step Lavrentiev method
- T.Kiho
- Multilevel iterative methods for ill-posed problems
- J.T.King
- The method of minimal pseudoinversed matrix. Basic statements
- A.S.Leonov
- Variational algorithms with a posteriori choice of the
regularization parameter for solving ill-posed extremal problems
- A.S.Leonov
- Tikhonov's approach for constructing regularizing algorithms
- A.S.Leonov and A.G.Yagola
- Regularization algorithms for solving ill-posed criterion
problems
- A.M.Levin
- On the numerical solution of the ill-posed problems of
construction
of approximate solutions of singular integral equations of the second
kind
- A.F.Matveev
- Regularization methods for ill-posed boundary problems
- I.V.Mel'nikova
- Modified Tikhonov regularization for nonlinear ill-posed
problems
leading to optimal convergence rates
- A.Neubauer
- On dynamical restoration of parameters of elliptic systems
- Yu.S.Osipov and A.I.Korotkii
- Extreme value estimation, a method for regularizing ill-posed
inversion problems
- P.Paatero
- Two iterative schemes for solving linear non-necessarily
well-posed
problems in Banach spaces
- R.Plato
- On the regularization parameter choice for ill-posed problems
with a quasisolution
- T.Raus
- An operator method of regularization of nonlinear monotone
ill-posed
problems
- I.Rjazanceva
- On the numerical inversion of the Laplace transform with
boundary
constraints
- G.Rodriguez and S.Seatzu
- Regularization of difference schemes
- A.A.Samarskii and P.N.Vabishchevich
- Ill-posed problems of on-line conditionally optimal filtering
- I.N.Sinitsyn
- The estimation of the error of the regularization method for
ill-posed problems with noninjective operator
- V.P.Tanana and T.N.Rudakova
- Some numerical methods of parameter identification in
nonlinear
models
- O.Vaarmann
- Identification of filtration coefficient
- G.Vainikko
- Ill-posed problems and iterative approximation of fixed
points of
pseudo-contractive mappings
- V.V.Vasin
- Part 2. INVERSE PROBLEMS IN MATHEMATICAL PHYSICS
- Nonlinear inverse problems of acoustic potential
- G.V.Alekseyev and A.Yu.Chebotarev
- A measure theoretic approach for studying inverse problems of
the
heat equation and the wave equation
- G.Anger
- New methods and results in multidimentional inverse problems
for kinetic equations
- Yu.E.Anikonov
- An inverse problem originating from magnetohydrodynamics.
Some numerical experiments
- E.Beretta, E.Fischer, and M.Vogelius
- Inverse conductivity problem in the two-dimentional case
- V.G.Cherednichenko and G.V.Veryovkina
- Inverse problems for a system of nonlinear partial
differential
equations
- A.M.Denisov
- An inverse problem in three-dimensional linear
thermovicoelasticity
of Boltzmann type
- M.Grasselli
- An inverse boundary value problem for the equation of the
plate
in the Love-Kirchhoff theory
- M.Ikehata
- Inverse problems for the nonstationary kinetic transport
equation
- A.L.Ivankov
- Optimization methods of solving inverse problems of
geoelectrics
- S.I.Kabanikhin and A.L.Karchevsky
- On passage to the limit in the inverse problems for
nondivergence
parabolic equations
- V.L.Kamynin
- One method of solution of the inverse problems for layered
media
- M.M.Lavrent'ev, Jr.
- Identification problems for integrodifferential equations
- A.Lorenzi
- The Fredholm solvability of inverse problems for abstract
differential equations
- D.G.Orlovskii
- Regularized traces of singular differential operators of
higher
orders
- A.S.Pechentsov
- Inverse problems for evolution equations
- A.I.Prilepko, A.B.Kostin, and I.V.Tikhonov
- Inverse problems in mathematical physics
- A.I.Prilepko, D.G.Orlovskii, and I.A.Vasin
- Stability estimates for inverse problems of geoelectrics
- V.G.Romanov
- Inverse problems for elliptic differential operators
- V.A.Sadovnichii, V.V.Dubrovskii, and A.V.Nagorny
- Inverse boundary value problems in viscous fluid dynamics
- I.A.Vasin
- On some inverse problems for the time-dependent transport
equation
- N.P.Volkov
- Determination of constant parameters in some semilinear
parabolic equations
- M.Yamamoto
- Part 3. APPLICATIONS
- A numerical method for solving inverse problem of deep
magnetotelluric quasi-layered media sounding
- I.S.Barashkov and V.I.Dmitriev
- On numerical methods of solving inverse problems of
electrical
prospecting
- S.M.Bersenev
- The solution stability and restrictions on the space
scatterer
spectrum in the two-dimensional monochromatic inverse scattering problem
- V.A.Burov and O.D.Rumiantseva
- Inverse problems of astrophysics
- A.M.Cherepashchuk, A.V.Goncharskii, and A.G.Yagola
- Methods of solving the ion exchange inverse problem in
counter-current columns
- A.M.Denisov, S.R.Tuikina, and A.V.Chanov
- Numerical methods for optical thin films at the National
Research
Council of Canada
- J.A.Dobrowolski
- Inverse scattering and synthesis problems in the diffraction
theory
- Ju.A.Eremin and A.G.Sveshnikov
- The construction of numerical algorithms for ill-posed
problems
with random errors in initial data
- A.M.Fedotov
- A unified approach to the creation of knowledge-based systems
for
identification of some classes of nonstationary processes
- V.Ya.Galkin and V.A.Karpenko
- Inverse problems in vibrational spectroscopy
- I.V.Kochikov, G.M.Kuramshina, Yu.A.Pentin, and A.G.Yagola
- Inverse problems in electroencephalography and their
numerical
solving
- Yu.M.Koptelov and E.V.Zakharov
- A numerical method of crack determination by the boundary
integral
equation method
- N.Nishimura
- Regularization method in nonstationary inverse scattering
problem
- L.Nizhnik and R.Romanenko
- Numerical methods for inverse scattering problems in
two-dimensional scalar field
- K.Onishi
- On the hypersingular first kind integral equations for
problems of
electromagnetic scattering from screen surfaces
- E.V.Zakharov and I.V.Halejeva
- List of Contributors
- National Organizing Committee
1992, ISBN 5-85484-001-4, 608 с., на англ. яз.
