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eBook Methods for Solving Operator Equations (Inverse and Ill-Posed Problems) ePub

eBook Methods for Solving Operator Equations (Inverse and Ill-Posed Problems) ePub

by Vitalifi Pavlovich Tanana,V. P. Tanana

  • ISBN: 9067642371
  • Category: Home Improvement and Design
  • Subcategory: Hobby
  • Author: Vitalifi Pavlovich Tanana,V. P. Tanana
  • Language: English
  • Publisher: De Gruyter; Reprint 2012 ed. edition (March 1, 1997)
  • Pages: 228
  • ePub book: 1446 kb
  • Fb2 book: 1950 kb
  • Other: lrf lrf lit rtf
  • Rating: 4.9
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Description

Vitalifi Pavlovich Tanana.

Vitalifi Pavlovich Tanana. The series aims to publish works which involve both theory and applications in, .

The book covers fundamentals of the theory of optimal methods for . Contents Modulus of continuity of the inverse operator and methods fo. .

The methods described in the current book are used to solve a number of inverse problems in mathematical physics. Contents Modulus of continuity of the inverse operator and methods for solving ill-posed problems Lavrent’ev methods for constructing approximate solutions of linear operator equations of the first kind Tikhonov regularization method ation method Inverse heat exchange problems.

For this inverse illposed problem an iterative regularizing method is proposed for the stable data reconstruction on the . We study a non-linear operator equation originating from a Cauchy problem for an elliptic equation.

For this inverse illposed problem an iterative regularizing method is proposed for the stable data reconstruction on the underspecified boundary part. Convergence is proven by showing that the method can be written as a Landwebertype procedure for an operator formulation of the incomplete data problem. This reformulation renders a stopping rule, the discrepancy principle, for terminating the iterations in the case of noisy data. The problem appears in applications where surface measurements are used to calculate the temperature below the earth surface.

Applied problems often require solving boundary value problems for partial differen-tial equations. Elaboration of approximate solution methods for such problems rests on the development and examination of numerical methods for boundary value prob-lems formulated for basic (fundamental, model) mathematical physics equations. The solution of a boundary value problem is to be found from the equation and from some additional conditions.

Possible approaches for solving nonlinear ill-posed problems and .

Possible approaches for solving nonlinear ill-posed problems and iterative methods are described briefly. Approximate Solution Regularization Parameter Operator Equation Posteriori Error Inverse Operator. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves. V. K. Ivanov, V. Vasin and V. P. Tanana, Theory of Linear Ill-Posed Problems and Its Applications, VSP, 2002.

Электронная книга "Theory of Linear Ill-Posed Problems and its Applications", Valentin K. Ivanov, Vladimir V. Vasin, Vitalii P. Tanana. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "Theory of Linear Ill-Posed Problems and its Applications" для чтения в офлайн-режиме.

Ill-Posed and Inverse Problems. Differential, Integral, Operator Equations. It can be said that specialists in inverse and ill-posed problems study the properties of and regularization methods for unstable problems. In other words, they develop and study stable methods for approximating unstable mappings. In terms of linear algebra, this means developing approximate methods of finding normal pseudo-solutions to systems of linear algebraic equations with rectangular, degenerate, or ill-conditioned matrices. In functional analysis, the main example of ill-posed. problems is represented by an operator equation Aq f

Key words: operator equations, regularization, optimal method, error estimation, ill-posed problem. Full text: PDF file (215 kB) References: PDF file HTML file

Key words: operator equations, regularization, optimal method, error estimation, ill-posed problem. Full text: PDF file (215 kB) References: PDF file HTML file. English version: Numerical Analysis and Applications, 2010, 3:4, 367–380. UDC: 51. 48 Received: 3. 5. Bibitem{Tan10} by .

The book presents a general method for solving operator equations, especially nonlinear and ill-posed. It requires a fairly modest background and is essentially self-contained. All the results are proved in the book, and some of the background material is also included. The results presented are mostly obtained by the author

Methods for Solving Operator Equations. Zerkol and . Trofimov. Nonclassical and Inverse Problems for. A n Introduction to Identification Problems.

Methods for Solving Operator Equations. Pseudoparabolic Equations. via Functional Analysis. sanov and EUAtamanov. Formulas in Inverse and Ill-Posed Problems. Coefficient Inverse Problems for Parabolic Type Vu.

The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.