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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: Indexed cover-to-cover
 Documents Indexed: 1,250 Publications (since 1993) References Indexed: 675 Publications with 12,880 References.
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Latest Issues

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Authors

 54 Kabanikhin, Sergeĭ Igorevich 42 Lorenzi, Alfredo 41 Anikonov, Yuriĭ Evgenievich 30 Yamamoto, Masahiro 29 Romanov, Vladimir Gavrilovich 25 Banks, Harvey Thomas 22 Ramm, Alexander G. 20 Yagola, Anatoliĭ Grigor’evich 18 Vasin, Vladimir Vasil’evich 17 Klibanov, Michael V. 16 Bakushinskĭ, Anatoliĭ Borisovich B. 16 Yurko, Vjacheslav Anatoljevich 15 Shishlenin, Maxim Aleksandrovich 15 Smirnova, Alexandra B. 14 Ikehata, Masaru 13 Denisov, Alexander Mikhailovich 13 Đinh Nho Hào 13 Hofmann, Bernd 13 Kokurin, Mikhail Yur’evich 13 Neubauer, Andreas 12 Yang, Chuanfu 11 Belishev, Mikhail Igorevitch 10 Cheng, Jin 10 Hasanoǧlu, Alemdar 10 Karchevsky, Andrey Leonidovich 10 Schuster, Thomas 10 Tanana, Vitaly Pavlovich 9 Bukhgeǐm, Alexandre L. 9 Derevtsov, Evgeny Yurievich 9 Janno, Jaan 8 Alekseev, Gennady V. 8 Flemming, Jens 8 He, Sailing 8 Leonov, Aleksandr Sergeevich 8 Lesnic, Daniel 8 Maksimov, Vyacheslav Ivanovich 8 Nair, M. Thamban 8 Nakamura, Gen 8 Neshchadim, Mikhail Vladimirovich 8 Scherzer, Otmar 7 Bondarenko, Natalia P. 7 Kaltenbacher, Barbara 7 Kindermann, Stefan 7 Kress, Rainer 7 Krivorotko, Olga I. 7 Louis, Alfred Karl 7 Novikov, Roman G. 7 von Wolfersdorf, Lothar 6 Bardakov, Valeriĭ Georgievich 6 Blagovestchenskiĭ, Aleksandr Sergeevich 6 Choulli, Mourad 6 Engl, Heinz W. 6 George, Santhosh 6 Kazantsev, Sergeĭ Gavrilovich 6 Maass, Peter 6 Mathé, Peter 6 Messina, Francesca 6 Pandolfi, Luciano 6 Ramlau, Ronny 6 Tautenhahn, Ulrich 6 Triggiani, Roberto 6 Vessella, Sergio 6 Wang, Yanfei 5 Ageev, Aleksandr Leonidovich 5 Alessandrini, Giovanni 5 Anikonov, Dmitriĭ Sergeevich 5 Beilina, Larisa 5 Bugueva, T. V. 5 Cherednichenko, Victor G. 5 Duc, Nguyen Van 5 El Badia, Abdellatif 5 Hämarik, Uno 5 Inglese, Gabriele 5 Kappel, Franz 5 Kozhanov, Aleksandr Ivanovich 5 Lavrent’ev, Mikhail Mikhaĭlovich 5 Li, Gongsheng 5 Nurseitov, Daniyar B. 5 Pereverzev, Sergei V. 5 Piskarëv, S. I. 5 Priimenko, Viatcheslav I. 5 Prokhorov, Igor’ Vasil’evich 5 Regińska, Teresa 5 Sharafutdinov, Vladimir A. 5 Titarenko, Valery N. 5 Trong, Dang Duc 5 Xu, Xiaochuan 5 Zirilli, Francesco 4 Abasheeva, N. L. 4 Antonova, Tat’yana Vladimirovna 4 Avdonin, Sergeĭ Anatol’evich 4 Bukhgeim, Alexander A. 4 Buterin, Sergey Alexandrovich 4 Cheng, Xiaoliang 4 Colombo, Fabrizio 4 Fatone, Lorella 4 Favaron, Alberto 4 Fu, Chuli 4 Golubyatnikov, Vladimir Petrovich 4 Hacísalihoğlu, Hasan Hilmi ...and 1,188 more Authors
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Fields

 723 Partial differential equations (35-XX) 521 Numerical analysis (65-XX) 227 Operator theory (47-XX) 127 Integral equations (45-XX) 117 Ordinary differential equations (34-XX) 80 Mechanics of deformable solids (74-XX) 80 Biology and other natural sciences (92-XX) 78 Calculus of variations and optimal control; optimization (49-XX) 64 Optics, electromagnetic theory (78-XX) 62 Integral transforms, operational calculus (44-XX) 58 Geophysics (86-XX) 54 Fluid mechanics (76-XX) 49 Systems theory; control (93-XX) 29 Operations research, mathematical programming (90-XX) 28 Potential theory (31-XX) 28 Classical thermodynamics, heat transfer (80-XX) 26 Statistics (62-XX) 24 Differential geometry (53-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 20 Information and communication theory, circuits (94-XX) 17 Computer science (68-XX) 17 Quantum theory (81-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Probability theory and stochastic processes (60-XX) 13 History and biography (01-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 General and overarching topics; collections (00-XX) 12 Functions of a complex variable (30-XX) 11 Functional analysis (46-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Approximations and expansions (41-XX) 6 Special functions (33-XX) 4 Real functions (26-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Difference and functional equations (39-XX) 3 Mechanics of particles and systems (70-XX) 2 Convex and discrete geometry (52-XX) 2 Astronomy and astrophysics (85-XX) 1 Measure and integration (28-XX) 1 General topology (54-XX)

Citations contained in zbMATH Open

790 Publications have been cited 4,137 times in 2,867 Documents Cited by Year
Recovering a potential from Cauchy data in the two-dimensional case. Zbl 1142.30018
Bukhgeim, A. L.
2008
Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems. Zbl 1273.35005
Klibanov, Michael V.
2013
Definitions and examples of inverse and ill-posed problems. Zbl 1170.35100
Kabanikhin, S. I.
2008
On problems of determining the source function in a parabolic equation. Zbl 0828.35142
Savateev, E. G.
1995
Optimal stable approximations for the sideways heat equation. Zbl 0879.35158
Tautenhahn, U.
1997
Nonstationary inverse problems and state estimation. Zbl 0927.35134
Kaipio, J.; Somersalo, E.
1999
Conditional stability in determining a heat source. Zbl 1081.35136
Choulli, M.; Yamamoto, M.
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.
2006
On an inverse source problem for the heat equation. Application to a pollution detection problem. Zbl 1028.35164
2002
Inverse problem for interior spectral data of the Sturm-Liouville operator. Zbl 1035.34008
Mochizuki, K.; Trooshin, I.
2001
Size estimation of inclusion. Zbl 0928.35206
Ikehata, M.
1998
Convergence rates and source conditions for Tikhonov regularization with sparsity constraints. Zbl 1161.65041
Lorenz, D. A.
2008
Inverse nodal problems for Sturm-Liouville operators on star-type graphs. Zbl 1168.34306
Yurko, V.
2008
Regularization of linear inverse problems with total generalized variation. Zbl 1302.65167
Bredies, Kristian; Holler, Martin
2014
How to draw a picture of an unknown inclusion from boundary measurements. Two mathematical inversion algorithms. Zbl 0928.35207
Ikehata, M.
1999
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.
2004
Reconstruction of the support function for inclusion from boundary measurements. Zbl 0972.35185
Ikehata, M.
2000
An inverse nodal problem for integro-differential operators. Zbl 1279.34090
Kuryshova, Yulia V.; Shieh, Chung-Tsun
2010
A sensitivity matrix based methodology for inverse problem formulation. Zbl 1179.34008
Cintrón-Arias, A.; Banks, H. T.; Capaldi, A.; Lloyd, A. L.
2009
Approximate and analytical inversion formulas in heat conduction on multidimensional spaces. Zbl 1095.35072
Matsuura, T.; Saitoh, S.; Trong, D. D.
2005
Numerical solution of the multidimensional Gelfand-Levitan equation. Zbl 1326.65124
Kabanikhin, Sergey I.; Sabelfeld, Karl K.; Novikov, Nikita S.; Shishlenin, Maxim A.
2015
Recovering the conductivity at the boundary from the Dirichlet to Neumann map: A pointwise result. Zbl 0991.35104
Brown, R. M.
2001
Regularization by projection for a backward problem of the time-fractional diffusion equation. Zbl 1282.65114
Ren, Caixuan; Xu, Xiang; Lu, Shuai
2014
Fréchet differentiability of the solution to the acoustic Neumann scattering problem with respect to the domain. Zbl 0858.35139
Potthast, Roland
1996
Inverse problems of memory reconstruction. Zbl 0818.45008
Bukhgeim, A. L.
1993
On uniqueness of determination of a form of first degree by its integrals along geodesics. Zbl 0908.35136
Anikonov, Yu. E.; Romanov, V. G.
1997
Inverse spectral problems for differential operators on arbitrary compact graphs. Zbl 1279.34029
Yurko, Vjacheslav Anatoljevich
2010
Inverse problems on graphs: recovering the tree of strings by the BC-method. Zbl 1099.35165
Belishev, M. I.; Vakulenko, A. F.
2006
Optimizational method for solving the Cauchy problem for an elliptic equation. Zbl 0833.65107
Kabanikhin, S. I.; Karchevsky, A. L.
1995
Numerical methods for solving inverse problems for time fractional diffusion equation with variable coefficient. Zbl 1205.26009
Bondarenko, A. N.; Ivaschenko, D. S.
2009
An inverse problem in corrosion detection: stability estimates. Zbl 1081.78006
Choulli, M.
2004
Dynamical variant of the BC-method: Theory and numerical testing. Zbl 0927.35129
Belishev, M. I.; Gotlib, V. Yu.
1999
Convexification of restricted Dirichlet-to-Neumann map. Zbl 1386.35478
Klibanov, Michael V.
2017
Singular value decomposition for the 2D fan-beam Radon transform of tensor fields. Zbl 1058.65143
Kazantsev, S. G.; Bukhgeim, A. A.
2004
Sensitivity functions and their uses in inverse problems. Zbl 1141.34049
Banks, H. T.; Dediu, S.; Ernstberger, S. L.
2007
General theory of the ill-posed Cauchy problem. Zbl 0835.35148
Melnikova, I. V.
1995
Wavelet-Galerkin methods for ill-posed problems. Zbl 0867.65026
Dicken, V.; Maass, P.
1996
Standard errors and confidence intervals in inverse problems: sensitivity and associated pitfalls. Zbl 1124.34002
Banks, H. T.; Ernstberger, S. L.; Grove, S. L.
2007
On fractional Tikhonov regularization. Zbl 1327.65075
Gerth, Daniel; Klann, Esther; Ramlau, Ronny; Reichel, Lothar
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.
2015
Stability and convergence of the wavelet-Galerkin method for the sideways heat equation. Zbl 0947.35176
Regińska, T.; Eldén, L.
2000
On iterative methods for solving ill-posed problems modeled by partial differential equations. Zbl 0980.35166
Baumeister, J.; Leitão, A.
2001
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
2010
A new approximate mathematical model for global convergence for a coefficient inverse problem with backscattering data. Zbl 1279.35094
Beilina, Larisa; Klibanov, Michael V.
2012
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.
2008
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.
2015
Some stability estimates in determining sources and coefficients. Zbl 1110.35100
Choulli, M.; Yamamoto, M.
2006
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.
2015
An inverse problem for linear Sobolev type equations. Zbl 1081.35138
Fedorov, V. E.; Urazaeva, A. V.
2004
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.
2004
Inverse problems for second-order differential pencils with Dirichlet boundary conditions. Zbl 1279.34021
Buterin, Sergey A.; Yurko, Vjacheslav A.
2012
Analytic extensions and Cauchy-type inverse problems on annular domains: stability results. Zbl 1111.35121
Leblond, J.; Mahjoub, M.; Partington, J. R.
2006
Iterative methods for an inverse heat conduction problem. Zbl 0989.35138
Bastay, G.; Kozlov, V. A.; Turesson, B. O.
2001
Generalized sensitivities and optimal experimental design. Zbl 1279.62089
Banks, H. T.; Dediu, Sava; Ernstberger, Stacey L.; Kappel, Franz
2010
Convergence analysis of an inexact iteratively regularized Gauss-Newton method under general source conditions. Zbl 1129.65043
Langer, S.; Hohage, T.
2007
The BC-method in the inverse problem for the heat equation. Zbl 0886.35166
Avdonin, S. A.; Belishev, M. I.; Rozhkov, Yu. S.
1997
A hybrid method for inverse boundary value problems in potential theory. Zbl 1076.31003
Chapko, R.; Kress, R.
2005
On convergence of regularized modified Newton’s method for nonlinear ill-posed problems. Zbl 1279.65069
George, Santhosh
2010
A global stability estimate for the Gel’fand-Calderón inverse problem in two dimensions. Zbl 1279.35120
Novikov, Roman; Santacesaria, Matteo
2010
Reconstruction of inclusion from boundary measurements. Zbl 0994.35120
Ikehata, M.
2002
On approximation of inverse problems for abstract elliptic problems. Zbl 1195.65159
Orlovsky, D.; Piskarev, S.
2009
Sobolev error estimates and a priori parameter selection for semi-discrete Tikhonov regularization. Zbl 1183.41028
Krebs, J.; Louis, A. K.; Wendland, Holger
2009
A note on logarithmic convergence rates for nonlinear Tikhonov regularization. Zbl 1154.65042
Kaltenbacher, B.
2008
Use of extrapolation in regularization methods. Zbl 1127.65029
Hämarik, U.; Palm, R.; Raus, T.
2007
Partial inverse problems for the Sturm-Liouville operator on a star-shaped graph with mixed boundary conditions. Zbl 1407.34043
Bondarenko, Natalia Pavlovna
2018
Stability analysis for determining a source term in a 1-D advection-dispersion equation. Zbl 1111.35122
Li, Gongsheng; Yamamoto, M.
2006
Generic well-posedness of a linear inverse parabolic problem with diffusion parameters. Zbl 0928.35203
Choulli, M.; Yamamoto, M.
1999
Open issues of stability for the inverse conductivity problem. Zbl 1221.35443
Alessandrini, G.
2007
Modulus of continuity for conditionally stable ill-posed problems in Hilbert space. Zbl 1156.47013
Hofmann, B.; Mathé, P.; Schieck, M.
2008
Fréchet differentiability of the far field operator for scattering from a crack. Zbl 0846.35146
Kress, Rainer
1995
Monotonicity based imaging methods for elliptic and parabolic inverse problems. Zbl 1111.35127
Tamburrino, A.
2006
Bayesian posterior contraction rates for linear severely ill-posed inverse problems. Zbl 1288.62036
Agapiou, Sergios; Stuart, Andrew M.; Zhang, Yuan-Xiang
2014
Parameter identification for Laplace equation and approximation in Hardy classes. Zbl 1028.35163
Chaabane, S.; Jaoua, M.; Leblond, J.
2003
Control operators and iterative algorithms in variational data assimilation problems. Zbl 1031.93066
Shutyaev, V.
2001
Generic well-posedness in a multidimensional hyperbolic inverse problem. Zbl 0867.35115
Puel, J.-P.; Yamamoto, M.
1997
Inverse problems for the ground penetrating radar. Zbl 1278.65145
Kabanikhin, S. I.; Nurseitov, D. B.; Shishlenin, M. A.; Sholpanbaev, B. B.
2013
On the inversion formulas of Pestov and Uhlmann for the geodesic ray transform. Zbl 1279.44002
Krishnan, Venkateswaran P.
2010
Uniqueness theorems from partial information of the potential on a graph. Zbl 1279.34028
Yang, Chuan-Fu; Yang, Xiao-Ping
2011
Satisfier function in Ritz-Galerkin method for the identification of a time-dependent diffusivity. Zbl 1279.35059
Yousefi, S. A.; Lesnic, Daniel; Barikbin, Zahra
2012
Inverse problem for the Schrödinger operator in an unbounded strip. Zbl 1157.35119
Cardoulis, L.; Cristofol, M.; Gaitan, P.
2008
Identification of a non-convex obstacle for acoustical scattering. Zbl 1126.35103
Nakamura, G.; Yoshida, K.
2007
An inverse problem for strongly degenerate heat equation. Zbl 1135.35096
Ivanchov, M.; Saldina, N.
2006
Use of difference-based methods to explore statistical and mathematical model discrepancy in inverse problems. Zbl 06632630
Banks, H. Thomas; Catenacci, Jared; Hu, Shuhua
2016
On Nesterov acceleration for Landweber iteration of linear ill-posed problems. Zbl 1367.47017
Neubauer, Andreas
2017
On the quasioptimal regularization parameter choices for solving ill-posed problems. Zbl 1136.65053
Raus, T.; Hämarik, U.
2007
On maximum entropy regularization for a specific inverse problem of option pricing. Zbl 1086.91029
Hofmann, B.; Krämer, R.
2005
Synthesis of global convergence and adaptivity for a hyperbolic coefficient inverse problem in 3D. Zbl 1279.65116
Beilina, Larisa; Klibanov, Michael V.
2010
Extra-optimal methods for solving ill-posed problems. Zbl 1280.47015
Leonov, Alexander S.
2012
Impact of conditional stability: convergence rates for general linear regularization methods. Zbl 1143.47061
Kabanikhin, S. I.; Schieck, M.
2008
On approximation of inverse problem for abstract parabolic differential equations in Banach spaces. Zbl 1188.65074
Prilepko, A.; Piskarev, S.; Shaw, S.-Y.
2007
Determining the potential in the Schrödinger equation from the Dirichlet to Neumann map by the boundary control method. Zbl 1095.35061
Avdonin, S.; Lenhart, S.; Protopopescu, V.
2005
Sequential subspace optimization for nonlinear inverse problems. Zbl 1355.65147
Wald, Anne; Schuster, Thomas
2017
Numerical solution of an ill-posed Cauchy problem for a quasilinear parabolic equation using a Carleman weight function. Zbl 1351.35263
Klibanov, Michael V.; Koshev, Nikolaj A.; Li, Jingzhi; Yagola, Anatoly G.
2016
Towards a $$d$$-bar reconstruction method for three-dimensional EIT. Zbl 1111.35108
Cornean, H.; Knudsen, K.; Siltanen, S.
2006
Inverse source problem for a transmission problem for a parabolic equation. Zbl 1099.35166
Bellassoued, M.; Yamamoto, M.
2006
Iterative methods for solving a nonlinear boundary inverse problem in glaciology. Zbl 1173.35718
Avdonin, S.; Kozlov, V.; Maxwell, D.; Truffer, M.
2009
Two-step regularization methods for linear inverse problems. Zbl 1107.65045
Klann, E.; Maaß, P.; Ramlau, R.
2006
Irregular nonlinear operator equations: Tikhonov’s regularization and iterative approximation. Zbl 1276.65031
2013
The Levenberg-Marquardt iteration for numerical inversion of the power density operator. Zbl 1273.35307
Bal, Guillaume; Naetar, Wolf; Scherzer, Otmar; Schotland, John
2013
On the determination of the principal coefficient from boundary measurements in a KdV equation. Zbl 1304.35761
Baudouin, Lucie; Cerpa, Eduardo; Crépeau, Emmanuelle; Mercado, Alberto
2014
On variational regularization: finite dimension and Hölder stability. Zbl 1466.65039
Mittal, Gaurav; Giri, Ankik Kumar
2021
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
2020
Modified Radon transform inversion using moments. Zbl 1451.44002
Choi, Hayoung; Ginting, Victor; Jafari, Farhad; Mnatsakanov, Robert
2020
Inverse source problem for a distributed-order time fractional diffusion equation. Zbl 07173390
Cheng, Xiaoliang; Yuan, Lele; Liang, Kewei
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
2020
Inverse problem for elastic body with thin elastic inclusion. Zbl 1436.35189
Khludnev, Alexander M.
2020
Direct and inverse source problems for degenerate parabolic equations. Zbl 07207828
Hussein, M. S.; Lesnic, Daniel; Kamynin, Vitaly L.; Kostin, Andrey B.
2020
Uniqueness for the inverse fixed angle scattering problem. Zbl 1446.35088
Barceló, Juan Antonio; Castro, Carlos; Luque, Teresa; Meroño, Cristobal J.; Ruiz, Alberto; de la Cruz Vilela, María
2020
The problem of determining the one-dimensional kernel of viscoelasticity equation with a source of explosive type. Zbl 1437.35465
Durdiev, Durdimurod Kalandarovich; Totieva, Zhanna Dmitrievna
2020
Inverse problems for a class of linear Sobolev type equations with overdetermination on the kernel of operator at the derivative. Zbl 1431.35240
Fedorov, Vladimir Evgenyevich; Ivanova, Natalia Dmitrievna
2020
Isospectral sets for transmission eigenvalue problem. Zbl 1437.34027
Yang, Chuan-Fu; Buterin, Sergey A.
2020
Stability estimate for an inverse problem of the convection-diffusion equation. Zbl 1431.35238
2020
Optimal convergence rates for inexact Newton regularization with CG as inner iteration. Zbl 07173400
Neubauer, Andreas
2020
Recovering differential operators with two constant delays under Dirichlet/Neumann boundary conditions. Zbl 1443.34081
2020
Determination of the impulsive Sturm-Liouville operator from a set of eigenvalues. Zbl 1445.34046
Zhang, Ran; Xu, Xiao-Chuan; Yang, Chuan-Fu; Bondarenko, Natalia Pavlovna
2020
Identifying space-time dependent force on the vibrating Euler-Bernoulli beam by a boundary functional method. Zbl 1435.74031
Liu, Chein-Shan; Li, Botong
2020
Partial inverse problems for quadratic differential pencils on a graph with a loop. Zbl 1445.34043
Bondarenko, Natalia P.; Shieh, Chung-Tsun
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.
2020
Inverse problem of determining an order of the Caputo time-fractional derivative for a subdiffusion equation. Zbl 1461.35207
Alimov, Shavkat; Ashurov, Ravshan
2020
Regularization of backward time-fractional parabolic equations by Sobolev-type equations. Zbl 1461.35228
Hào, Dinh Nho; Van Duc, Nguyen; Van Thang, Nguyen; Trung Thành, Nguyen
2020
The factorization and monotonicity method for the defect in an open periodic waveguide. Zbl 1461.35227
Furuya, Takashi
2020
Stability in $$L^q$$-norm for inverse source parabolic problems. Zbl 1461.35239
Melnig, Elena-Alexandra
2020
Sampling in thermoacoustic tomography. Zbl 1460.35405
Mathison, Chase
2020
On solenoidal-injective and injective ray transforms of tensor fields on surfaces. Zbl 1418.35381
Krishnan, Venkateswaran P.; Mishra, Rohit K.; Monard, François
2019
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.
2019
On an inverse spectral problem for one integro-differential operator of fractional order. Zbl 1411.45005
Ignatiev, Mikhail
2019
An inverse problem for the integro-differential Dirac system with partial information given on the convolution kernel. Zbl 07068265
Bondarenko, Natalia Pavlovna
2019
A quasi-boundary regularization method for identifying the initial value of time-fractional diffusion equation on spherically symmetric domain. Zbl 1425.35230
Yang, Fan; Wang, Ni; Li, Xiao-Xiao; Huang, Can-Yun
2019
On a method for solving the inverse Sturm-Liouville problem. Zbl 1434.34026
2019
On recovering a Sturm-Liouville-type operator with the frozen argument rationally proportioned to the interval length. Zbl 1422.34214
Buterin, Sergey A.; Vasiliev, Sergey V.
2019
Inverse nodal problems for integro-differential operators with a constant delay. Zbl 1421.34049
Sat, Murat; Shieh, Chung Tsun
2019
Inverse source problems for positive operators. I. Hypoelliptic diffusion and subdiffusion equations. Zbl 1430.35272
Ruzhansky, Michael; Tokmagambetov, Niyaz; Torebek, Berikbol T.
2019
Inverse space-dependent source problem for a time-fractional diffusion equation by an adjoint problem approach. Zbl 07052535
Yan, Xiong Bin; Wei, Ting
2019
Penalty-based smoothness conditions in convex variational regularization. Zbl 07068274
Hofmann, Bernd; Kindermann, Stefan; Mathé, Peter
2019
Solvability of interior transmission problem for the diffusion equation by constructing its Green function. Zbl 1425.35236
Nakamura, Gen; Wang, Haibing
2019
On a non-stationary, non-Newtonian lubrication problem with Tresca fluid-solid law. Zbl 1425.35145
Benterki, Djamila; Benseridi, Hamid; Dilmi, Mourad
2019
Prescribing a heat flux coming from a wave equation. Zbl 1425.35233
Ikehata, Masaru
2019
A coupled complex boundary expanding compacts method for inverse source problems. Zbl 1411.35287
Zhang, Ye; Gong, Rongfang; Gulliksson, Mårten; Cheng, Xiaoliang
2019
The enclosure method for inverse obstacle scattering over a finite time interval. V. Using time-reversal invariance. Zbl 1411.35282
Ikehata, Masaru
2019
Convergence of Levenberg-Marquardt method for the inverse problem with an interior measurement. Zbl 1416.65418
Jiang, Yu; Nakamura, Gen
2019
Cauchy difference priors for edge-preserving Bayesian inversion. Zbl 1417.49049
Markkanen, Markku; Roininen, Lassi; Huttunen, Janne M. J.; Lasanen, Sari
2019
The regularized weak functional matching pursuit for linear inverse problems. Zbl 07089148
Kontak, Max; Michel, Volker
2019
Tikhonov regularization with $$\mathcal{l}^{0}$$-term complementing a convex penalty: $$\mathcal{l}^{1}$$-convergence under sparsity constraints. Zbl 07089169
Wang, Wei; Lu, Shuai; Hofmann, Bernd; Cheng, Jin
2019
Stepwise regularization method for a nonlinear Riesz-Feller space-fractional backward diffusion problem. Zbl 1431.65157
Trong, Dang Duc; Hai, Dinh Nguyen Duy; Minh, Nguyen Dang
2019
Quasi solution of a backward space fractional diffusion equation. Zbl 1434.65232
Salehi Shayegan, Amir Hossein; Zakeri, Ali
2019
Optimization method in material bodies cloaking with respect to static physical fields. Zbl 1437.35227
Alekseev, Gennady V.; Tereshko, Dmitry A.
2019
Identification of an unknown shear force in a cantilever Euler-Bernoulli beam from measured boundary bending moment. Zbl 1430.74148
Hasanov, Alemdar; Baysal, Onur; Itou, Hiromichi
2019
Identification of an unknown spatial load distribution in a vibrating beam or plate from the final state. Zbl 1425.74269
Van Bockstal, Karel
2019
Reconstruction of a crack with the incident waves and measurements inside a penetrable cavity. Zbl 1427.35356
Guo, Jun; Yang, Qing; Cai, Mingjian; Yan, Guozheng; Guo, Zhongkai
2019
On the asymptotic study of transmission problem in a thin domain. Zbl 1411.35288
Benseghir, Aissa; Benseridi, Hamid; Dilmi, Mourad
2019
Contrast enhanced tomographic reconstruction of vascular blood flow with first order and second order adjoint methods. Zbl 1415.92110
Sixou, Bruno
2019
Semi-heuristic parameter choice rules for Tikhonov regularisation with operator perturbations. Zbl 07052543
Hämarik, Uno; Kangro, Urve; Kindermann, Stefan; Raik, Kemal
2019
Magnetoencephalography inverse problem in the spheroid geometry. Zbl 1450.65142
Karpov, Petr I.; Zakharova, Tatyana
2019
On an inverse problem in photoacoustics. Zbl 1412.35204
Belishev, Mikhail I.; Langemann, Dirk; Mikhaylov, Alexander S.; Mikhaylov, Victor S.
2019
Source identification problems for hyperbolic differential and difference equations. Zbl 1429.65117
Ashyralyev, Allaberen; Emharab, Fathi
2019
Non-recombining trinomial tree pricing model and calibration for the volatility smile. Zbl 07089150
Gong, Wenxiu; Xu, Zuoliang
2019
Using Landweber iteration to quantify source conditions - a numerical study. Zbl 07089151
Gerth, Daniel
2019
Unique continuation for a reaction-diffusion system with cross diffusion. Zbl 1416.35057
Wu, Bin; Gao, Ying; Wang, Zewen; Chen, Qun
2019
Identification of point sources in an elliptic equation from interior measurements: application to a seawater intrusion problem. Zbl 1418.35379
2019
On the travel time tomography problem in 3D. Zbl 1418.35375
Klibanov, Michael V.
2019
Partial inverse problems for the Sturm-Liouville operator on a star-shaped graph with mixed boundary conditions. Zbl 1407.34043
Bondarenko, Natalia Pavlovna
2018
On ill-posedness concepts, stable solvability and saturation. Zbl 06864435
Hofmann, Bernd; Plato, Robert
2018
Phaseless inverse problems with interference waves. Zbl 1401.35350
2018
Injectivity and $$\text{weak}^\star$$-to-weak continuity suffice for convergence rates in $$\ell^{1}$$-regularization. Zbl 1382.65159
Flemming, Jens; Gerth, Daniel
2018
Existence of variational source conditions for nonlinear inverse problems in Banach spaces. Zbl 06864434
Flemming, Jens
2018
Imaging of buried objects from multi-frequency experimental data using a globally convergent inversion method. Zbl 1393.35288
Nguyen, Dinh-Liem; Klibanov, Michael V.; Nguyen, Loc H.; Fiddy, Michael A.
2018
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
2018
Tensor based approach to the numerical treatment of the parameter estimation problems in mathematical immunology. Zbl 1383.92047
Zheltkova, Valeriya V.; Zheltkov, Dmitry A.; Grossman, Zvi; Bocharov, Gennady A.; Tyrtyshnikov, Eugene E.
2018
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.
2018
A combined numerical algorithm for reconstructing the mathematical model for tuberculosis transmission with control programs. Zbl 1383.92080
Kabanikhin, Sergey; Krivorotko, Olga; Kashtanova, Victoriya
2018
Ambarzumyan-type theorems on a time scale. Zbl 1454.34047
Ozkan, Ahmet Sinan
2018
A converse result for Banach space convergence rates in Tikhonov-type convex regularization of ill-posed linear equations. Zbl 06969202
Flemming, Jens
2018
Simultaneous determination of the magnetic field and the electric potential in the Schrödinger equation by a finite number of boundary observations. Zbl 06864429
Ben Aïcha, Ibtissem; Mejri, Youssef
2018
Fréchet differentiability in Besov spaces in the optimal control of parabolic free boundary problems. Zbl 1390.35409
Abdulla, Ugur G.; Goldfarb, Jonathan M.
2018
Optimization analysis of the inverse coefficient problem for the nonlinear convection-diffusion-reaction equation. Zbl 07000332
Brizitskii, Roman V.; Saritskaya, Zhanna Y.
2018
On finding a cavity in a thermoelastic body using a single displacement measurement over a finite time interval on the surface of the body. Zbl 1388.74056
Ikehata, Masaru
2018
Lipschitz stability estimates in inverse source problems for a fractional diffusion equation of half order in time by Carleman estimates. Zbl 1401.35345
Kawamoto, Atsushi
2018
Quasi-solution of linear inverse problems in non-reflexive Banach spaces. Zbl 06969206
Clason, Christian; Klassen, Andrej
2018
A linear algorithm for the identification of a weakly singular relaxation kernel using two boundary measurements. Zbl 1390.45007
Avdonin, Sergei; Pandolfi, Luciano
2018
On dynamical reconstruction of an input in a linear system under measuring a part of coordinates. Zbl 1391.49071
Maksimov, Vyacheslav I.
2018
An inverse problem for the KdV equation with Neumann boundary measured data. Zbl 1383.35191
Kumarasamy, Sakthivel; Hasanov, Alemdar
2018
A parameter choice strategy for a multilevel augmentation method in iterated Lavrentiev regularization. Zbl 06864426
Zeng, Chunmei; Luo, Xingjun; Yang, Suhua; Li, Fanchun
2018
A non-smooth and non-convex regularization method for limited-angle CT image reconstruction. Zbl 1404.94011
Zhang, Lingli; Zeng, Li; Wang, Chengxiang; Guo, Yumeng
2018
A finite difference method for the very weak solution to a Cauchy problem for an elliptic equation. Zbl 1407.65268
Hào, Dinh Nho; Thu Giang, Le Thi; Kabanikhin, Sergey; Shishlenin, Maxim
2018
A numerical algorithm for constructing an individual mathematical model of HIV dynamics at cellular level. Zbl 1404.92170
Banks, H. Thomas; Kabanikhin, Sergey I.; Krivorotko, Olga I.; Yermolenko, Darya V.
2018
Information content in data sets: a review of methods for interrogation and model comparison. Zbl 1391.34036
Banks, H. Thomas; Joyner, Michele L.
2018
Corrigendum: An inverse problem in corrosion detection: stability estimates. Zbl 1388.78006
2018
An adaptive multigrid conjugate gradient method for the inversion of a nonlinear convection-diffusion equation. Zbl 1398.35255
Liu, Tao
2018
A modified coupled complex boundary method for an inverse chromatography problem. Zbl 1408.65067
Cheng, Xiaoliang; Lin, Guangliang; Zhang, Ye; Gong, Rongfang; Gulliksson, Mårten
2018
Sparse signal recovery with prior information by iterative reweighted least squares algorithm. Zbl 1388.49027
Feng, Nianci; Wang, Jianjun; Wang, Wendong
2018
Towards dynamic PET reconstruction under flow conditions: parameter identification in a PDE model. Zbl 1388.35102
Reips, Louise; Burger, Martin; Engbers, Ralf
2018
Full waveform inversion with sparse structure constrained regularization. Zbl 06864432
Yan, Zichao; Wang, Yanfei
2018
An adaptive iteration reconstruction method for limited-angle CT image reconstruction. Zbl 1404.94009
Wang, Chengxiang; Zeng, Li; Zhang, Lingli; Guo, Yumeng; Yu, Wei
2018
Error estimates for the simplified iteratively regularized Gauss-Newton method in Banach spaces under a Morozov-type stopping rule. Zbl 06882393
2018
Lipschitz continuity of the Fréchet gradient in an inverse coefficient problem for a parabolic equation with Dirichlet measured output. Zbl 1391.35418
Hasanov, Alemdar
2018
Source conditions and accuracy estimates in Tikhonov’s scheme of solving ill-posed nonconvex optimization problems. Zbl 1398.65115
Kokurin, Mikhail Y.
2018
Solution of the inverse elastography problem for parametric classes of inclusions with a posteriori error estimate. Zbl 1397.65237
Leonov, Alexander S.; Sharov, Alexander N.; Yagola, Anatoly G.
2018
On TSVD regularization for a Broyden-type algorithm. Zbl 06914529
Smirnova, Alexandra
2018
Convexification of restricted Dirichlet-to-Neumann map. Zbl 1386.35478
Klibanov, Michael V.
2017
On Nesterov acceleration for Landweber iteration of linear ill-posed problems. Zbl 1367.47017
Neubauer, Andreas
2017
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Cited by 2,960 Authors

 55 Klibanov, Michael V. 52 Yamamoto, Masahiro 49 Yang, Chuanfu 47 Banks, Harvey Thomas 46 Fu, Chuli 40 Uhlmann, Gunther Alberto 39 Hofmann, Bernd 33 Nguyen Huy Tuan 31 Xiong, Xiangtuan 28 Lesnic, Daniel 26 Bondarenko, Natalia P. 24 Yurko, Vjacheslav Anatoljevich 23 Denisov, Alexander Mikhailovich 23 Kabanikhin, Sergeĭ Igorevich 22 George, Santhosh 21 Yang, Fan 19 Hasanoǧlu, Alemdar 19 Salo, Mikko 18 Maksimov, Vyacheslav Ivanovich 18 Nakamura, Gen 18 Nguyen, Loc Hoang 17 Buterin, Sergey Alexandrovich 17 Đinh Nho Hào 17 Lassas, Matti 17 Romanov, Vladimir Gavrilovich 16 Bellassoued, Mourad 16 Cheng, Jin 16 Hu, Guanghui 16 Kaltenbacher, Barbara 16 Kokurin, Mikhail Yur’evich 16 Lorenzi, Alfredo 15 Avdonin, Sergeĭ Anatol’evich 15 Harrach, Bastian 15 Li, Xiaoxiao 15 Liu, Chein-Shan 15 Novikov, Roman G. 15 Ramm, Alexander G. 14 Beilina, Larisa 14 Imanuvilov, Oleg Yu. 14 Janno, Jaan 14 Mathé, Peter 14 Wei, Ting 13 Chebotarev, Alexander Yurievich 13 Han, Bo 13 Ikehata, Masaru 13 Kamynin, Vitaly L. 13 Kian, Yavar 13 Liu, Jijun 13 Lu, Shuai 13 Mikhaylov, Victor S. 13 Shishlenin, Maxim Aleksandrovich 13 Tzou, Leo 13 Xu, Xiaochuan 13 Yan, Guozheng 12 Belishev, Mikhail Igorevitch 12 Bredies, Kristian 12 Choulli, Mourad 12 Kress, Rainer 12 Oksanen, Lauri 12 Soltani, Fethi 12 Stefanov, Plamen D. 12 Tautenhahn, Ulrich 12 Wang, Yuping 12 Yagola, Anatoliĭ Grigor’evich 11 Aida-Zade, Kamil Rajab 11 Ashyralyev, Allaberen 11 Bakushinskĭ, Anatoliĭ Borisovich B. 11 Cheng, Wei 11 Fëdorov, Vladimir Evgen’evich 11 Guillarmou, Colin 11 Hämarik, Uno 11 Hon, Yiu-Chung 11 Kindermann, Stefan 11 Leonov, Aleksandr Sergeevich 11 Li, Jingzhi 11 Lin, Yi-Hsuan 11 Monard, François 11 Pyatkov, Sergeĭ Grigor’evich 11 Siltanen, Samuli 11 Wang, Yanfei 11 Zou, Jun 10 Ageev, Aleksandr Leonidovich 10 Anikonov, Yuriĭ Evgenievich 10 Antonova, Tat’yana Vladimirovna 10 Boumenir, Amin A. 10 de Hoop, Maarten V. 10 Durdiev, Durdimurod Kalandarovich 10 Johansson, B. Tomas 10 Li, Gongsheng 10 Marin, Liviu 10 Pereverzev, Sergei V. 10 Santacesaria, Matteo 10 Smirnova, Alexandra B. 10 Trong, Dang Duc 10 Vasin, Vladimir Vasil’evich 10 Wang, Jenn-Nan 10 Zhang, Ye 9 Burger, Martin 9 Dou, Fangfang 9 Garde, Henrik ...and 2,860 more Authors
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Cited in 374 Journals

 253 Journal of Inverse and Ill-Posed Problems 185 Inverse Problems 128 Inverse Problems in Science and Engineering 105 Applicable Analysis 82 Inverse Problems and Imaging 80 Journal of Mathematical Analysis and Applications 80 Journal of Computational and Applied Mathematics 57 Computers & Mathematics with Applications 54 Applied Mathematics and Computation 47 Journal of Mathematical Sciences (New York) 47 Differential Equations 39 Computational Mathematics and Mathematical Physics 36 Journal of Differential Equations 34 Mathematical Methods in the Applied Sciences 34 SIAM Journal on Mathematical Analysis 32 Applied Numerical Mathematics 31 Applied Mathematics Letters 30 Numerical Functional Analysis and Optimization 24 Journal of Computational Physics 24 Russian Mathematics 23 Siberian Mathematical Journal 23 SIAM Journal on Applied Mathematics 23 Engineering Analysis with Boundary Elements 22 Boundary Value Problems 21 Mathematical Notes 21 Journal of Integral Equations and Applications 21 SIAM Journal on Imaging Sciences 20 Mathematics and Computers in Simulation 20 Numerische Mathematik 20 Applied Mathematical Modelling 20 Abstract and Applied Analysis 20 Analysis and Mathematical Physics 18 Zeitschrift für Analysis und ihre Anwendungen 18 Journal de Mathématiques Pures et Appliquées. Neuvième Série 18 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 17 Journal of Mathematical Physics 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Numerical Algorithms 16 Proceedings of the Steklov Institute of Mathematics 14 Results in Mathematics 14 Computational Mathematics and Modeling 14 Comptes Rendus. Mathématique. Académie des Sciences, Paris 13 Journal of Functional Analysis 12 Bulletin of Mathematical Biology 12 Proceedings of the American Mathematical Society 12 Mathematical and Computer Modelling 12 Communications in Partial Differential Equations 12 Computational and Applied Mathematics 12 Mathematical Problems in Engineering 12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 12 Complex Variables and Elliptic Equations 11 SIAM Journal on Numerical Analysis 10 Computer Methods in Applied Mechanics and Engineering 10 Mathematical Biosciences 10 Transactions of the American Mathematical Society 10 Acta Mathematicae Applicatae Sinica. English Series 10 Fractional Calculus & Applied Analysis 10 GEM - International Journal on Geomathematics 10 Journal of Theoretical Biology 9 Ukrainian Mathematical Journal 9 Journal of Scientific Computing 9 International Journal of Computer Mathematics 9 Journal of Mathematical Imaging and Vision 9 Applied and Computational Harmonic Analysis 9 Advances in Computational Mathematics 9 Nonlinear Analysis. Real World Applications 9 Mathematical Biosciences and Engineering 9 Mathematical Control and Related Fields 9 Journal of Siberian Federal University. Mathematics & Physics 8 Integral Equations and Operator Theory 8 Journal of Approximation Theory 8 Quarterly of Applied Mathematics 8 Chinese Annals of Mathematics. Series B 8 Journal of Complexity 8 Automation and Remote Control 8 Doklady Mathematics 8 Journal of Inequalities and Applications 8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 8 Sibirskie Èlektronnye Matematicheskie Izvestiya 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Advances in Mathematical Physics 7 The Journal of Geometric Analysis 7 SIAM Journal on Scientific Computing 7 Communications in Nonlinear Science and Numerical Simulation 6 Communications in Mathematical Physics 6 International Journal of Heat and Mass Transfer 6 Mathematics of Computation 6 Computing 6 Russian Journal of Numerical Analysis and Mathematical Modelling 6 Integral Transforms and Special Functions 6 Computational Geosciences 6 Computational Methods in Applied Mathematics 6 Advances in Difference Equations 6 SIAM/ASA Journal on Uncertainty Quantification 5 Journal of Engineering Mathematics 5 Applied Mathematics and Optimization 5 Journal of Optimization Theory and Applications 5 Mathematische Annalen 5 SIAM Journal on Control and Optimization 5 Optimization ...and 274 more Journals
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Cited in 50 Fields

 1,552 Partial differential equations (35-XX) 1,217 Numerical analysis (65-XX) 413 Operator theory (47-XX) 279 Ordinary differential equations (34-XX) 214 Biology and other natural sciences (92-XX) 209 Calculus of variations and optimal control; optimization (49-XX) 203 Optics, electromagnetic theory (78-XX) 199 Integral equations (45-XX) 178 Mechanics of deformable solids (74-XX) 150 Systems theory; control (93-XX) 130 Fluid mechanics (76-XX) 107 Statistics (62-XX) 107 Classical thermodynamics, heat transfer (80-XX) 102 Integral transforms, operational calculus (44-XX) 90 Information and communication theory, circuits (94-XX) 66 Geophysics (86-XX) 65 Harmonic analysis on Euclidean spaces (42-XX) 63 Operations research, mathematical programming (90-XX) 61 Functional analysis (46-XX) 54 Probability theory and stochastic processes (60-XX) 52 Quantum theory (81-XX) 50 Global analysis, analysis on manifolds (58-XX) 49 Differential geometry (53-XX) 49 Computer science (68-XX) 45 Potential theory (31-XX) 39 Functions of a complex variable (30-XX) 37 Real functions (26-XX) 32 Approximations and expansions (41-XX) 27 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 21 Statistical mechanics, structure of matter (82-XX) 18 Dynamical systems and ergodic theory (37-XX) 17 Special functions (33-XX) 11 Combinatorics (05-XX) 8 Difference and functional equations (39-XX) 8 Mechanics of particles and systems (70-XX) 6 Astronomy and astrophysics (85-XX) 5 Abstract harmonic analysis (43-XX) 4 History and biography (01-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Convex and discrete geometry (52-XX) 2 Sequences, series, summability (40-XX) 2 Relativity and gravitational theory (83-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX)