Edit Profile (opens in new tab) Yagola, Anatoliĭ Grigor’evich Compute Distance To: Compute Author ID: yagola.anatolii-grigorevich Published as: Yagola, A. G.; Yagola, Anatoly G.; Yagola, Anatoly; Yagola, A. more...less Documents Indexed: 110 Publications since 1969, including 7 Books 6 Contributions as Editor Biographic References: 2 Publications Co-Authors: 82 Co-Authors with 105 Joint Publications 2,523 Co-Co-Authors all top 5 Co-Authors 8 single-authored 34 Leonov, Aleksandr Sergeevich 19 Kochikov, Igor V. 14 Luk’yanenko, Dmitriĭ Vital’evich 12 Titarenko, Valery N. 8 Tikhonov, Andreĭ Nikolaevich 8 Tikhonravov, Alexander V. 8 Wang, Yanfei 6 Kabanikhin, Sergeĭ Igorevich 6 Kuramshina, Gulnara M. 6 Matvienko, A. N. 5 Korolev, Yury M. 5 Nikolaeva, Natalia N. 5 Romanov, Vladimir Gavrilovich 5 Sharov, Alexander N. 4 Hasanoǧlu, Alemdar 4 Vasin, Vladimir Vasil’evich 3 Dorofeev, K. Yu. 3 Hofmann, Bernd 3 Shishlenin, Maxim Aleksandrovich 3 Zhang, Ye 2 Anikonov, Yuriĭ Evgenievich 2 Cherepashchuk, A. M. 2 Dorofeev, Konstantin 2 Evdokimova, N. A. 2 Gushchina, L. G. 2 Isaev, T. F. 2 Klibanov, Michael V. 2 Lagutin, Yu. S. 2 Lagutina, A. A. 2 Lesnic, Daniel 2 Pentin, Yu. A. 2 Prilepko, Alekseĭ Ivanovich 2 Sharapova, Svetlana A. 2 Stepanov, Vjacelav Vasil’evic 2 Vasin, Igor A. 2 Vatutin, Vladimir Alekseevich 2 Yang, Changchun 1 Ageev, Aleksandr Leonidovich 1 Andreev, Vladimir B. 1 Artamonov, Boris 1 Bakushinskĭ, Anatoliĭ Borisovich B. 1 Banks, Harvey Thomas 1 Berdyshev, Vitaliĭ Ivanovich 1 Borzunov, Andrey A. 1 Debbouche, Amar 1 Denisov, Alexander Mikhailovich 1 Đinh Nho Hào 1 Dulikravich, George Stevo 1 Goncharskij, A. V. 1 Goncharsky, Alexander V. 1 Grasselli, Maurizio 1 Hasanov (Hasanoglu), A. L. 1 Kolotov, I. I. 1 Koptelova, Ekaterina 1 Koshev, Nikolaj A. 1 Kubo, Hideo 1 Kuchuk, Fikri J. 1 Kuramshima, G. M. 1 Lavrent’ev, Mikhail Mikhaĭlovich 1 Li, Jingzhi 1 Liu, Jiaqi 1 Meng, Gang 1 Nashed, M. Zuhair 1 Nashed, Zuhair 1 Nefedov, Nikolaĭ Nikolaevich 1 Neubauer, Andreas 1 Nieto Roig, Juan Jose 1 Pickalov, Valery V. 1 Rau, Eduard I. 1 Ruchkin, S. V. 1 Rychagov, M. N. 1 Rychagov, N. M. 1 Sacks, Paul E. 1 Shimanovskaya, Elena 1 Slodička, Marián 1 Tanana, Vitaly Pavlovich 1 Titarenko, Sofya 1 Triggiani, Roberto 1 Withers, Philip J. 1 Xue, Feng 1 Yamamoto, Masahiro 1 Zirilli, Francesco all top 5 Serials 23 Journal of Inverse and Ill-Posed Problems 14 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 13 U.S.S.R. Computational Mathematics and Mathematical Physics 9 Inverse Problems in Science and Engineering 8 Computational Mathematics and Mathematical Physics 7 Soviet Mathematics. Doklady 3 Inverse Problems 2 Moscow University Physics Bulletin 2 Inverse and Ill-Posed Problems Series 1 Journal of Computational and Applied Mathematics 1 Numerical Functional Analysis and Optimization 1 Applied Mathematics Letters 1 Surveys on Mathematics for Industry 1 Fundamental’naya i Prikladnaya Matematika 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 Applied Mathematics and Mathematical Computation 1 Mathematics and its Applications (Dordrecht) 1 Inverse Problems and Imaging 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie all top 5 Fields 81 Numerical analysis (65-XX) 44 Operator theory (47-XX) 27 Partial differential equations (35-XX) 18 Integral equations (45-XX) 11 Optics, electromagnetic theory (78-XX) 7 Quantum theory (81-XX) 6 General and overarching topics; collections (00-XX) 6 History and biography (01-XX) 4 Mechanics of deformable solids (74-XX) 4 Fluid mechanics (76-XX) 4 Astronomy and astrophysics (85-XX) 3 Integral transforms, operational calculus (44-XX) 3 Geophysics (86-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 56 Publications have been cited 427 times in 338 Documents Cited by ▼ Year ▼ Numerical methods for the solution of ill-posed problems. Rev., updated and transl. from the Russ. by R. A. M. Hoksbergen. Zbl 0831.65059Tikhonov, A. N.; Goncharsky, A. V.; Stepanov, V. V.; Yagola, A. G. 142 1995 Nonlinear ill-posed problems. Zbl 0843.65041Tikhonov, A. N.; Leonov, A. S.; Yagola, A. G. 57 1996 Nonlinear ill-posed problems. Transl. from the Russian. Vol. 1 and 2. Zbl 0920.65038Tikhonov, A. N.; Leonov, A. S.; Yagola, A. G. 55 1998 Numerical methods for the solution of ill-posed problems. (Chislennye metody resheniya nekorrektnykh zadach.) Zbl 0712.65042Tikhonov, A. N.; Goncharskij, A. V.; Stepanov, V. V.; Yagola, A. G. 17 1990 A generalized discrepancy principle. Zbl 0276.65046Goncharskij, A. V.; Leonov, A. S.; Yagola, A. G. 11 1974 Numerical solution of an ill-posed Cauchy problem for a quasilinear parabolic equation using a Carleman weight function. Zbl 1351.35263Klibanov, Michael V.; Koshev, Nikolaj A.; Li, Jingzhi; Yagola, Anatoly G. 11 2016 Convergent numerical methods for parabolic equations with reversed time via a new Carleman estimate. Zbl 1427.65226Klibanov, Michael V.; Yagola, Anatoly G. 10 2019 Nonlinear incorrect problems. (Nelinejnye nekorrektnye zadachi.) Zbl 0856.65066Tikhonov, A. N.; Leonov, A. S.; Yagola, A. G. 7 1995 Regularizing algorithms and a priori information. (Regulyariziruyushchie algoritmy i apriornaya informatsiya). Zbl 0529.65027Tikhonov, A. N.; Goncharskij, A. V.; Stepanov, V. V.; Yagola, A. G. 7 1983 Error estimation for ill-posed problems on piecewise convex functions and sourcewise represented sets. Zbl 1167.65026Titarenko, V.; Yagola, A. 6 2008 The problems of linear and quadratic programming for ill-posed problems on some compact sets. Zbl 1039.47011Titarenko, V. N.; Yagola, A. G. 6 2003 Error estimation for a solution to the Abel equation on sets of monotone and convex functions. Zbl 1053.65100Nikolaeva, N. N.; Titarenko, V. N.; Yagola, A. G. 5 2003 A posteriori error estimates for numerical solutions to inverse problems of elastography. Zbl 1359.74421Leonov, A. S.; Sharov, A. N.; Yagola, A. G. 5 2017 Algorithms for constructing a posteriori errors of solutions to ill-posed problems. Zbl 1070.65563Dorofeev, K. Yu.; Titarenko, V. N.; Yagola, A. G. 4 2002 Recovering aerosol particle size distribution function on the set of bounded piecewise-convex functions. Zbl 1267.76111Wang, Y. F.; Zhang, Y.; Lukyanenko, D. V.; Yagola, A. G. 4 2013 The international conference ‘Mathematical and computational modelling in science and technology’. Zbl 1355.00030 4 2017 Optimization and regularization for computational inverse problems and applications. Invited papers based on the presentations at the first international workshop, Beijing, China, July 21–25, 2008. Zbl 1209.65003 4 2010 Parameter identification problem for a parabolic equation - application to the Black-Scholes option pricing model. Zbl 1279.65113Korolev, Yury M.; Kubo, Hideo; Yagola, Anatoly G. 4 2012 Solution of the inverse elastography problem for parametric classes of inclusions with a posteriori error estimate. Zbl 1397.65237Leonov, Alexander S.; Sharov, Alexander N.; Yagola, Anatoly G. 3 2018 Mathematical investigation of the error self-compensation mechanism in optical coating technology. Zbl 1409.74017Tikhonravov, Alexander; Kochikov, Igor; Yagola, Anatoly 3 2018 Sourcewise representation and a posteriori error estimates for ill-posed problems. Zbl 0958.65064Yagola, Anatoly; Dorofeev, Konstantin 3 2000 A generalized discrepancy principle for solving incompatible equations. Zbl 0601.65038Kochikov, I. V.; Matvienko, A. N.; Yagola, A. G. 3 1984 Computational methods for applied inverse problems. Selected papers based on the presentations at the international workshop, Beijing, China, July 12–16, 2010. Zbl 1255.65010 3 2012 Special regularizing methods for ill-posed problems with sourcewise represented solutions. Zbl 0916.65056Leonov, A. S.; Yagola, A. G. 3 1998 An optimal regularization method for convolution equations on the sourcewise represented set. Zbl 1325.45005Zhang, Ye; Lukyanenko, Dmitry V.; Yagola, Anatoly G. 3 2015 Application of inversion methods in solving ill-posed problems for magnetic parameter identification of steel hull vessel. Zbl 1279.45002Lukyanenko, D. V.; Yagola, A. G.; Evdokimova, N. A. 3 2010 On inverse problems in partially ordered spaces with a priori information. Zbl 1280.47014Korolev, Yury M.; Yagola, Anatoly G. 3 2012 Making use of a partial order in solving inverse problems. Zbl 1285.65031Korolev, Yury; Yagola, Anatoly 3 2013 On the choice of regularization parameter when solving ill-posed problems in reflexive spaces. Zbl 0485.65040Yagola, A. G. 3 1980 A regularizing algorithm for incorrectly formulated problems with an approximately specified operator. Zbl 0268.47019Goncharskij, A. V.; Leonov, A. S.; Yagola, A. G. 2 1973 Stable numerical methods for solving certain inverse problems of vibrational spectroscopy. Zbl 0663.65131Kochikov, I. V.; Kuramshina, G. M.; Yagola, A. G. 2 1987 The method of extending compacts and a posteriori error estimates for nonlinear ill-posed problems. Zbl 1074.65065Dorofeev, K. Yu.; Yagola, A. G. 2 2004 A posteriori error estimation for ill-posed problems on some sourcewise represented or compact sets. Zbl 1059.35178Yagola, A. G.; Titarenko, V. N. 2 2002 Generalized discrepancy principle for solving incompatible equations. Zbl 0565.65032Kochikov, I. V.; Matvienko, A. N.; Yagola, A. G. 2 1984 Recursive SURE for iterative reweighted least square algorithms. Zbl 1357.49136Xue, Feng; Yagola, Anatoly G.; Liu, Jiaqi; Meng, Gang 2 2016 Linear ill-posed problems on sets of convex functions on two-dimensional sets. Zbl 1122.65050Titarenko, V.; Yagola, A. 2 2006 New approaches to error estimation to ill-posed problems with applications to inverse problems of heat conductivity. Zbl 1006.65103Dorofeev, K. Y.; Nikolaeva, N. N.; Titarenko, V. N.; Yagola, A. G. 2 2002 Correlation of errors in inverse problems of optical coatings monitoring. Zbl 1484.78007Kochikov, Igor V.; Sharapova, Svetlana A.; Yagola, Anatoly G.; Tikhonravov, Alexander V. 1 2020 Inverse problems in vibrational spectroscopy. Zbl 0785.65121Kochikov, I. V.; Kuramshina, G. M.; Pentin, Yu. A.; Yagola, A. G. 1 1992 On the choice of regularization parameter from the generalized residual principle. Zbl 0426.47010Yagola, A. G. 1 1979 A generalized residual principle in reflexive spaces. Zbl 0445.65048Yagola, A. G. 1 1979 Über einen regularisierenden Algorithmus für inkorrekt gestellte Probleme mit genähert vorgegebenem Operator. Zbl 0251.47018Goncharskij, A. V.; Leonov, A. S.; Yagola, A. G. 1 1972 Some estimates of the rate of convergence of regularized approximations for equations of the convolution type. Zbl 0257.45014Goncharskij, A. V.; Leonov, A. S.; Yagola, A. G. 1 1973 Finite-difference approximation of linear incorrectly posed problems. Zbl 0303.65084Goncharskij, A. V.; Leonov, A. S.; Yagola, A. G. 1 1975 An error estimation for a solution of Abel equation. Zbl 1073.47017Nikolaeva, Natalia N.; Titarenko, Valery N.; Yagola, Anatoly G. 1 2004 Ill-posed problems and methods for their numerical solution. Zbl 1218.65050Yagola, Anatoly G. 1 2010 Inverse problems of vibrational spectroscopy as nonlinear ill-posed problems. Zbl 0970.65065Kochikov, Igor V.; Kuramshina, Gulnara M.; Yagola, Anatoly G. 1 1998 Using Lagrange principle for solving two-dimensional integral equation with a positive kernel. Zbl 1342.35442Zhang, Y.; Lukyanenko, D. V.; Yagola, A. G. 1 2016 Using a priori information about a solution of an ill-posed problem for constructing regularizing algorithms and their applications. Zbl 1113.80017Yagola, Anatoly; Titarenko, Valery 1 2007 Algorithms for solving inverse problems in the optics of layered media based on comparing the extrema of spectral characteristics. Zbl 1373.78104Isaev, T. F.; Lukyanenko, D. V.; Tikhonravov, A. V.; Yagola, A. G. 1 2017 Optimal recovery in problems of solving linear integral equations with a priori information. Zbl 1128.65015Bayev, A. V.; Yagola, A. G. 1 2007 On the solution of nonlinear ill-posed problems by means of the generalized residual method. Zbl 0485.65041Yagola, A. G. 1 1980 Error estimation in ill-posed problems in special cases. Zbl 1278.65084Yagola, Anatoly G.; Korolev, Yury M. 1 2013 Solution of the three-dimensional inverse elastography problem for parametric classes of inclusions. Zbl 1475.35141Leonov, Alexander S.; Sharov, Alexander N.; Yagola, Anatoly G. 1 2021 Magnetic parameters inversion method with full tensor gradient data. Zbl 1418.86008Wang, Yanfei; Lukyanenko, Dmitry; Yagola, Anatoly 1 2019 Stable method for optical monitoring the deposition of multilayer optical coatings. Zbl 1455.78013Kochikov, I. V.; Lagutin, Yu. S.; Lagutina, A. A.; Lukyanenko, D. V.; Tikhonravov, A. V.; Yagola, A. G. 1 2020 Solution of the three-dimensional inverse elastography problem for parametric classes of inclusions. Zbl 1475.35141Leonov, Alexander S.; Sharov, Alexander N.; Yagola, Anatoly G. 1 2021 Correlation of errors in inverse problems of optical coatings monitoring. Zbl 1484.78007Kochikov, Igor V.; Sharapova, Svetlana A.; Yagola, Anatoly G.; Tikhonravov, Alexander V. 1 2020 Stable method for optical monitoring the deposition of multilayer optical coatings. Zbl 1455.78013Kochikov, I. V.; Lagutin, Yu. S.; Lagutina, A. A.; Lukyanenko, D. V.; Tikhonravov, A. V.; Yagola, A. G. 1 2020 Convergent numerical methods for parabolic equations with reversed time via a new Carleman estimate. Zbl 1427.65226Klibanov, Michael V.; Yagola, Anatoly G. 10 2019 Magnetic parameters inversion method with full tensor gradient data. Zbl 1418.86008Wang, Yanfei; Lukyanenko, Dmitry; Yagola, Anatoly 1 2019 Solution of the inverse elastography problem for parametric classes of inclusions with a posteriori error estimate. Zbl 1397.65237Leonov, Alexander S.; Sharov, Alexander N.; Yagola, Anatoly G. 3 2018 Mathematical investigation of the error self-compensation mechanism in optical coating technology. Zbl 1409.74017Tikhonravov, Alexander; Kochikov, Igor; Yagola, Anatoly 3 2018 A posteriori error estimates for numerical solutions to inverse problems of elastography. Zbl 1359.74421Leonov, A. S.; Sharov, A. N.; Yagola, A. G. 5 2017 The international conference ‘Mathematical and computational modelling in science and technology’. Zbl 1355.00030 4 2017 Algorithms for solving inverse problems in the optics of layered media based on comparing the extrema of spectral characteristics. Zbl 1373.78104Isaev, T. F.; Lukyanenko, D. V.; Tikhonravov, A. V.; Yagola, A. G. 1 2017 Numerical solution of an ill-posed Cauchy problem for a quasilinear parabolic equation using a Carleman weight function. Zbl 1351.35263Klibanov, Michael V.; Koshev, Nikolaj A.; Li, Jingzhi; Yagola, Anatoly G. 11 2016 Recursive SURE for iterative reweighted least square algorithms. Zbl 1357.49136Xue, Feng; Yagola, Anatoly G.; Liu, Jiaqi; Meng, Gang 2 2016 Using Lagrange principle for solving two-dimensional integral equation with a positive kernel. Zbl 1342.35442Zhang, Y.; Lukyanenko, D. V.; Yagola, A. G. 1 2016 An optimal regularization method for convolution equations on the sourcewise represented set. Zbl 1325.45005Zhang, Ye; Lukyanenko, Dmitry V.; Yagola, Anatoly G. 3 2015 Recovering aerosol particle size distribution function on the set of bounded piecewise-convex functions. Zbl 1267.76111Wang, Y. F.; Zhang, Y.; Lukyanenko, D. V.; Yagola, A. G. 4 2013 Making use of a partial order in solving inverse problems. Zbl 1285.65031Korolev, Yury; Yagola, Anatoly 3 2013 Error estimation in ill-posed problems in special cases. Zbl 1278.65084Yagola, Anatoly G.; Korolev, Yury M. 1 2013 Parameter identification problem for a parabolic equation - application to the Black-Scholes option pricing model. Zbl 1279.65113Korolev, Yury M.; Kubo, Hideo; Yagola, Anatoly G. 4 2012 Computational methods for applied inverse problems. Selected papers based on the presentations at the international workshop, Beijing, China, July 12–16, 2010. Zbl 1255.65010 3 2012 On inverse problems in partially ordered spaces with a priori information. Zbl 1280.47014Korolev, Yury M.; Yagola, Anatoly G. 3 2012 Optimization and regularization for computational inverse problems and applications. Invited papers based on the presentations at the first international workshop, Beijing, China, July 21–25, 2008. Zbl 1209.65003 4 2010 Application of inversion methods in solving ill-posed problems for magnetic parameter identification of steel hull vessel. Zbl 1279.45002Lukyanenko, D. V.; Yagola, A. G.; Evdokimova, N. A. 3 2010 Ill-posed problems and methods for their numerical solution. Zbl 1218.65050Yagola, Anatoly G. 1 2010 Error estimation for ill-posed problems on piecewise convex functions and sourcewise represented sets. Zbl 1167.65026Titarenko, V.; Yagola, A. 6 2008 Using a priori information about a solution of an ill-posed problem for constructing regularizing algorithms and their applications. Zbl 1113.80017Yagola, Anatoly; Titarenko, Valery 1 2007 Optimal recovery in problems of solving linear integral equations with a priori information. Zbl 1128.65015Bayev, A. V.; Yagola, A. G. 1 2007 Linear ill-posed problems on sets of convex functions on two-dimensional sets. Zbl 1122.65050Titarenko, V.; Yagola, A. 2 2006 The method of extending compacts and a posteriori error estimates for nonlinear ill-posed problems. Zbl 1074.65065Dorofeev, K. Yu.; Yagola, A. G. 2 2004 An error estimation for a solution of Abel equation. Zbl 1073.47017Nikolaeva, Natalia N.; Titarenko, Valery N.; Yagola, Anatoly G. 1 2004 The problems of linear and quadratic programming for ill-posed problems on some compact sets. Zbl 1039.47011Titarenko, V. N.; Yagola, A. G. 6 2003 Error estimation for a solution to the Abel equation on sets of monotone and convex functions. Zbl 1053.65100Nikolaeva, N. N.; Titarenko, V. N.; Yagola, A. G. 5 2003 Algorithms for constructing a posteriori errors of solutions to ill-posed problems. Zbl 1070.65563Dorofeev, K. Yu.; Titarenko, V. N.; Yagola, A. G. 4 2002 A posteriori error estimation for ill-posed problems on some sourcewise represented or compact sets. Zbl 1059.35178Yagola, A. G.; Titarenko, V. N. 2 2002 New approaches to error estimation to ill-posed problems with applications to inverse problems of heat conductivity. Zbl 1006.65103Dorofeev, K. Y.; Nikolaeva, N. N.; Titarenko, V. N.; Yagola, A. G. 2 2002 Sourcewise representation and a posteriori error estimates for ill-posed problems. Zbl 0958.65064Yagola, Anatoly; Dorofeev, Konstantin 3 2000 Nonlinear ill-posed problems. Transl. from the Russian. Vol. 1 and 2. Zbl 0920.65038Tikhonov, A. N.; Leonov, A. S.; Yagola, A. G. 55 1998 Special regularizing methods for ill-posed problems with sourcewise represented solutions. Zbl 0916.65056Leonov, A. S.; Yagola, A. G. 3 1998 Inverse problems of vibrational spectroscopy as nonlinear ill-posed problems. Zbl 0970.65065Kochikov, Igor V.; Kuramshina, Gulnara M.; Yagola, Anatoly G. 1 1998 Nonlinear ill-posed problems. Zbl 0843.65041Tikhonov, A. N.; Leonov, A. S.; Yagola, A. G. 57 1996 Numerical methods for the solution of ill-posed problems. Rev., updated and transl. from the Russ. by R. A. M. Hoksbergen. Zbl 0831.65059Tikhonov, A. N.; Goncharsky, A. V.; Stepanov, V. V.; Yagola, A. G. 142 1995 Nonlinear incorrect problems. (Nelinejnye nekorrektnye zadachi.) Zbl 0856.65066Tikhonov, A. N.; Leonov, A. S.; Yagola, A. G. 7 1995 Inverse problems in vibrational spectroscopy. Zbl 0785.65121Kochikov, I. V.; Kuramshina, G. M.; Pentin, Yu. A.; Yagola, A. G. 1 1992 Numerical methods for the solution of ill-posed problems. (Chislennye metody resheniya nekorrektnykh zadach.) Zbl 0712.65042Tikhonov, A. N.; Goncharskij, A. V.; Stepanov, V. V.; Yagola, A. G. 17 1990 Stable numerical methods for solving certain inverse problems of vibrational spectroscopy. Zbl 0663.65131Kochikov, I. V.; Kuramshina, G. M.; Yagola, A. G. 2 1987 A generalized discrepancy principle for solving incompatible equations. Zbl 0601.65038Kochikov, I. V.; Matvienko, A. N.; Yagola, A. G. 3 1984 Generalized discrepancy principle for solving incompatible equations. Zbl 0565.65032Kochikov, I. V.; Matvienko, A. N.; Yagola, A. G. 2 1984 Regularizing algorithms and a priori information. (Regulyariziruyushchie algoritmy i apriornaya informatsiya). Zbl 0529.65027Tikhonov, A. N.; Goncharskij, A. V.; Stepanov, V. V.; Yagola, A. G. 7 1983 On the choice of regularization parameter when solving ill-posed problems in reflexive spaces. Zbl 0485.65040Yagola, A. G. 3 1980 On the solution of nonlinear ill-posed problems by means of the generalized residual method. Zbl 0485.65041Yagola, A. G. 1 1980 On the choice of regularization parameter from the generalized residual principle. Zbl 0426.47010Yagola, A. G. 1 1979 A generalized residual principle in reflexive spaces. Zbl 0445.65048Yagola, A. G. 1 1979 Finite-difference approximation of linear incorrectly posed problems. Zbl 0303.65084Goncharskij, A. V.; Leonov, A. S.; Yagola, A. G. 1 1975 A generalized discrepancy principle. Zbl 0276.65046Goncharskij, A. V.; Leonov, A. S.; Yagola, A. G. 11 1974 A regularizing algorithm for incorrectly formulated problems with an approximately specified operator. Zbl 0268.47019Goncharskij, A. V.; Leonov, A. S.; Yagola, A. G. 2 1973 Some estimates of the rate of convergence of regularized approximations for equations of the convolution type. Zbl 0257.45014Goncharskij, A. V.; Leonov, A. S.; Yagola, A. G. 1 1973 Über einen regularisierenden Algorithmus für inkorrekt gestellte Probleme mit genähert vorgegebenem Operator. Zbl 0251.47018Goncharskij, A. V.; Leonov, A. S.; Yagola, A. G. 1 1972 all cited Publications top 5 cited Publications all top 5 Cited by 491 Authors 25 Leonov, Aleksandr Sergeevich 23 Klibanov, Michael V. 23 Yagola, Anatoliĭ Grigor’evich 11 Luk’yanenko, Dmitriĭ Vital’evich 10 Bakushinskĭ, Anatoliĭ Borisovich B. 9 Beilina, Larisa 9 Hofmann, Bernd 9 Kokurin, Mikhail Yur’evich 9 Lesnic, Daniel 9 Nguyen, Loc Hoang 9 Zhang, Ye 8 Wang, Yanfei 7 Marin, Liviu 6 Vasil’ev, Fedor Pavlovich 5 Artem’eva, Lyudmila Anatol’evna 5 Gulliksson, Mårten E. 5 Kochikov, Igor V. 5 Nguyen, Lam H. 5 Sharov, Alexander N. 5 Shishlenin, Maxim Aleksandrovich 5 Smirnova, Alexandra B. 5 Sullivan, Anders J. 5 Tikhonravov, Alexander V. 5 Vatulyan, Aleksandr Ovanesovich 4 Agoshkov, Valeriĭ Ivanovich 4 Antipin, Anatoly Sergeevich 4 Clempner, Julio B. 4 Ingham, Derek Binns 4 Khoa, Vo Anh 4 Kolesov, Aleksandr Egorovich 4 Pelekanos, George 4 Poznyak, Aleksandr Semënovich 4 Titarenko, Valery N. 3 Bredies, Kristian 3 Cheng, Xiaoliang 3 Đinh Nho Hào 3 Dryazhenkov, Andrey A. 3 Elliott, Lionel 3 Freeden, Willi 3 Korolev, Yury M. 3 Korotkiĭ, Aleksandr Illarionovich 3 Li, Jingzhi 3 Maslakov, M. L. 3 Nashed, M. Zuhair 3 Potapov, Mikhaĭl Mikhaĭlovich 3 Ramm, Alexander G. 3 Sanchez-Avila, Carmen 3 Sharapova, Svetlana A. 3 Solov’ev, Vyacheslav V. 3 Vasin, Vladimir Vasil’evich 2 Ai, Xia 2 Astratov, Vasily N. 2 Bidney, Grant W. 2 Borzunov, Andrey A. 2 Braga, Joao Paulo 2 Chen, Wen 2 Cheng, Jin 2 Decamp, Linda 2 Dong, Guozhi 2 Dos Santos, José Paulo Carvalho 2 Gavrilov, S. V. 2 Ghaderi Aram, Morteza 2 Gong, Rongfang 2 Gribanova, E. I. 2 Han, Bo 2 Isaev, T. F. 2 Kang, Yan 2 Kokurin, Mikhail Mikhailovich 2 Koshev, Nikolaj A. 2 Koshev, Nikolay A. 2 Kuramshina, Gulnara M. 2 Kuzhuget, Andrey V. 2 Le Thi, Hoai An 2 Leem, Koung Hee 2 Lemes, Nelson H. T. 2 Lin, Ji 2 Liu, Chein-Shan 2 Liu, Jiaqi 2 Loubes, Jean-Michel 2 Lu, Shuai 2 Nesterov, Sergeĭ Anatol’evich 2 Nguyen Huy Tuan 2 Nguyen, Dinh Liem 2 Öktem, Ozan 2 Ota, Yasushi 2 Pham Dinh Tao 2 Popov, Leonid Denisovich 2 Santos, Taináh M. R. 2 Scherzer, Otmar 2 Seryozhnikov, S. Y. 2 Sevroglou, Vassilios 2 Shi, Cong 2 Sidikova, Anna Ivanovna 2 Sixou, Bruno 2 Tavares, Camila A. 2 Teng, Yueyang 2 Viloche Bazán, Fermín S. 2 Wang, Chen 2 Wei, Ting 2 Xue, Feng ...and 391 more Authors all top 5 Cited in 102 Serials 47 Journal of Inverse and Ill-Posed Problems 27 Computational Mathematics and Mathematical Physics 23 Inverse Problems in Science and Engineering 17 Inverse Problems 13 Journal of Computational and Applied Mathematics 8 Computers & Mathematics with Applications 8 Russian Mathematics 7 Applied Numerical Mathematics 6 Computer Methods in Applied Mechanics and Engineering 6 Computational Mathematics and Modeling 6 Engineering Analysis with Boundary Elements 6 Proceedings of the Steklov Institute of Mathematics 6 Inverse Problems and Imaging 5 Journal of Mathematical Sciences (New York) 5 Advances in Computational Mathematics 5 SIAM Journal on Imaging Sciences 4 Journal of Mathematical Analysis and Applications 4 Mathematical Notes 4 Applied Mathematics and Computation 4 Communications in Nonlinear Science and Numerical Simulation 4 Differential Equations 3 Applicable Analysis 3 Siberian Mathematical Journal 3 Journal of Integral Equations and Applications 3 Applied Mathematical Modelling 3 Automation and Remote Control 3 Computational and Applied Mathematics 3 Mathematical Problems in Engineering 3 Doklady Mathematics 3 Journal of Applied Mechanics and Technical Physics 3 GEM - International Journal on Geomathematics 2 Journal of Applied Mathematics and Mechanics 2 Journal of Soviet Mathematics 2 Mathematics and Computers in Simulation 2 Numerical Functional Analysis and Optimization 2 Moscow University Computational Mathematics and Cybernetics 2 Journal of Economic Dynamics & Control 2 International Journal of Computer Mathematics 2 SIAM Journal on Applied Mathematics 2 Journal of Mathematical Imaging and Vision 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 2 Advances in Difference Equations 2 Ural Mathematical Journal 1 Computers and Fluids 1 International Journal of Heat and Mass Transfer 1 International Journal of Solids and Structures 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Mathematical Biosciences 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Wave Motion 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Mathematics of Computation 1 Prikladnaya Matematika i Mekhanika 1 Computing 1 International Journal for Numerical Methods in Engineering 1 SIAM Journal on Numerical Analysis 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Science in China. Series A 1 Applications of Mathematics 1 Journal of Global Optimization 1 Communications in Statistics. Theory and Methods 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Optimization 1 Journal of Computer and Systems Sciences International 1 Communications in Numerical Methods in Engineering 1 International Applied Mechanics 1 Physics of Fluids 1 Applied and Computational Harmonic Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 ETNA. Electronic Transactions on Numerical Analysis 1 Monte Carlo Methods and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Journal of Inequalities and Applications 1 Chaos 1 Optimization and Engineering 1 Lobachevskii Journal of Mathematics 1 The ANZIAM Journal 1 Nonlinear Analysis. Real World Applications 1 Matematicheskoe Modelirovanie 1 Foundations of Computational Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Milan Journal of Mathematics 1 Central European Journal of Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Computational & Mathematical Methods in Medicine 1 Advances in Numerical Analysis 1 Journal of Mathematics in Industry 1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 1 Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications ...and 2 more Serials all top 5 Cited in 34 Fields 224 Numerical analysis (65-XX) 117 Partial differential equations (35-XX) 70 Operator theory (47-XX) 33 Mechanics of deformable solids (74-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 27 Integral equations (45-XX) 22 Optics, electromagnetic theory (78-XX) 22 Operations research, mathematical programming (90-XX) 22 Biology and other natural sciences (92-XX) 17 Information and communication theory, circuits (94-XX) 14 Geophysics (86-XX) 14 Systems theory; control (93-XX) 12 Computer science (68-XX) 12 Fluid mechanics (76-XX) 11 Classical thermodynamics, heat transfer (80-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Statistics (62-XX) 7 Real functions (26-XX) 7 Ordinary differential equations (34-XX) 5 Probability theory and stochastic processes (60-XX) 4 Functional analysis (46-XX) 3 Approximations and expansions (41-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral transforms, operational calculus (44-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year