Journal of Inverse and Ill-Posed Problems Short Title: J. Inverse Ill-Posed Probl. Publisher: De Gruyter, Berlin ISSN: 0928-0219; 1569-3945/e Online: http://www.degruyter.com/view/j/jiip Comments: Journal; Indexed cover-to-cover Documents Indexed: 1,390 Publications (since 1993) References Indexed: 814 Publications with 17,275 References. all top 5 Latest Issues 32, No. 1 (2024) 31, No. 6 (2023) 31, No. 5 (2023) 31, No. 4 (2023) 31, No. 3 (2023) 31, No. 2 (2023) 31, No. 1 (2023) 30, No. 6 (2022) 30, No. 5 (2022) 30, No. 4 (2022) 30, No. 3 (2022) 30, No. 2 (2022) 30, No. 1 (2022) 29, No. 6 (2021) 29, No. 5 (2021) 29, No. 4 (2021) 29, No. 3 (2021) 29, No. 2 (2021) 29, No. 1 (2021) 28, No. 6 (2020) 28, No. 5 (2020) 28, No. 4 (2020) 28, No. 3 (2020) 28, No. 2 (2020) 28, No. 1 (2020) 27, No. 6 (2019) 27, No. 5 (2019) 27, No. 4 (2019) 27, No. 3 (2019) 27, No. 2 (2019) 27, No. 1 (2019) 26, No. 6 (2018) 26, No. 5 (2018) 26, No. 4 (2018) 26, No. 3 (2018) 26, No. 2 (2018) 26, No. 1 (2018) 25, No. 6 (2017) 25, No. 5 (2017) 25, No. 4 (2017) 25, No. 3 (2017) 25, No. 2 (2017) 25, No. 1 (2017) 24, No. 6 (2016) 24, No. 5 (2016) 24, No. 4 (2016) 24, No. 3 (2016) 24, No. 2 (2016) 24, No. 1 (2016) 23, No. 6 (2015) 23, No. 5 (2015) 23, No. 4 (2015) 23, No. 3 (2015) 23, No. 2 (2015) 23, No. 1 (2015) 22, No. 6 (2014) 22, No. 5 (2014) 22, No. 4 (2014) 22, No. 3 (2014) 22, No. 2 (2014) 22, No. 1 (2014) 21, No. 6 (2013) 21, No. 5 (2013) 21, No. 4 (2013) 21, No. 3 (2013) 21, No. 2 (2013) 21, No. 1 (2013) 20, No. 5-6 (2012) 20, No. 4 (2012) 20, No. 3 (2012) 20, No. 2 (2012) 20, No. 1 (2012) 19, No. 6 (2011) 19, No. 4-5 (2011) 19, No. 3 (2011) 19, No. 2 (2011) 19, No. 1 (2011) 18, No. 9 (2010) 18, No. 8 (2010) 18, No. 7 (2010) 18, No. 6 (2010) 18, No. 5 (2010) 18, No. 4 (2010) 18, No. 3 (2010) 18, No. 2 (2010) 18, No. 1 (2010) 17, No. 9 (2009) 17, No. 8 (2009) 17, No. 7 (2009) 17, No. 6 (2009) 17, No. 5 (2009) 17, No. 4 (2009) 17, No. 3 (2009) 17, No. 2 (2009) 17, No. 1 (2009) 16, No. 9 (2008) 16, No. 8 (2008) 16, No. 7 (2008) 16, No. 6 (2008) 16, No. 5 (2008) ...and 91 more Volumes all top 5 Authors 58 Kabanikhin, Sergeĭ Igorevich 42 Lorenzi, Alfredo 41 Anikonov, Yuriĭ Evgenievich 33 Yamamoto, Masahiro 32 Romanov, Vladimir Gavrilovich 25 Banks, Harvey Thomas 23 Yagola, Anatoliĭ Grigor’evich 22 Ramm, Alexander G. 20 Klibanov, Michael V. 18 Shishlenin, Maxim Aleksandrovich 18 Vasin, Vladimir Vasil’evich 16 Bakushinskĭ, Anatoliĭ Borisovich B. 16 Ikehata, Masaru 16 Smirnova, Alexandra B. 16 Yurko, Vjacheslav Anatoljevich 15 Đinh Nho Hào 15 Hasanoǧlu, Alemdar 15 Hofmann, Bernd 15 Neubauer, Andreas 13 Denisov, Alexander Mikhailovich 12 Belishev, Mikhail Igorevitch 12 Yang, Chuanfu 11 Cheng, Jin 11 Lesnic, Daniel 10 Bukhgeǐm, Alexandre L. 10 Karchevsky, Andrey Leonidovich 10 Schuster, Thomas 10 Tanana, Vitaly Pavlovich 9 Derevtsov, Evgeny Yurievich 9 Janno, Jaan 9 Kindermann, Stefan 9 Kokurin, Mikhail Yur’evich 9 Leonov, Aleksandr Sergeevich 9 Maksimov, Vyacheslav Ivanovich 9 Nair, M. Thamban 9 Nakamura, Gen 9 Scherzer, Otmar 8 Alekseev, Gennady V. 8 Bondarenko, Natalia P. 8 Flemming, Jens 8 He, Sailing 8 Krivorotko, Olga I. 8 Neshchadim, Mikhail Vladimirovich 8 Novikov, Roman G. 8 Triggiani, Roberto 8 Wang, Yanfei 7 Choulli, Mourad 7 George, Santhosh 7 Kaltenbacher, Barbara 7 Kazantsev, Sergeĭ Gavrilovich 7 Kress, Rainer 7 Louis, Alfred Karl 7 Piskarëv, S. I. 7 Ramlau, Ronny 7 von Wolfersdorf, Lothar 6 Anikonov, Dmitriĭ Sergeevich 6 Bardakov, Valeriĭ Georgievich 6 Blagovestchenskiĭ, Aleksandr Sergeevich 6 Engl, Heinz W. 6 Maass, Peter 6 Mathé, Peter 6 Messina, Francesca 6 Nguyen Huy Tuan 6 Pandolfi, Luciano 6 Prokhorov, Igor’ Vasil’evich 6 Tautenhahn, Ulrich 6 Trong, Dang Duc 6 Vessella, Sergio 6 Xu, Xiaochuan 5 Ageev, Aleksandr Leonidovich 5 Alessandrini, Giovanni 5 Avdonin, Sergeĭ Anatol’evich 5 Ayupova, Natalia Borisovna 5 Beilina, Larisa 5 Bugueva, T. V. 5 Cheng, Xiaoliang 5 Cherednichenko, Victor G. 5 Duc, Nguyen Van 5 Elbadia, Abdellatif 5 Hämarik, Uno 5 Imanuvilov, Oleg Yu. 5 Inglese, Gabriele 5 Kappel, Franz 5 Kozhanov, Aleksandr Ivanovich 5 Lavrent’ev, Mikhail Mikhaĭlovich 5 Li, Gongsheng 5 Luk’yanenko, Dmitriĭ Vital’evich 5 Luo, Xingjun 5 Nurseitov, Daniyar B. 5 Pereverzev, Sergei V. 5 Priimenko, Viatcheslav I. 5 Regińska, Teresa 5 Serovaĭskiĭ, Simon Ya. 5 Sharafutdinov, Vladimir A. 5 Shieh, Chung-Tsun 5 Titarenko, Valery N. 5 Wei, Ting 5 Yan, Guozheng 5 Zhang, Ye 5 Zirilli, Francesco ...and 1,387 more Authors all top 5 Fields 813 Partial differential equations (35-XX) 581 Numerical analysis (65-XX) 248 Operator theory (47-XX) 134 Integral equations (45-XX) 126 Ordinary differential equations (34-XX) 91 Calculus of variations and optimal control; optimization (49-XX) 90 Mechanics of deformable solids (74-XX) 89 Biology and other natural sciences (92-XX) 80 Optics, electromagnetic theory (78-XX) 69 Integral transforms, operational calculus (44-XX) 62 Geophysics (86-XX) 59 Fluid mechanics (76-XX) 55 Systems theory; control (93-XX) 35 Operations research, mathematical programming (90-XX) 33 Potential theory (31-XX) 32 Classical thermodynamics, heat transfer (80-XX) 27 Statistics (62-XX) 27 Information and communication theory, circuits (94-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 25 Differential geometry (53-XX) 23 Quantum theory (81-XX) 20 Computer science (68-XX) 20 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Probability theory and stochastic processes (60-XX) 15 History and biography (01-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 14 Functions of a complex variable (30-XX) 14 Statistical mechanics, structure of matter (82-XX) 12 General and overarching topics; collections (00-XX) 12 Functional analysis (46-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Real functions (26-XX) 11 Special functions (33-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Approximations and expansions (41-XX) 4 Convex and discrete geometry (52-XX) 4 Mechanics of particles and systems (70-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Difference and functional equations (39-XX) 3 Astronomy and astrophysics (85-XX) 1 Measure and integration (28-XX) 1 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 946 Publications have been cited 6,048 times in 4,134 Documents Cited by ▼ Year ▼ Definitions and examples of inverse and ill-posed problems. Zbl 1170.35100 Kabanikhin, S. I. 128 2008 Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems. Zbl 1273.35005 Klibanov, Michael V. 128 2013 Recovering a potential from Cauchy data in the two-dimensional case. Zbl 1142.30018 Bukhgeim, A. L. 105 2008 Nonstationary inverse problems and state estimation. Zbl 0927.35134 Kaipio, J.; Somersalo, E. 77 1999 On an inverse source problem for the heat equation. Application to a pollution detection problem. Zbl 1028.35164 El Badia, A.; Ha-Duong, T. 58 2002 On problems of determining the source function in a parabolic equation. Zbl 0828.35142 Savateev, E. G. 56 1995 Optimal stable approximations for the sideways heat equation. Zbl 0879.35158 Tautenhahn, U. 54 1997 Conditional stability in determining a heat source. Zbl 1081.35136 Choulli, M.; Yamamoto, M. 47 2004 An adjoint problem approach and coarse-fine mesh method for identification of the diffusion coefficient in a linear parabolic equation. Zbl 1135.35095 Hasanov, A.; Duchateau, P.; Pektaş, B. 45 2006 Regularization of linear inverse problems with total generalized variation. Zbl 1302.65167 Bredies, Kristian; Holler, Martin 44 2014 Size estimation of inclusion. Zbl 0928.35206 Ikehata, M. 43 1998 Convergence rates and source conditions for Tikhonov regularization with sparsity constraints. Zbl 1161.65041 Lorenz, D. A. 43 2008 Inverse nodal problems for Sturm-Liouville operators on star-type graphs. Zbl 1168.34306 Yurko, V. 42 2008 Inverse problem for interior spectral data of the Sturm-Liouville operator. Zbl 1035.34008 Mochizuki, K.; Trooshin, I. 39 2001 Reconstruction of the support function for inclusion from boundary measurements. Zbl 0972.35185 Ikehata, M. 35 2000 Global uniqueness, observability and stabilization of nonconservative Schrödinger equations via pointwise Carleman estimates. I: \(H^1(\Omega)\)-estimates. Zbl 1057.35042 Lasiecka, I.; Triggiani, R.; Zhang, X. 35 2004 Convexification of restricted Dirichlet-to-Neumann map. Zbl 1386.35478 Klibanov, Michael V. 35 2017 A sensitivity matrix based methodology for inverse problem formulation. Zbl 1179.34008 Cintrón-Arias, A.; Banks, H. T.; Capaldi, A.; Lloyd, A. L. 34 2009 How to draw a picture of an unknown inclusion from boundary measurements. Two mathematical inversion algorithms. Zbl 0928.35207 Ikehata, M. 33 1999 An inverse nodal problem for integro-differential operators. Zbl 1279.34090 Kuryshova, Yulia V.; Shieh, Chung-Tsun 33 2010 Recovering the conductivity at the boundary from the Dirichlet to Neumann map: A pointwise result. Zbl 0991.35104 Brown, R. M. 31 2001 Approximate and analytical inversion formulas in heat conduction on multidimensional spaces. Zbl 1095.35072 Matsuura, T.; Saitoh, S.; Trong, D. D. 29 2005 Inverse problems on graphs: recovering the tree of strings by the BC-method. Zbl 1099.35165 Belishev, M. I.; Vakulenko, A. F. 28 2006 Numerical solution of the multidimensional Gelfand-Levitan equation. Zbl 1326.65124 Kabanikhin, Sergey I.; Sabelfeld, Karl K.; Novikov, Nikita S.; Shishlenin, Maxim A. 28 2015 Regularization by projection for a backward problem of the time-fractional diffusion equation. Zbl 1282.65114 Ren, Caixuan; Xu, Xiang; Lu, Shuai 28 2014 Optimizational method for solving the Cauchy problem for an elliptic equation. Zbl 0833.65107 Kabanikhin, S. I.; Karchevsky, A. L. 26 1995 On uniqueness of determination of a form of first degree by its integrals along geodesics. Zbl 0908.35136 Anikonov, Yu. E.; Romanov, V. G. 25 1997 Inverse problems of memory reconstruction. Zbl 0818.45008 Bukhgeim, A. L. 25 1993 Fréchet differentiability of the solution to the acoustic Neumann scattering problem with respect to the domain. Zbl 0858.35139 Potthast, Roland 25 1996 Singular value decomposition for the 2D fan-beam Radon transform of tensor fields. Zbl 1058.65143 Kazantsev, S. G.; Bukhgeim, A. A. 25 2004 On fractional Tikhonov regularization. Zbl 1327.65075 Gerth, Daniel; Klann, Esther; Ramlau, Ronny; Reichel, Lothar 25 2015 Inverse source problems for positive operators. I. Hypoelliptic diffusion and subdiffusion equations. Zbl 1430.35272 Ruzhansky, Michael; Tokmagambetov, Niyaz; Torebek, Berikbol T. 24 2019 Global uniqueness, observability and stabilization of nonconservative Schrödinger equations via pointwise Carleman estimates. II: \(L_2(\Omega)\)-estimates. Zbl 1061.35170 Lasiecka, I.; Triggiani, R.; Zhang, X. 23 2004 An inverse problem in corrosion detection: stability estimates. Zbl 1081.78006 Choulli, M. 23 2004 Wavelet-Galerkin methods for ill-posed problems. Zbl 0867.65026 Dicken, V.; Maass, P. 23 1996 A time delay dynamical model for outbreak of 2019-nCov and the parameter identification. Zbl 1439.92170 Chen, Yu; Cheng, Jin; Jiang, Yu; Liu, Keji 23 2020 Inverse spectral problems for differential operators on arbitrary compact graphs. Zbl 1279.34029 Yurko, Vjacheslav Anatoljevich 23 2010 Some stability estimates in determining sources and coefficients. Zbl 1110.35100 Choulli, M.; Yamamoto, M. 22 2006 Dynamical variant of the BC-method: Theory and numerical testing. Zbl 0927.35129 Belishev, M. I.; Gotlib, V. Yu. 22 1999 On Nesterov acceleration for Landweber iteration of linear ill-posed problems. Zbl 1367.47017 Neubauer, Andreas 22 2017 Asymptotic analysis of solving an inverse boundary value problem for a nonlinear singularly perturbed time-periodic reaction-diffusion-advection equation. Zbl 1430.35269 Lukyanenko, Dmitry V.; Shishlenin, Maxim A.; Volkov, Vladimir T. 22 2019 Numerical methods for solving inverse problems for time fractional diffusion equation with variable coefficient. Zbl 1205.26009 Bondarenko, A. N.; Ivaschenko, D. S. 21 2009 A quasi-boundary-value method for the Cauchy problem for elliptic equations with nonhomogeneous Neumann data. Zbl 1279.65129 Feng, Xiao-Li; Eldén, Lars; Fu, Chu-Li 21 2010 General theory of the ill-posed Cauchy problem. Zbl 0835.35148 Melnikova, I. V. 20 1995 Reconstruction of inclusion from boundary measurements. Zbl 0994.35120 Ikehata, M. 20 2002 An inverse problem for linear Sobolev type equations. Zbl 1081.35138 Fedorov, V. E.; Urazaeva, A. V. 20 2004 On a criterion for the solvability of one ill-posed problem for the biharmonic equation. Zbl 1351.35021 Kal’menov, Tynysbek S.; Sadybekov, Makhmud A.; Iskakova, Ulzada A. 20 2016 Metric and Bregman projections onto affine subspaces and their computation via sequential subspace optimization methods. Zbl 1160.46048 Schöpfer, F.; Schuster, T.; Louis, A. K. 20 2008 The first solution of a long standing problem: reconstruction formula for a 3-d phaseless inverse scattering problem for the Schrödinger equation. Zbl 1322.35175 Klibanov, Michael V.; Romanov, Vladimir G. 20 2015 Fast Toeplitz linear system inversion for solving two-dimensional acoustic inverse problem. Zbl 1327.65184 Kabanikhin, Sergey I.; Novikov, Nikita S.; Oseledets, Ivan V.; Shishlenin, Maxim A. 20 2015 Inverse problems for second-order differential pencils with Dirichlet boundary conditions. Zbl 1279.34021 Buterin, Sergey A.; Yurko, Vjacheslav A. 20 2012 Standard errors and confidence intervals in inverse problems: sensitivity and associated pitfalls. Zbl 1124.34002 Banks, H. T.; Ernstberger, S. L.; Grove, S. L. 19 2007 Sensitivity functions and their uses in inverse problems. Zbl 1141.34049 Banks, H. T.; Dediu, S.; Ernstberger, S. L. 19 2007 Stability and convergence of the wavelet-Galerkin method for the sideways heat equation. Zbl 0947.35176 Regińska, T.; Eldén, L. 19 2000 On iterative methods for solving ill-posed problems modeled by partial differential equations. Zbl 0980.35166 Baumeister, J.; Leitão, A. 19 2001 Sobolev error estimates and a priori parameter selection for semi-discrete Tikhonov regularization. Zbl 1183.41028 Krebs, J.; Louis, A. K.; Wendland, Holger 18 2009 Partial inverse problems for the Sturm-Liouville operator on a star-shaped graph with mixed boundary conditions. Zbl 1407.34043 Bondarenko, Natalia Pavlovna 18 2018 Iterative methods for an inverse heat conduction problem. Zbl 0989.35138 Bastay, G.; Kozlov, V. A.; Turesson, B. O. 18 2001 Analytic extensions and Cauchy-type inverse problems on annular domains: stability results. Zbl 1111.35121 Leblond, J.; Mahjoub, M.; Partington, J. R. 17 2006 Two-step regularization methods for linear inverse problems. Zbl 1107.65045 Klann, E.; Maaß, P.; Ramlau, R. 17 2006 Explicit formula for the solution of the phaseless inverse scattering problem of imaging of nano structures. Zbl 1328.35314 Klibanov, Michael V.; Romanov, Vladimir G. 17 2015 Sequential subspace optimization for nonlinear inverse problems. Zbl 1355.65147 Wald, Anne; Schuster, Thomas 17 2017 Inverse source problems for time-fractional mixed parabolic-hyperbolic-type equations. Zbl 1322.35173 Feng, Pengbin; Karimov, Erkinjon T. 17 2015 A new approximate mathematical model for global convergence for a coefficient inverse problem with backscattering data. Zbl 1279.35094 Beilina, Larisa; Klibanov, Michael V. 17 2012 Satisfier function in Ritz-Galerkin method for the identification of a time-dependent diffusivity. Zbl 1279.35059 Yousefi, S. A.; Lesnic, Daniel; Barikbin, Zahra 17 2012 On approximation of inverse problems for abstract elliptic problems. Zbl 1195.65159 Orlovsky, D.; Piskarev, S. 16 2009 Control operators and iterative algorithms in variational data assimilation problems. Zbl 1031.93066 Shutyaev, V. 16 2001 Monotonicity based imaging methods for elliptic and parabolic inverse problems. Zbl 1111.35127 Tamburrino, A. 16 2006 Bayesian posterior contraction rates for linear severely ill-posed inverse problems. Zbl 1288.62036 Agapiou, Sergios; Stuart, Andrew M.; Zhang, Yuan-Xiang 16 2014 Reconstruction of dynamic objects with affine deformations in computerized tomography. Zbl 1291.45015 Hahn, Bernadette 16 2014 Unique determination of potentials and semilinear terms of semilinear elliptic equations from partial Cauchy data. Zbl 1273.35318 Imanuvilov, Oleg; Yamamoto, Masahiro 16 2013 Inverse problem of determining an order of the Caputo time-fractional derivative for a subdiffusion equation. Zbl 1461.35207 Alimov, Shavkat; Ashurov, Ravshan 16 2020 Linear inverse problems for parabolic and hyperbolic equations. Zbl 1279.35114 Kozhanov, Aleksandr Ivanovich; Safiullova, Regina Rifkhatovna 16 2010 On the inversion formulas of Pestov and Uhlmann for the geodesic ray transform. Zbl 1279.44002 Krishnan, Venkateswaran P. 16 2010 Iterative methods for solving a nonlinear boundary inverse problem in glaciology. Zbl 1173.35718 Avdonin, S.; Kozlov, V.; Maxwell, D.; Truffer, M. 15 2009 Inverse source problem for a transmission problem for a parabolic equation. Zbl 1099.35166 Bellassoued, M.; Yamamoto, M. 15 2006 Convergence analysis of an inexact iteratively regularized Gauss-Newton method under general source conditions. Zbl 1129.65043 Langer, S.; Hohage, T. 15 2007 Generalized sensitivities and optimal experimental design. Zbl 1279.62089 Banks, H. T.; Dediu, Sava; Ernstberger, Stacey L.; Kappel, Franz 15 2010 Synthesis of global convergence and adaptivity for a hyperbolic coefficient inverse problem in 3D. Zbl 1279.65116 Beilina, Larisa; Klibanov, Michael V. 15 2010 On convergence of regularized modified Newton’s method for nonlinear ill-posed problems. Zbl 1279.65069 George, Santhosh 15 2010 A global stability estimate for the Gel’fand-Calderón inverse problem in two dimensions. Zbl 1279.35120 Novikov, Roman; Santacesaria, Matteo 15 2010 Singular value decomposition and its application to numerical inversion for ray transforms in 2D vector tomography. Zbl 1279.33015 Derevtsov, Evgeny Y.; Efimov, Anton V.; Louis, Alfred K.; Schuster, Thomas 15 2011 Optimization analysis of the inverse coefficient problem for the nonlinear convection-diffusion-reaction equation. Zbl 1516.35501 Brizitskii, Roman V.; Saritskaya, Zhanna Y. 15 2018 Stability analysis for determining a source term in a 1-D advection-dispersion equation. Zbl 1111.35122 Li, Gongsheng; Yamamoto, M. 14 2006 A note on logarithmic convergence rates for nonlinear Tikhonov regularization. Zbl 1154.65042 Kaltenbacher, B. 14 2008 A two-dimensional backward heat problem with statistical discrete data. Zbl 1382.35120 Minh, Nguyen Dang; To Duc, Khanh; Tuan, Nguyen Huy; Trong, Dang Duc 14 2018 Generic well-posedness of a linear inverse parabolic problem with diffusion parameters. Zbl 0928.35203 Choulli, M.; Yamamoto, M. 14 1999 Well-posedness of an inverse problem of Navier-Stokes equations with the final overdetermination. Zbl 1181.35329 Fan, J.; Nakamura, G. 14 2009 Inverse problem for a parabolic equation with integral overdetermination. Zbl 1056.35149 Prilepko, A. I.; Tkachenko, D. S. 14 2003 The BC-method in the inverse problem for the heat equation. Zbl 0886.35166 Avdonin, S. A.; Belishev, M. I.; Rozhkov, Yu. S. 14 1997 Use of extrapolation in regularization methods. Zbl 1127.65029 Hämarik, U.; Palm, R.; Raus, T. 14 2007 Open issues of stability for the inverse conductivity problem. Zbl 1221.35443 Alessandrini, G. 14 2007 Identification of biological models described by systems of nonlinear differential equations. Zbl 1369.92002 Kabanikhin, Sergey I.; Krivorotko, Olga I. 14 2015 Numerical testing in determination of sound speed from a part of boundary by the BC-method. Zbl 1336.65156 Belishev, Mikhail I.; Ivanov, Ivan B.; Kubyshkin, Igor V.; Semenov, Vladimir S. 14 2016 Modulus of continuity for conditionally stable ill-posed problems in Hilbert space. Zbl 1156.47013 Hofmann, B.; Mathé, P.; Schieck, M. 14 2008 Inverse source problem for parabolic equation with the condition of integral observation in time. Zbl 1393.35079 Prilepko, Aleksey I.; Kamynin, Vitaly L.; Kostin, Andrew B. 14 2018 A convergent numerical method to recover the initial condition of nonlinear parabolic equations from lateral Cauchy data. Zbl 1487.65143 Thuy Thi Thu Le; Nguyen, Loc Hoang 14 2022 Inverse problems for the ground penetrating radar. Zbl 1278.65145 Kabanikhin, S. I.; Nurseitov, D. B.; Shishlenin, M. A.; Sholpanbaev, B. B. 14 2013 Theory and examples of variational regularization with non-metric fitting functionals. Zbl 1280.47062 Flemming, Jens 14 2010 Phaseless inverse problems with interference waves. Zbl 1401.35350 Romanov, Vladimir G.; Yamamoto, Masahiro 14 2018 A numerical solution of the dynamic vector tomography problem using the truncated singular value decomposition method. Zbl 07803167 Polyakova, Anna P.; Svetov, Ivan E. 1 2024 The mean field games system: Carleman estimates, Lipschitz stability and uniqueness. Zbl 1518.35677 Klibanov, Michael V. 3 2023 Method for solving inverse spectral problems on quantum star graphs. Zbl 1519.34015 Avdonin, Sergei A.; Kravchenko, Vladislav V. 3 2023 Approximate Lipschitz stability for phaseless inverse scattering with background information. Zbl 1519.35082 Sivkin, Vladimir N. 2 2023 Extracting discontinuity using the probe and enclosure methods. Zbl 1521.35207 Ikehata, Masaru 2 2023 Stability of determination of Riemann surface from its DN-map in terms of holomorphic immersions. Zbl 1512.35653 Belishev, Mikhail I.; Korikov, Dmitrii V. 2 2023 A mollifier approach to regularize a Cauchy problem for the inhomogeneous Helmholtz equation. Zbl 1525.35079 Maréchal, Pierre; Lee, Walter Simo Tao; Triki, Faouzi 1 2023 On the recovery of internal source for an elliptic system by neural network approximation. Zbl 1526.35327 Zhang, Hui; Liu, Jijun 1 2023 Uniqueness and stability for inverse source problem for fractional diffusion-wave equations. Zbl 1528.35231 Cheng, Xing; Li, Zhiyuan 1 2023 Direct and inverse problems for time-fractional heat equation generated by Dunkl operator. Zbl 1518.35618 Bekbolat, Bayan; Serikbaev, Daurenbek; Tokmagambetov, Niyaz 1 2023 Agent-based mathematical model of COVID-19 spread in Novosibirsk region: identifiability, optimization and forecasting. Zbl 1515.92078 Krivorotko, Olga; Sosnovskaia, Mariia; Kabanikhin, Sergey 1 2023 A partial inverse problem for non-self-adjoint Sturm-Liouville operators with a constant delay. Zbl 1522.34099 Wang, Yu Ping; Keskin, Baki; Shieh, Chung-Tsun 1 2023 On mixed and transverse ray transforms on orientable surfaces. Zbl 1517.44001 Ilmavirta, Joonas; Mönkkönen, Keijo; Railo, Jesse 1 2023 Stability for the electromagnetic inverse source problem in inhomogeneous media. Zbl 1507.35347 Zhao, Yue 1 2023 A convergent numerical method to recover the initial condition of nonlinear parabolic equations from lateral Cauchy data. Zbl 1487.65143 Thuy Thi Thu Le; Nguyen, Loc Hoang 14 2022 On local and global structures of transmission eigenfunctions and beyond. Zbl 1486.35320 Liu, Hongyu 12 2022 An inverse problem of radiative potentials and initial temperatures in parabolic equations with dynamic boundary conditions. Zbl 1491.35445 Ait Ben Hassi, El Mustapha; Chorfi, Salah-Eddine; Maniar, Lahcen 7 2022 On an inverse boundary value problem for a nonlinear time-harmonic Maxwell system. Zbl 1491.35450 Cârstea, Cătălin I. 3 2022 Imaging of bi-anisotropic periodic structures from electromagnetic near-field data. Zbl 1486.35469 Nguyen, Dinh-Liem; Trung Truong 3 2022 Regularization of the backward stochastic heat conduction problem. Zbl 1491.35443 Tuan, Nguyen Huy; Lesnic, Daniel; Thach, Tran Ngoc; Ngoc, Tran Bao 2 2022 Uniqueness and stability analysis of final data inverse source problems for evolution equations. Zbl 1490.74055 Romanov, Vladimir; Hasanov, Alemdar 2 2022 Inverse coefficient problems and fast automatic differentiation. Zbl 1490.80002 Evtushenko, Yury; Zubov, Vladimir; Albu, Alla 2 2022 The modulus of the Fourier transform on a sphere determines 3-dimensional convex polytopes. Zbl 1497.42022 Engel, Konrad; Laasch, Bastian 2 2022 Fixed angle inverse scattering in the presence of a Riemannian metric. Zbl 1493.35114 Ma, Shiqi; Salo, Mikko 2 2022 Legendre spectral projection methods for Fredholm integral equations of first kind. Zbl 1502.65278 Patel, Subhashree; Panigrahi, Bijaya Laxmi; Nelakanti, Gnaneshwar 2 2022 Inverse problem with final overdetermination for time-fractional differential equation in a Banach space. Zbl 1494.34079 Orlovsky, Dmitry; Piskarev, Sergey 2 2022 On an iterative fractional Tikhonov-Landweber method for ill-posed problems. Zbl 1492.65152 Xiong, Xiangtuan; Li, Zhenping; Li, Jun 1 2022 Simultaneous inversion of a fractional order and a space source term in an anomalous diffusion model. Zbl 1512.65200 Sun, Liangliang; Yan, Xiongbin; Liao, Kaifang 1 2022 Convergence analysis of iteratively regularized Gauss-Newton method with frozen derivative in Banach spaces. Zbl 1521.47099 Mittal, Gaurav; Giri, Ankik Kumar 1 2022 Recovery of a Lamé parameter from displacement fields in nonlinear elasticity models. Zbl 1495.35209 Carrillo, Hugo; Waters, Alden 1 2022 On unique determination of an unknown spatial load in damped Euler-Bernoulli beam equation from final time output. Zbl 1495.74029 Dileep, Anjuna; Hasanov, Alemdar; Sakthivel, Kumarasamy; Sebu, Cristiana 1 2022 Can a single scalar second order PDE govern well the propagation of the electric wave field in a heterogeneous 3D medium? Zbl 1492.35328 Romanov, Vladimir G.; Klibanov, Michael V. 1 2022 Erratum to: “Optimal convergence rates for inexact Newton regularization with CG as inner iteration”. Zbl 07569048 Neubauer, Andreas 1 2022 Carleman estimates and some inverse problems for the coupled quantitative thermoacoustic equations by boundary data. I: Carleman estimates. Zbl 1498.35621 Li, Shumin; Shang, Yunxia 1 2022 An inverse problem for Moore-Gibson-Thompson equation arising in high intensity ultrasound. Zbl 1498.35612 Arancibia, Rogelio; Lecaros, Rodrigo; Mercado, Alberto; Zamorano, Sebastián 1 2022 Estimating adsorption isotherm parameters in chromatography via a virtual injection promoting double feed-forward neural network. Zbl 07595871 Xu, Chen; Zhang, Ye 1 2022 Imaging of mass distributions from partial domain measurement. Zbl 1498.35617 Hrizi, Mourad; Novotny, Antonio Andre; Hassine, Maatoug 1 2022 Alternating direction based method for optimal control problem constrained by Stokes equation. Zbl 1485.90133 Gao, Yu; Li, Jingzhi; Song, Yongcun; Wang, Chao; Zhang, Kai 1 2022 Finite-dimensional iteratively regularized processes with an a posteriori stopping for solving irregular nonlinear operator equations. Zbl 1490.65111 Kokurin, Mikhail Y.; Kozlov, Alexander I. 1 2022 Stability and the inverse gravimetry problem with minimal data. Zbl 1483.31012 Isakov, Victor; Titi, Aseel 1 2022 Convergence analysis of a variational quasi-reversibility approach for an inverse hyperbolic heat conduction problem. Zbl 07503658 Vo Anh Khoa; Dao, Manh-Khang 1 2022 Decentralized and parallel primal and dual accelerated methods for stochastic convex programming problems. Zbl 1472.90087 Dvinskikh, Darina; Gasnikov, Alexander 9 2021 On the EIT problem for nonorientable surfaces. Zbl 1469.35246 Belishev, M. I.; Korikov, D. V. 8 2021 Numerical study of the stock market crises based on mean field games approach. Zbl 1480.91320 Trusov, Nikolai V. 5 2021 The methods of dynamical reconstruction of an input in a system of ordinary differential equations. Zbl 1465.34026 Maksimov, Vyacheslav I. 5 2021 An identification problem involving fractional differential variational inequalities. Zbl 1460.35392 Ke, Tran Dinh; Tuan, Tran Van 5 2021 On variational regularization: finite dimension and Hölder stability. Zbl 1466.65039 Mittal, Gaurav; Giri, Ankik Kumar 5 2021 Simultaneously identifying the thermal conductivity and radiative coefficient in heat equation from Dirichlet and Neumann boundary measured outputs. Some necessary estimates for the solutions of the direct and adjoint problems. Zbl 1466.65172 Hasanov, Alemdar 4 2021 Alternating minimization methods for strongly convex optimization. Zbl 1478.90092 Tupitsa, Nazarii; Dvurechensky, Pavel; Gasnikov, Alexander; Guminov, Sergey 4 2021 Inverse extremum problem for a model of endovenous laser ablation. Zbl 1473.35564 Kovtanyuk, Andrey; Chebotarev, Alexander; Astrakhantseva, Alena 4 2021 Global stability result for parabolic Cauchy problems. Zbl 1481.35387 Choulli, Mourad; Yamamoto, Masahiro 3 2021 Inverse problems for stochastic parabolic equations with additive noise. Zbl 1509.60123 Yuan, Ganghua 3 2021 Error estimates for the iteratively regularized Newton-Landweber method in Banach spaces under approximate source conditions. Zbl 1523.47063 Mahale, Pallavi; Dixit, Sharad Kumar 2 2021 A class of inverse problems for fractional order degenerate evolution equations. Zbl 1460.35372 Fedorov, Vladimir E.; Nagumanova, Anna V.; Kostić, Marko 2 2021 Machine learning based data retrieval for inverse scattering problems with incomplete data. Zbl 1460.35283 Gao, Yu; Zhang, Kai 2 2021 Inverse source problem for the abstract fractional differential equation. 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Zbl 1472.34033 Zheng, Xiangcheng; Li, Yiqun; Cheng, Jin; Wang, Hong 1 2021 Recovering a time-dependent potential function in a multi-term time fractional diffusion equation by using a nonlinear condition. Zbl 1460.35390 Jiang, Su Zhen; Wu, Yu Jiang 1 2021 Extract the information from big data with randomly distributed noise. Zbl 07379124 Cheng, Jin; Zhang, Jiantang; Zhong, Min 1 2021 A data and knowledge driven approach for SPECT using convolutional neural networks and iterative algorithms. Zbl 1473.92023 Ao, Wenqi; Li, Wenbin; Qian, Jianliang 1 2021 Guided image filtering based \(\ell_0\) gradient minimization for limited-angle CT image reconstruction. Zbl 1470.94024 Wang, Tianyi; Wang, Chengxiang; Zhao, Kequan; Yu, Wei; Huang, Min 1 2021 Conditional stability for an inverse coefficient problem of a weakly coupled time-fractional diffusion system with half order by Carleman estimate. 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S.; Lesnic, Daniel; Kamynin, Vitaly L.; Kostin, Andrey B. 8 2020 Some features of solving an inverse backward problem for a generalized Burgers’ equation. Zbl 1461.35237 Lukyanenko, Dmitry V.; Prigorniy, Igor V.; Shishlenin, Maxim A. 7 2020 Inverse source problem for a distributed-order time fractional diffusion equation. Zbl 1509.35340 Cheng, Xiaoliang; Yuan, Lele; Liang, Kewei 7 2020 Inverse spectral problems for differential operators with non-separated boundary conditions. Zbl 1511.34028 Yurko, Vjacheslav A. 6 2020 Sampling in thermoacoustic tomography. Zbl 1460.35405 Mathison, Chase 6 2020 Inverse problem of breaking line identification by shape optimization. Zbl 1431.35252 Ghilli, Daria; Kunisch, Karl; Kovtunenko, Victor A. 6 2020 Full reconstruction of a vector field from restricted Doppler and first integral moment transforms in \(\mathbb{R}^n\). Zbl 1446.44001 Mishra, Rohit Kumar 6 2020 The factorization and monotonicity method for the defect in an open periodic waveguide. 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Zbl 1431.65152 Cheng, Jin; Ke, Yufei; Wei, Ting 3 2020 Optimal convergence rates for inexact Newton regularization with CG as inner iteration. Zbl 07173400 Neubauer, Andreas 3 2020 A study of frozen iteratively regularized Gauss-Newton algorithm for nonlinear ill-posed problems under generalized normal solvability condition. Zbl 1433.65106 Bakushinsky, Anatoly; Smirnova, Alexandra 3 2020 The enclosure method for inverse obstacle scattering over a finite time interval. VI: Using shell-type initial data. Zbl 1448.35573 Ikehata, Masaru 3 2020 Partial inverse problems for quadratic differential pencils on a graph with a loop. Zbl 1445.34043 Bondarenko, Natalia P.; Shieh, Chung-Tsun 3 2020 FEM-based scalp-to-cortex EEG data mapping via the solution of the Cauchy problem. Zbl 1446.65147 Koshev, Nikolay; Yavich, Nikolay; Malovichko, Mikhail; Skidchenko, Ekaterina; Fedorov, Maxim 2 2020 ...and 846 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,176 Authors 72 Klibanov, Michael V. 64 Yamamoto, Masahiro 63 Yang, Chuanfu 49 Uhlmann, Gunther Alberto 47 Banks, Harvey Thomas 46 Fu, Chuli 46 Hofmann, Bernd 43 Lesnic, Daniel 41 Nguyen Huy Tuan 36 Xiong, Xiangtuan 33 Bondarenko, Natalia P. 32 Kabanikhin, Sergeĭ Igorevich 31 Nguyen, Loc Hoang 31 Yang, Fan 30 Denisov, Alexander Mikhailovich 27 George, Santhosh 25 Hasanoǧlu, Alemdar 25 Kian, Yavar 25 Li, Xiaoxiao 25 Romanov, Vladimir Gavrilovich 25 Salo, Mikko 25 Yurko, Vjacheslav Anatoljevich 24 Buterin, Sergey Alexandrovich 24 Đinh Nho Hào 24 Liu, Hongyu 22 Han, Bo 22 Kaltenbacher, Barbara 22 Lassas, Matti J. 22 Nakamura, Gen 22 Shishlenin, Maxim Aleksandrovich 22 Wei, Ting 21 Avdonin, Sergeĭ Anatol’evich 21 Beilina, Larisa 21 Maksimov, Vyacheslav Ivanovich 21 Novikov, Roman G. 20 Bellassoued, Mourad 20 Cheng, Jin 20 Harrach, Bastian 18 Ashyralyev, Allaberen 18 Chebotarev, Alexander Yurievich 18 Choulli, Mourad 18 Hu, Guanghui 18 Ikehata, Masaru 18 Li, Jingzhi 18 Yagola, Anatoliĭ Grigor’evich 18 Zhang, Ye 17 Belishev, Mikhail Igorevitch 17 Mathé, Peter 17 Trong, Dang Duc 16 Durdiev, Durdimurod Kalandarovich 16 Kamynin, Vitaly Leonidovich 16 Leonov, Aleksandr Sergeevich 16 Liu, Chein-Shan 16 Liu, Jijun 16 Lorenzi, Alfredo 16 Lu, Shuai 16 Stefanov, Plamen D. 16 Vo Anh Khoa 16 Xu, Xiaochuan 15 Bakushinskĭ, Anatoliĭ Borisovich B. 15 Bredies, Kristian 15 Imanuvilov, Oleg Yu. 15 Johansson, B. Tomas 15 Kindermann, Stefan 15 Krivorotko, Olga I. 15 Marin, Liviu 15 Ramm, Alexander G. 15 Zou, Jun 14 Fëdorov, Vladimir Evgen’evich 14 Janno, Jaan 14 Mikhaylov, Victor S. 14 Monard, François 14 Oksanen, Lauri 14 Pyatkov, Sergeĭ Grigor’evich 14 Ramlau, Ronny 14 Viloche Bazán, Fermín S. 14 Wang, Yanfei 13 Băleanu, Dumitru I. 13 de Hoop, Maarten V. 13 Li, Gongsheng 13 Lin, Yi-Hsuan 13 Tzou, Leo 13 Wang, Jenn-Nan 13 Wang, Yuping 13 Wu, Bin 13 Yan, Guozheng 12 Ageev, Aleksandr Leonidovich 12 Anikonov, Yuriĭ Evgenievich 12 Antonova, Tat’yana Vladimirovna 12 Boumenir, Amin A. 12 Burger, Martin 12 Cheng, Wei 12 Garde, Henrik 12 Hyvönen, Nuutti 12 Kress, Rainer 12 Luk’yanenko, Dmitriĭ Vital’evich 12 Nair, M. 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