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1

Numerical Solution of a Three-Dimensional Coefficient Inverse Problem for the Wave Equation with Integral Data in a Cylindrical Domain

Bakushinsky, A. B., Leonov, A. S.

Journal:

Numerical Analysis and Applications

Year:

2019

Language:

english

File:

PDF, 1.00 MB

english, 2019

2

Regularization Algorithms for Ill-Posed Problems || 4 Iterative Regularization Methods For Nonlinear Equations

Bakushinsky, Anatoly B., Kokurin, Mikhail M., Kokurin, Mikhail Yu.

Year:

2018

Language:

english

File:

PDF, 606 KB

english, 2018

3

A posteriori stopping rule for regularized fixed point iterations

Anatoly Bakushinsky, Alexandra Smirnova

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2006

Language:

english

File:

PDF, 107 KB

english, 2006

4

Iterative methods with fuzzy feedback for solving irregular operator equations

A. B. Bakushinsky

Journal:

Doklady Mathematics

Year:

2009

Language:

english

File:

PDF, 153 KB

english, 2009

5

A posteriori error estimates for approximate solutions of irregular operator equations

A. B. Bakushinsky

Journal:

Doklady Mathematics

Year:

2011

Language:

english

File:

PDF, 160 KB

english, 2011

6

Why a minimizer of the Tikhonov functional is closer to the exact solution than the first guess

Klibanov, Michael V., Bakushinsky, Anatoly B., Beilina, Larisa

Journal:

Journal of Inverse and Ill-Posed Problems

Year:

2011

Language:

english

File:

PDF, 339 KB

english, 2011

7

On a class of finite difference methods for ill-posed Cauchy problems with noisy data

Bakushinsky, Anatoly B., Kokurin, Mikhail Yu., Kokurin, Mikhail M.

Journal:

Journal of Inverse and Ill-Posed Problems

Year:

2011

Language:

english

File:

PDF, 609 KB

english, 2011

8

Discrepancy principle for generalized GN iterations combined with the reverse connection control

Bakushinsky, Anatoly, Smirnova, Alexandra

Journal:

Journal of Inverse and Ill-Posed Problems

Year:

2010

Language:

english

File:

PDF, 330 KB

english, 2010

9

Irregular operator equations by iterative methods with undetermined reverse connection

Bakushinsky, Anatoly, Smirnova, Alexandra

Journal:

Journal of Inverse and Ill-Posed Problems

Year:

2010

Language:

english

File:

PDF, 304 KB

english, 2010

10

Inverse problem in optical tomography and its numerical investigation by iteratively regularized methods

Bakushinsky, A. B., Khan, T., Smirnova, A.

Journal:

Journal of Inverse and Ill-Posed Problems

Year:

2005

Language:

english

File:

PDF, 345 KB

english, 2005

11

On the construction of stable iterative methods for solving ill-posed nonlinear equations with nondifferentiable operators

Bakushinsky, A.B., Kokurin, M. Yu.

Journal:

Journal of Inverse and Ill-Posed Problems

Year:

2003

Language:

english

File:

PDF, 237 KB

english, 2003

12

ON APPLICATION OF GENERALIZED DISCREPANCY PRINCIPLE TO ITERATIVE METHODS FOR NONLINEAR ILL-POSED PROBLEMS

Bakushinsky, Anatoly, Smirnova, Alexandra

Journal:

Numerical Functional Analysis and Optimization

Year:

2005

Language:

english

File:

PDF, 159 KB

english, 2005

13

On stable iterative methods of gradient type for the inverse medium scattering problem

Bakushinsky, A. B., Kokurin, M. YU., Kozlov, A. I.

Journal:

Inverse Problems in Science and Engineering

Year:

2005

Language:

english

File:

PDF, 286 KB

english, 2005

14

On application of asymptotic generalized discrepancy principle to the analysis of epidemiology models

Smirnova, A., Bakushinsky, A., DeCamp, L.

Journal:

Applicable Analysis

Year:

2015

Language:

english

File:

PDF, 680 KB

english, 2015

15

On error estimates of difference solution methods for ill-posed Cauchy problems in a Hilbert space

Bakushinsky, A. B., Kokurin, M. Yu., Paymerov, S. K.

Journal:

Journal of Inverse and Ill-Posed Problems

Year:

2008

Language:

english

File:

PDF, 142 KB

english, 2008

16

Relative computational efficiency of iteratively regularized methods

Bakushinsky, A. B., Smirnova, A., Tuncer, N.

Journal:

Journal of Inverse and Ill-Posed Problems

Year:

2008

Language:

english

File:

PDF, 714 KB

english, 2008

17

Inverse problem in optical tomography and its numerical investigation by iteratively regularized methods

Bakushinsky, A. B., Khan, T., Smirnova, A.

Journal:

Journal of Inverse and Ill-Posed Problems

Year:

2005

Language:

english

File:

PDF, 369 KB

english, 2005

18

A posteriori error analysis for unstable models

Bakushinsky, Anatoly B., Smirnova, Alexandra, Liu, Hui

Journal:

Journal of Inverse and Ill-Posed Problems

Year:

2012

Language:

english

File:

PDF, 1.16 MB

english, 2012

19

Iterative Regularization and Generalized Discrepancy Principle for Monotone Operator Equations

Bakushinsky, Anatoly, Smirnova, Alexandra

Journal:

Numerical Functional Analysis and Optimization

Year:

2007

Language:

english

File:

PDF, 115 KB

english, 2007

20

On the construction of stable iterative methods for solving ill-posed nonlinear equations with nondifferentiable operators

Bakushinsky, A. B., Kokurin, M. Yu.

Journal:

Journal of Inverse and Ill-Posed Problems

Year:

2003

Language:

english

File:

PDF, 296 KB

english, 2003

21

A nonstandard approximation of pseudoinverse and a new stopping criterion for iterative regularization

Bakushinsky, Anatoly, Smirnova, Alexandra, Liu, Hui

Journal:

Journal of Inverse and Ill-Posed Problems

Year:

2015

Language:

english

File:

PDF, 1.41 MB

english, 2015

22

Iterative methods for solving nonlinear irregular operator equations in banach space

Bakushinsky, A. B., Kokurin, M. Yu.

Journal:

Numerical Functional Analysis and Optimization

Year:

2000

Language:

english

File:

PDF, 1.53 MB

english, 2000

23

Some applications of the iterative regularization principle to mathematical programming problems

Bakushinsky, A. B., Matijasevich, T. A.

Journal:

Numerical Functional Analysis and Optimization

Year:

1989

Language:

english

File:

PDF, 505 KB

english, 1989

24

On convergence rates for asymptotic discrepancy principle

Bakushinsky, Anatoly, Smirnova, Alexandra

Journal:

Journal of Inverse and Ill-Posed Problems

Year:

2016

Language:

english

File:

PDF, 598 KB

english, 2016

25

Fast numerical method of solving 3D coefficient inverse problem for wave equation with integral data

Bakushinsky, Anatoly B., Leonov, Alexander S.

Journal:

Journal of Inverse and Ill-Posed Problems

Year:

2017

Language:

english

File:

PDF, 1.33 MB

english, 2017

26

Regularization Algorithms for Ill-Posed Problems || 3 Regularization of Ill-Posed Cauchy Problems by Finite Difference Methods

Bakushinsky, Anatoly B., Kokurin, Mikhail M., Kokurin, Mikhail Yu.

Year:

2018

Language:

english

File:

PDF, 374 KB

english, 2018

27

Regularization Algorithms for Ill-Posed Problems || Preface

Bakushinsky, Anatoly B., Kokurin, Mikhail M., Kokurin, Mikhail Yu.

Year:

2018

Language:

english

File:

PDF, 100 KB

english, 2018

28

Regularization Algorithms for Ill-Posed Problems || Index

Bakushinsky, Anatoly B., Kokurin, Mikhail M., Kokurin, Mikhail Yu.

Year:

2018

Language:

english

File:

PDF, 71 KB

english, 2018

29

Regularization Algorithms for Ill-Posed Problems || 2 Regularization Methods For Linear Equations

Bakushinsky, Anatoly B., Kokurin, Mikhail M., Kokurin, Mikhail Yu.

Year:

2018

Language:

english

File:

PDF, 672 KB

english, 2018

30

Regularization Algorithms for Ill-Posed Problems || Bibliography

Bakushinsky, Anatoly B., Kokurin, Mikhail M., Kokurin, Mikhail Yu.

Year:

2018

Language:

english

File:

PDF, 81 KB

english, 2018

31

Regularization Algorithms for Ill-Posed Problems || 6 Regularization of Nonlinear Variational Inequalities and Optimization Problems

Bakushinsky, Anatoly B., Kokurin, Mikhail M., Kokurin, Mikhail Yu.

Year:

2018

Language:

english

File:

PDF, 376 KB

english, 2018

32

Regularization Algorithms for Ill-Posed Problems || 1 Introduction

Bakushinsky, Anatoly B., Kokurin, Mikhail M., Kokurin, Mikhail Yu.

Year:

2018

Language:

english

File:

PDF, 204 KB

english, 2018

33

Regularization Algorithms for Ill-Posed Problems || 5 Finite-Dimensional Iterative Processes for Irregular Nonlinear Equations

Bakushinsky, Anatoly B., Kokurin, Mikhail M., Kokurin, Mikhail Yu.

Year:

2018

Language:

english

File:

PDF, 348 KB

english, 2018

34

A study of frozen iteratively regularized GaussâNewton algorithm for nonlinear ill-posed problems under generalized normal solvability condition

Bakushinsky, Anatoly, Smirnova, Alexandra

Journal:

Journal of Inverse and Ill-Posed Problems

Year:

2020

File:

PDF, 1.90 MB

2020

35

The Minor Forms of Sculpture (1933)

Bakushinsky, Anatolii

Journal:

Year:

2001

File:

PDF, 1.30 MB

2001