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Kokurin, Mikhail Yur’evich

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Author ID: kokurin.mihail-yu Recent zbMATH articles by "Kokurin, Mikhail Yur’evich"
Published as: Kokurin, M. Yu.; Kokurin, Mikhail Y.; Kokurin, Mikhail Yu.; Kokurin, Mihail Yu.; Kokurin, Mikhali Y.; Kokurin, Mihail Y.; Kokurin, M. Yu; Kokurin, M.
External Links: Math-Net.Ru
Documents Indexed: 105 Publications since 1983, including 3 Books
Reviewing Activity: 511 Reviews

Publications by Year

Citations contained in zbMATH Open

52 Publications have been cited 224 times in 152 Documents Cited by Year
Iterative methods for approximate solution of inverse problems. Zbl 1070.65038
Bakushinsky, A. B.; Kokurin, M. Yu.
61
2004
Adaptivity with relaxation for ill-posed problems and global convergence for a coefficient inverse problem. Zbl 1286.65147
Beilina, L.; Klibanov, M. V.; Kokurin, M. Yu.
17
2010
Iterative methods for ill-posed problems. An introduction. Zbl 1215.47013
Bakushinsky, Anatoly B.; Kokurin, Mihail Yu.; Smirnova, Alexandra
13
2011
On a class of finite-difference schemes for solving ill-posed Cauchy problems in Banach spaces. Zbl 1247.47054
Bakushinskii, A. B.; Kokurin, M. M.; Kokurin, M. Yu.
10
2012
Convexity of the Tikhonov functional and iteratively regularized methods for solving irregular nonlinear operator equations. Zbl 1217.47105
Kokurin, M. Yu.
7
2010
Conditionally well-posed and generalized well-posed problems. Zbl 1299.47022
Kokurin, M. Yu.
6
2013
Regularization algorithms for ill-posed problems. Zbl 1436.65004
Bakushinsky, Anatoly B.; Kokurin, Mikhail M.; Kokurin, Mikhail Yu.
6
2018
The global search in the Tikhonov scheme. Zbl 1227.47038
Kokurin, M. Yu.
6
2010
On error estimates of difference solution methods for ill-posed Cauchy problems in a Hilbert space. Zbl 1154.65039
Bakushinsky, A. B.; Kokurin, M. Yu.; Paymerov, S. K.
6
2008
On a complete discretization scheme for an ill-posed Cauchy problem in a Banach space. Zbl 1287.65041
Bakushinskii, A. B.; Kokurin, M. M.; Kokurin, M. Yu.
5
2013
Iterative methods of stochastic approximation for solving non-regular nonlinear operator equations. Zbl 1331.65079
Bakushinskii, A. B.; Kokurin, M. Yu.
5
2015
On some inverse problem for a three-dimensional wave equation. Zbl 1136.35463
Bakushinskii, A. B.; Kozlov, A. I.; Kokurin, M. Yu.
4
2003
On a multidimensional integral equation with data supported by low-dimensional analytic manifolds. Zbl 1276.65056
Kokurin, Mikhali Y.
4
2013
On a class of finite difference methods for ill-posed Cauchy problems with noisy data. Zbl 1279.65067
Bakushinsky, Anatoly B.; Kokurin, Mikhail Yu.; Kokurin, Mikhail M.
4
2010
On sequential minimization of Tikhonov functionals in ill-posed problems with a priori information on solutions. Zbl 1280.47064
Kokurin, Mikhail Yu.
4
2010
Sourcewise representability conditions and power estimates of convergence rate in Tikhonov’s scheme for solving ill-posed extremal problems. Zbl 1329.49043
Kokurin, M. Yu.
3
2014
Convexity properties of images under nonlinear integral operators. Zbl 1320.47056
Kokurin, M. Yu.
3
2014
On a characteristic property of conditionally well-posed problems. Zbl 1329.65122
Kokurin, Mikhail Y.
3
2015
On the construction of stable iterative methods for solving ill-posed nonlinear equations with nondifferentiable operators. Zbl 1052.47059
Bakushinsky, A. B.; Kokurin, M. Yu.
3
2003
Reduction of variational inequalities with irregular operators on a ball to regular operator equations. Zbl 1432.49009
Kokurin, M. Yu.
3
2013
Inverse coefficient problem for a wave equation in a bounded domain. Zbl 1201.35185
Kokurin, M. Yu.; Paimerov, S. K.
3
2008
On the completeness of products of harmonic functions and the uniqueness of the solution of the inverse acoustic sounding problem. Zbl 1417.31006
Kokurin, M. Yu.
3
2018
Iterative Newton-type methods with projecting for solution of nonlinear ill-posed operator equations. Zbl 1027.65075
Bakushinskij, A. B.; Kokurin, M. Yu.; Yusupova, N. A.
3
2002
Sets of uniqueness for harmonic and analytic functions and inverse problems for wave equations. Zbl 1323.35213
Kokurin, M. Yu.
2
2015
Convergence rate estimates for Tikhonov’s scheme as applied to ill-posed nonconvex optimization problems. Zbl 1379.49012
Kokurin, M. Yu.
2
2017
Necessary and sufficient conditions for power convergence rate of approximations in Tikhonov’s scheme for solving ill-posed optimization problems. Zbl 1383.65065
Kokurin, M. Yu.
2
2017
On the convexity of images of nonlinear integral operators. Zbl 06682270
Kokurin, M. Yu.
2
2016
Iteratively regularized methods for irregular nonlinear operator equations with a normally solvable derivative at the solution. Zbl 1444.47066
Kokurin, M. Yu.
2
2016
Stable gradient projection method for nonlinear conditionally well-posed inverse problems. Zbl 1338.65153
Kokurin, Mikhali Y.
2
2016
Iteratively regularized Gauss-Newton method for operator equations with normally solvable derivative at the solution. Zbl 06641806
Bakushinskii, A. B.; Kokurin, M. Yu.
2
2016
Stable iteratively regularized gradient method for nonlinear irregular equations under large noise. Zbl 1093.65053
Kokurin, Mihail Yu.
2
2006
On necessary conditions for the qualified convergence of methods for solving linear ill-posed problems. Zbl 0999.65042
Kokurin, M. Yu.; Yusupova, N. A.
2
2001
On stable iterative methods of gradient type for the inverse medium scattering problem. Zbl 1194.76259
Bakushinsky, A. B.; Kokurin, M. Yu.; Kozlov, A. I.
2
2005
On a correlation method for studying random wave fields. Zbl 1249.78021
Kokurin, M. Yu.
2
2011
Necessary and sufficient conditions of slow convergence of methods of solving linear ill-posed problems. Zbl 1024.65041
Kokurin, M. Yu.; Yusupova, N. A.
2
2002
Gradient projection method for stable approximation of quasisolutions to irregular nonlinear operator equations. Zbl 1224.65145
Kozlov, A. I.; Kokurin, M. Yu.
2
2009
Iteratively regularized Gauss-Newton methods under random noise. Zbl 1312.65090
Kokurin, Mikhail Yu.; Bakushinsky, Anatoly B.
1
2015
Accuracy estimates of Gauss-Newton-type iterative regularization methods for nonlinear equations with operators having normally solvable derivative at the solution. Zbl 1350.65052
Kokurin, Mikhail Y.
1
2016
On stable finite dimensional approximation of conditionally well-posed inverse problems. Zbl 1353.65051
Kokurin, M. Yu
1
2016
On certain minimizing the discrepancy method for operator regularization of equations of first kind. Zbl 0839.47044
Kokurin, M. Yu.
1
1993
Asymptotic behavior of periodic solutions of parabolic equations with weakly nonlinear perturbation. Zbl 0841.34063
Kokurin, M. Yu.
1
1995
On a certain class of operator equations with small parameter and regularization of ill-posed problems. Zbl 0868.47042
Kokurin, M. Yu.
1
1995
Logarithmic estimates of the convergence rate of methods for solving the inverse Cauchy problem in a Banach space. Zbl 1074.65061
Kokurin, M. Yu.; Klyuchev, V. V.
1
2004
Continuous methods of stable approximation of solutions to non-linear equations in Hilbert space based on a regularized Gauss-Newton scheme. Zbl 1083.47515
Kokurin, M. Yu.
1
2004
Necessary conditions for the convergence of iterative methods for solving irregular nonlinear operator equations. Zbl 0994.65062
Bakushinskij, A. B.; Kokurin, M. Yu.; Yusupova, N. A.
1
2000
Nondegenerate estimates for the convergence rate of iterative methods for ill-posed nonlinear operator equations. Zbl 0993.65063
Kokurin, M. Yu.; Yusupova, N. A.
1
2000
Stable finite-dimensional iterative processes for solving nonlinear ill-posed operator equations. Zbl 1077.65504
Karabanova, O. V.; Kozlov, A. I.; Kokurin, M. Yu.
1
2002
An exact penalty method for monotone variational inequalities and order optimal algorithms for finding saddle points. Zbl 1230.65073
Kokurin, M. Yu.
1
2011
Necessary and sufficient conditions for logarithmic convergence of regularizaton methods for solving inverse Cauchy problem in Banach space. Zbl 1132.35499
Kokurin, M.; Kljuchev, V.
1
2006
Almost solubility of classes of non-linear integral equations of the first kind on cones. Zbl 07124984
Kokurin, M. Yu.
1
2019
Source conditions and accuracy estimates in Tikhonov’s scheme of solving ill-posed nonconvex optimization problems. Zbl 1398.65115
Kokurin, Mikhail Y.
1
2018
Solution of ill-posed nonconvex optimization problems with accuracy proportional to the error in input data. Zbl 1412.90124
Kokurin, M. Yu.
1
2018
Almost solubility of classes of non-linear integral equations of the first kind on cones. Zbl 07124984
Kokurin, M. Yu.
1
2019
Regularization algorithms for ill-posed problems. Zbl 1436.65004
Bakushinsky, Anatoly B.; Kokurin, Mikhail M.; Kokurin, Mikhail Yu.
6
2018
On the completeness of products of harmonic functions and the uniqueness of the solution of the inverse acoustic sounding problem. Zbl 1417.31006
Kokurin, M. Yu.
3
2018
Source conditions and accuracy estimates in Tikhonov’s scheme of solving ill-posed nonconvex optimization problems. Zbl 1398.65115
Kokurin, Mikhail Y.
1
2018
Solution of ill-posed nonconvex optimization problems with accuracy proportional to the error in input data. Zbl 1412.90124
Kokurin, M. Yu.
1
2018
Convergence rate estimates for Tikhonov’s scheme as applied to ill-posed nonconvex optimization problems. Zbl 1379.49012
Kokurin, M. Yu.
2
2017
Necessary and sufficient conditions for power convergence rate of approximations in Tikhonov’s scheme for solving ill-posed optimization problems. Zbl 1383.65065
Kokurin, M. Yu.
2
2017
On the convexity of images of nonlinear integral operators. Zbl 06682270
Kokurin, M. Yu.
2
2016
Iteratively regularized methods for irregular nonlinear operator equations with a normally solvable derivative at the solution. Zbl 1444.47066
Kokurin, M. Yu.
2
2016
Stable gradient projection method for nonlinear conditionally well-posed inverse problems. Zbl 1338.65153
Kokurin, Mikhali Y.
2
2016
Iteratively regularized Gauss-Newton method for operator equations with normally solvable derivative at the solution. Zbl 06641806
Bakushinskii, A. B.; Kokurin, M. Yu.
2
2016
Accuracy estimates of Gauss-Newton-type iterative regularization methods for nonlinear equations with operators having normally solvable derivative at the solution. Zbl 1350.65052
Kokurin, Mikhail Y.
1
2016
On stable finite dimensional approximation of conditionally well-posed inverse problems. Zbl 1353.65051
Kokurin, M. Yu
1
2016
Iterative methods of stochastic approximation for solving non-regular nonlinear operator equations. Zbl 1331.65079
Bakushinskii, A. B.; Kokurin, M. Yu.
5
2015
On a characteristic property of conditionally well-posed problems. Zbl 1329.65122
Kokurin, Mikhail Y.
3
2015
Sets of uniqueness for harmonic and analytic functions and inverse problems for wave equations. Zbl 1323.35213
Kokurin, M. Yu.
2
2015
Iteratively regularized Gauss-Newton methods under random noise. Zbl 1312.65090
Kokurin, Mikhail Yu.; Bakushinsky, Anatoly B.
1
2015
Sourcewise representability conditions and power estimates of convergence rate in Tikhonov’s scheme for solving ill-posed extremal problems. Zbl 1329.49043
Kokurin, M. Yu.
3
2014
Convexity properties of images under nonlinear integral operators. Zbl 1320.47056
Kokurin, M. Yu.
3
2014
Conditionally well-posed and generalized well-posed problems. Zbl 1299.47022
Kokurin, M. Yu.
6
2013
On a complete discretization scheme for an ill-posed Cauchy problem in a Banach space. Zbl 1287.65041
Bakushinskii, A. B.; Kokurin, M. M.; Kokurin, M. Yu.
5
2013
On a multidimensional integral equation with data supported by low-dimensional analytic manifolds. Zbl 1276.65056
Kokurin, Mikhali Y.
4
2013
Reduction of variational inequalities with irregular operators on a ball to regular operator equations. Zbl 1432.49009
Kokurin, M. Yu.
3
2013
On a class of finite-difference schemes for solving ill-posed Cauchy problems in Banach spaces. Zbl 1247.47054
Bakushinskii, A. B.; Kokurin, M. M.; Kokurin, M. Yu.
10
2012
Iterative methods for ill-posed problems. An introduction. Zbl 1215.47013
Bakushinsky, Anatoly B.; Kokurin, Mihail Yu.; Smirnova, Alexandra
13
2011
On a correlation method for studying random wave fields. Zbl 1249.78021
Kokurin, M. Yu.
2
2011
An exact penalty method for monotone variational inequalities and order optimal algorithms for finding saddle points. Zbl 1230.65073
Kokurin, M. Yu.
1
2011
Adaptivity with relaxation for ill-posed problems and global convergence for a coefficient inverse problem. Zbl 1286.65147
Beilina, L.; Klibanov, M. V.; Kokurin, M. Yu.
17
2010
Convexity of the Tikhonov functional and iteratively regularized methods for solving irregular nonlinear operator equations. Zbl 1217.47105
Kokurin, M. Yu.
7
2010
The global search in the Tikhonov scheme. Zbl 1227.47038
Kokurin, M. Yu.
6
2010
On a class of finite difference methods for ill-posed Cauchy problems with noisy data. Zbl 1279.65067
Bakushinsky, Anatoly B.; Kokurin, Mikhail Yu.; Kokurin, Mikhail M.
4
2010
On sequential minimization of Tikhonov functionals in ill-posed problems with a priori information on solutions. Zbl 1280.47064
Kokurin, Mikhail Yu.
4
2010
Gradient projection method for stable approximation of quasisolutions to irregular nonlinear operator equations. Zbl 1224.65145
Kozlov, A. I.; Kokurin, M. Yu.
2
2009
On error estimates of difference solution methods for ill-posed Cauchy problems in a Hilbert space. Zbl 1154.65039
Bakushinsky, A. B.; Kokurin, M. Yu.; Paymerov, S. K.
6
2008
Inverse coefficient problem for a wave equation in a bounded domain. Zbl 1201.35185
Kokurin, M. Yu.; Paimerov, S. K.
3
2008
Stable iteratively regularized gradient method for nonlinear irregular equations under large noise. Zbl 1093.65053
Kokurin, Mihail Yu.
2
2006
Necessary and sufficient conditions for logarithmic convergence of regularizaton methods for solving inverse Cauchy problem in Banach space. Zbl 1132.35499
Kokurin, M.; Kljuchev, V.
1
2006
On stable iterative methods of gradient type for the inverse medium scattering problem. Zbl 1194.76259
Bakushinsky, A. B.; Kokurin, M. Yu.; Kozlov, A. I.
2
2005
Iterative methods for approximate solution of inverse problems. Zbl 1070.65038
Bakushinsky, A. B.; Kokurin, M. Yu.
61
2004
Logarithmic estimates of the convergence rate of methods for solving the inverse Cauchy problem in a Banach space. Zbl 1074.65061
Kokurin, M. Yu.; Klyuchev, V. V.
1
2004
Continuous methods of stable approximation of solutions to non-linear equations in Hilbert space based on a regularized Gauss-Newton scheme. Zbl 1083.47515
Kokurin, M. Yu.
1
2004
On some inverse problem for a three-dimensional wave equation. Zbl 1136.35463
Bakushinskii, A. B.; Kozlov, A. I.; Kokurin, M. Yu.
4
2003
On the construction of stable iterative methods for solving ill-posed nonlinear equations with nondifferentiable operators. Zbl 1052.47059
Bakushinsky, A. B.; Kokurin, M. Yu.
3
2003
Iterative Newton-type methods with projecting for solution of nonlinear ill-posed operator equations. Zbl 1027.65075
Bakushinskij, A. B.; Kokurin, M. Yu.; Yusupova, N. A.
3
2002
Necessary and sufficient conditions of slow convergence of methods of solving linear ill-posed problems. Zbl 1024.65041
Kokurin, M. Yu.; Yusupova, N. A.
2
2002
Stable finite-dimensional iterative processes for solving nonlinear ill-posed operator equations. Zbl 1077.65504
Karabanova, O. V.; Kozlov, A. I.; Kokurin, M. Yu.
1
2002
On necessary conditions for the qualified convergence of methods for solving linear ill-posed problems. Zbl 0999.65042
Kokurin, M. Yu.; Yusupova, N. A.
2
2001
Necessary conditions for the convergence of iterative methods for solving irregular nonlinear operator equations. Zbl 0994.65062
Bakushinskij, A. B.; Kokurin, M. Yu.; Yusupova, N. A.
1
2000
Nondegenerate estimates for the convergence rate of iterative methods for ill-posed nonlinear operator equations. Zbl 0993.65063
Kokurin, M. Yu.; Yusupova, N. A.
1
2000
Asymptotic behavior of periodic solutions of parabolic equations with weakly nonlinear perturbation. Zbl 0841.34063
Kokurin, M. Yu.
1
1995
On a certain class of operator equations with small parameter and regularization of ill-posed problems. Zbl 0868.47042
Kokurin, M. Yu.
1
1995
On certain minimizing the discrepancy method for operator regularization of equations of first kind. Zbl 0839.47044
Kokurin, M. Yu.
1
1993
all top 5

Cited by 163 Authors

31 Kokurin, Mikhail Yur’evich
15 Beilina, Larisa
15 Klibanov, Michael V.
10 Bakushinskĭ, Anatoliĭ Borisovich B.
9 Kaltenbacher, Barbara
7 Kokurin, Mikhail Mikhailovich
6 Leonov, Aleksandr Sergeevich
5 Hofmann, Bernd
5 Smirnova, Alexandra B.
4 Jin, Qinian
3 Han, Bo
3 Kindermann, Stefan
3 Leitão, Antonio
3 Mahale, Pallavi
3 Romanov, Sergey Y.
3 Scherzer, Otmar
3 Villa, Silvia
2 Decamp, Linda
2 Dixit, Sharad Kumar
2 Egger, Herbert
2 Fiddy, Michael A.
2 Garrigos, Guillaume
2 Goncharsky, Alexander V.
2 Kuzhuget, Andrey V.
2 Medvedik, M. Yu.
2 Nguyen, Lam H.
2 Previatti de Souza, Mario Luiz
2 Rosasco, Lorenzo A.
2 Schlottbom, Matthias
2 Smirnov, Yury G.
2 Solodky, Sergei G.
2 Sullivan, Anders J.
2 Thành, Nguyen Trung
2 Tsupak, Aleksey A.
2 Vasin, Vladimir Vasil’evich
2 Wang, Wei
2 Xu, Yifeng
2 Yamamoto, Masahiro
2 Yang, Hongqi
2 Zhong, Min
2 Zou, Jun
1 An, Honglei
1 Andrieux, Stéphane
1 Anzengruber, Stephan W.
1 Arendt, Wolfgang
1 Baranger, Thouraya Nouri
1 Bez, Neal
1 Bockmann, Christine
1 Boussetila, Nadjib
1 Calatroni, Luca
1 Chen, Dehan
1 Cheng, Jin
1 Chernyaev, Yuriĭ A.
1 Chowell-Puente, Gerardo
1 Cristofol, Michel
1 De Cezaro, Adriano
1 Djemoui, Sebti
1 Dobsicek Trefna, Hana
1 Dölz, Jürgen
1 Düvelmeyer, Dana
1 Ellabib, Abdellatif
1 Eriksson, Anders B.
1 Feng, Heying
1 Fornstedt, Torgny
1 Forssén, Patrik
1 Fu, Hongsun
1 Gao, Guangyu
1 George, Santhosh
1 Ghaderi Aram, Morteza
1 Gilliam, David S.
1 Giri, Ankik Kumar
1 Grushevaya, Anna V.
1 Guillot, Genevieve
1 Gulliksson, Mårten E.
1 Haltmeier, Markus
1 Hoang, Nguyen Si
1 Hohage, Thorsten
1 Hosseinzadegan, Samar
1 Hou, Zongyi
1 Hubmer, Simon
1 Huong, Tran Thi Thu
1 Jin, Bangti
1 Karabanova, O. V.
1 Karchevsky, Andrey Leonidovich
1 Klassen, Andrej
1 Kljuchev, V.
1 Klyuchev, V. V.
1 Kolesov, Aleksandr Egorovich
1 Koshev, Nikolay A.
1 Kozlov, Alexander I.
1 Lakhal, Aref
1 Lakhdari, Abdelghani
1 Larsen, Truls Martin
1 Lechleiter, Armin
1 Lee, Sanghyuk
1 Li, Dan
1 Li, Jingzhi
1 Li, Shumin
1 Liu, Hongbo
1 Liu, Hui
...and 63 more Authors
all top 5

Cited in 56 Serials

19 Journal of Inverse and Ill-Posed Problems
10 Computational Mathematics and Mathematical Physics
10 Russian Mathematics
8 Inverse Problems
7 Numerical Functional Analysis and Optimization
7 Journal of Mathematical Sciences (New York)
7 Inverse Problems in Science and Engineering
6 Numerische Mathematik
4 Applicable Analysis
4 Mathematical Notes
4 Inverse Problems and Imaging
3 Journal of Mathematical Analysis and Applications
3 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
3 Mathematics of Computation
3 Applied Numerical Mathematics
3 Doklady Mathematics
2 Journal of Computational and Applied Mathematics
2 SIAM Journal on Applied Mathematics
2 SIAM Journal on Optimization
2 Computational Optimization and Applications
2 Mathematical Problems in Engineering
2 Journal of Applied Mathematics and Computing
2 SIAM Journal on Imaging Sciences
1 Computers & Mathematics with Applications
1 Computer Methods in Applied Mechanics and Engineering
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Rocky Mountain Journal of Mathematics
1 Wave Motion
1 Applied Mathematics and Computation
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of the Korean Mathematical Society
1 Journal of Optimization Theory and Applications
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 SIAM Journal on Numerical Analysis
1 Siberian Mathematical Journal
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Complexity
1 Journal of Integral Equations and Applications
1 Applications of Mathematics
1 Automation and Remote Control
1 Journal of Mathematical Imaging and Vision
1 Selecta Mathematica. New Series
1 Izvestiya: Mathematics
1 Discrete and Continuous Dynamical Systems
1 Differential Equations
1 Mathematical Modelling and Analysis
1 Milan Journal of Mathematics
1 Central European Journal of Mathematics
1 International Journal of Computational Methods
1 Boundary Value Problems
1 Complex Variables and Elliptic Equations
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Mathematics in Industry
1 Mathematics
1 Concrete Operators
1 Ural Mathematical Journal

Citations by Year