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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: 1,305 Publications (since 1993)
References Indexed: 729 Publications with 14,483 References.
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Latest Issues

30, No. 4 (2022)
30, No. 3 (2022)
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...and 82 more Volumes
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Authors

55 Kabanikhin, Sergeĭ Igorevich
42 Lorenzi, Alfredo
41 Anikonov, Yuriĭ Evgenievich
33 Yamamoto, Masahiro
31 Romanov, Vladimir Gavrilovich
25 Banks, Harvey Thomas
23 Yagola, Anatoliĭ Grigor’evich
22 Ramm, Alexander G.
18 Klibanov, Michael V.
18 Vasin, Vladimir Vasil’evich
16 Bakushinskĭ, Anatoliĭ Borisovich B.
16 Shishlenin, Maxim Aleksandrovich
16 Yurko, Vjacheslav Anatoljevich
15 Smirnova, Alexandra B.
14 Đinh Nho Hào
14 Hasanoǧlu, Alemdar
14 Hofmann, Bernd
14 Ikehata, Masaru
14 Neubauer, Andreas
13 Denisov, Alexander Mikhailovich
12 Yang, Chuanfu
11 Belishev, Mikhail Igorevitch
11 Lesnic, Daniel
10 Cheng, Jin
10 Karchevsky, Andrey Leonidovich
10 Schuster, Thomas
10 Tanana, Vitaly Pavlovich
9 Bukhgeǐm, Alexandre L.
9 Derevtsov, Evgeny Yurievich
9 Janno, Jaan
9 Kindermann, Stefan
9 Kokurin, Mikhail Yur’evich
9 Leonov, Aleksandr Sergeevich
9 Maksimov, Vyacheslav Ivanovich
9 Nakamura, Gen
9 Scherzer, Otmar
8 Alekseev, Gennady V.
8 Flemming, Jens
8 He, Sailing
8 Nair, M. Thamban
8 Neshchadim, Mikhail Vladimirovich
8 Novikov, Roman G.
8 Triggiani, Roberto
8 Wang, Yanfei
7 Bondarenko, Natalia P.
7 Choulli, Mourad
7 Kaltenbacher, Barbara
7 Kress, Rainer
7 Krivorotko, Olga I.
7 Louis, Alfred Karl
7 Ramlau, Ronny
7 von Wolfersdorf, Lothar
6 Bardakov, Valeriĭ Georgievich
6 Blagovestchenskiĭ, Aleksandr Sergeevich
6 Engl, Heinz W.
6 George, Santhosh
6 Kazantsev, Sergeĭ Gavrilovich
6 Maass, Peter
6 Mathé, Peter
6 Messina, Francesca
6 Pandolfi, Luciano
6 Tautenhahn, Ulrich
6 Vessella, Sergio
5 Ageev, Aleksandr Leonidovich
5 Alessandrini, Giovanni
5 Anikonov, Dmitriĭ Sergeevich
5 Ayupova, Natalia Borisovna
5 Beilina, Larisa
5 Bugueva, T. V.
5 Cherednichenko, Victor G.
5 Duc, Nguyen Van
5 El Badia, 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 Nguyen Huy Tuan
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 Serovaĭskiĭ, Simon Ya.
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
...and 1,267 more Authors
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Fields

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

Publications by Year

Citations contained in zbMATH Open

854 Publications have been cited 4,828 times in 3,347 Documents Cited by Year
Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems. Zbl 1273.35005
Klibanov, Michael V.
96
2013
Definitions and examples of inverse and ill-posed problems. Zbl 1170.35100
Kabanikhin, S. I.
94
2008
Recovering a potential from Cauchy data in the two-dimensional case. Zbl 1142.30018
Bukhgeim, A. L.
94
2008
Nonstationary inverse problems and state estimation. Zbl 0927.35134
Kaipio, J.; Somersalo, E.
55
1999
On problems of determining the source function in a parabolic equation. Zbl 0828.35142
Savateev, E. G.
51
1995
Optimal stable approximations for the sideways heat equation. Zbl 0879.35158
Tautenhahn, U.
49
1997
Conditional stability in determining a heat source. Zbl 1081.35136
Choulli, M.; Yamamoto, M.
44
2004
On an inverse source problem for the heat equation. Application to a pollution detection problem. Zbl 1028.35164
El Badia, A.; Ha-Duong, T.
44
2002
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.
42
2006
Inverse nodal problems for Sturm-Liouville operators on star-type graphs. Zbl 1168.34306
Yurko, V.
35
2008
Inverse problem for interior spectral data of the Sturm-Liouville operator. Zbl 1035.34008
Mochizuki, K.; Trooshin, I.
35
2001
Convergence rates and source conditions for Tikhonov regularization with sparsity constraints. Zbl 1161.65041
Lorenz, D. A.
34
2008
Size estimation of inclusion. Zbl 0928.35206
Ikehata, M.
34
1998
Regularization of linear inverse problems with total generalized variation. Zbl 1302.65167
Bredies, Kristian; Holler, Martin
34
2014
An inverse nodal problem for integro-differential operators. Zbl 1279.34090
Kuryshova, Yulia V.; Shieh, Chung-Tsun
31
2010
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.
29
2004
A sensitivity matrix based methodology for inverse problem formulation. Zbl 1179.34008
Cintrón-Arias, A.; Banks, H. T.; Capaldi, A.; Lloyd, A. L.
29
2009
Reconstruction of the support function for inclusion from boundary measurements. Zbl 0972.35185
Ikehata, M.
26
2000
How to draw a picture of an unknown inclusion from boundary measurements. Two mathematical inversion algorithms. Zbl 0928.35207
Ikehata, M.
26
1999
Regularization by projection for a backward problem of the time-fractional diffusion equation. Zbl 1282.65114
Ren, Caixuan; Xu, Xiang; Lu, Shuai
25
2014
Approximate and analytical inversion formulas in heat conduction on multidimensional spaces. Zbl 1095.35072
Matsuura, T.; Saitoh, S.; Trong, D. D.
25
2005
Numerical solution of the multidimensional Gelfand-Levitan equation. Zbl 1326.65124
Kabanikhin, Sergey I.; Sabelfeld, Karl K.; Novikov, Nikita S.; Shishlenin, Maxim A.
24
2015
Recovering the conductivity at the boundary from the Dirichlet to Neumann map: A pointwise result. Zbl 0991.35104
Brown, R. M.
24
2001
On uniqueness of determination of a form of first degree by its integrals along geodesics. Zbl 0908.35136
Anikonov, Yu. E.; Romanov, V. G.
23
1997
Fréchet differentiability of the solution to the acoustic Neumann scattering problem with respect to the domain. Zbl 0858.35139
Potthast, Roland
22
1996
Convexification of restricted Dirichlet-to-Neumann map. Zbl 1386.35478
Klibanov, Michael V.
22
2017
Inverse problems of memory reconstruction. Zbl 0818.45008
Bukhgeim, A. L.
22
1993
Inverse problems on graphs: recovering the tree of strings by the BC-method. Zbl 1099.35165
Belishev, M. I.; Vakulenko, A. F.
22
2006
Optimizational method for solving the Cauchy problem for an elliptic equation. Zbl 0833.65107
Kabanikhin, S. I.; Karchevsky, A. L.
21
1995
An inverse problem in corrosion detection: stability estimates. Zbl 1081.78006
Choulli, M.
21
2004
On fractional Tikhonov regularization. Zbl 1327.65075
Gerth, Daniel; Klann, Esther; Ramlau, Ronny; Reichel, Lothar
21
2015
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
Inverse spectral problems for differential operators on arbitrary compact graphs. Zbl 1279.34029
Yurko, Vjacheslav Anatoljevich
21
2010
Dynamical variant of the BC-method: Theory and numerical testing. Zbl 0927.35129
Belishev, M. I.; Gotlib, V. Yu.
20
1999
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
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
20
2010
Wavelet-Galerkin methods for ill-posed problems. Zbl 0867.65026
Dicken, V.; Maass, P.
19
1996
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.
19
2004
Singular value decomposition for the 2D fan-beam Radon transform of tensor fields. Zbl 1058.65143
Kazantsev, S. G.; Bukhgeim, A. A.
19
2004
Some stability estimates in determining sources and coefficients. Zbl 1110.35100
Choulli, M.; Yamamoto, M.
19
2006
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
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.
18
2008
Sensitivity functions and their uses in inverse problems. Zbl 1141.34049
Banks, H. T.; Dediu, S.; Ernstberger, S. L.
18
2007
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
17
2020
Stability and convergence of the wavelet-Galerkin method for the sideways heat equation. Zbl 0947.35176
Regińska, T.; Eldén, L.
17
2000
On iterative methods for solving ill-posed problems modeled by partial differential equations. Zbl 0980.35166
Baumeister, J.; Leitão, A.
17
2001
General theory of the ill-posed Cauchy problem. Zbl 0835.35148
Melnikova, I. V.
17
1995
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.
17
2015
Inverse problems for second-order differential pencils with Dirichlet boundary conditions. Zbl 1279.34021
Buterin, Sergey A.; Yurko, Vjacheslav A.
17
2012
On approximation of inverse problems for abstract elliptic problems. Zbl 1195.65159
Orlovsky, D.; Piskarev, S.
16
2009
An inverse problem for linear Sobolev type equations. Zbl 1081.35138
Fedorov, V. E.; Urazaeva, A. V.
16
2004
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.
16
2015
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.
16
2015
Partial inverse problems for the Sturm-Liouville operator on a star-shaped graph with mixed boundary conditions. Zbl 1407.34043
Bondarenko, Natalia Pavlovna
16
2018
A new approximate mathematical model for global convergence for a coefficient inverse problem with backscattering data. Zbl 1279.35094
Beilina, Larisa; Klibanov, Michael V.
16
2012
Iterative methods for an inverse heat conduction problem. Zbl 0989.35138
Bastay, G.; Kozlov, V. A.; Turesson, B. O.
16
2001
Two-step regularization methods for linear inverse problems. Zbl 1107.65045
Klann, E.; Maaß, P.; Ramlau, R.
15
2006
Analytic extensions and Cauchy-type inverse problems on annular domains: stability results. Zbl 1111.35121
Leblond, J.; Mahjoub, M.; Partington, J. R.
15
2006
Generalized sensitivities and optimal experimental design. Zbl 1279.62089
Banks, H. T.; Dediu, Sava; Ernstberger, Stacey L.; Kappel, Franz
15
2010
Modulus of continuity for conditionally stable ill-posed problems in Hilbert space. Zbl 1156.47013
Hofmann, B.; Mathé, P.; Schieck, M.
14
2008
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
Sobolev error estimates and a priori parameter selection for semi-discrete Tikhonov regularization. Zbl 1183.41028
Krebs, J.; Louis, A. K.; Wendland, Holger
14
2009
Generic well-posedness of a linear inverse parabolic problem with diffusion parameters. Zbl 0928.35203
Choulli, M.; Yamamoto, M.
14
1999
Sequential subspace optimization for nonlinear inverse problems. Zbl 1355.65147
Wald, Anne; Schuster, Thomas
14
2017
Convergence analysis of an inexact iteratively regularized Gauss-Newton method under general source conditions. Zbl 1129.65043
Langer, S.; Hohage, T.
14
2007
A note on logarithmic convergence rates for nonlinear Tikhonov regularization. Zbl 1154.65042
Kaltenbacher, B.
14
2008
A global stability estimate for the Gel’fand-Calderón inverse problem in two dimensions. Zbl 1279.35120
Novikov, Roman; Santacesaria, Matteo
14
2010
Satisfier function in Ritz-Galerkin method for the identification of a time-dependent diffusivity. Zbl 1279.35059
Yousefi, S. A.; Lesnic, Daniel; Barikbin, Zahra
14
2012
Open issues of stability for the inverse conductivity problem. Zbl 1221.35443
Alessandrini, G.
14
2007
Reconstruction of inclusion from boundary measurements. Zbl 0994.35120
Ikehata, M.
14
2002
Fréchet differentiability of the far field operator for scattering from a crack. Zbl 0846.35146
Kress, Rainer
13
1995
A hybrid method for inverse boundary value problems in potential theory. Zbl 1076.31003
Chapko, R.; Kress, R.
13
2005
Use of extrapolation in regularization methods. Zbl 1127.65029
Hämarik, U.; Palm, R.; Raus, T.
13
2007
Monotonicity based imaging methods for elliptic and parabolic inverse problems. Zbl 1111.35127
Tamburrino, A.
13
2006
Stability analysis for determining a source term in a 1-D advection-dispersion equation. Zbl 1111.35122
Li, Gongsheng; Yamamoto, M.
13
2006
An inverse problem for strongly degenerate heat equation. Zbl 1135.35096
Ivanchov, M.; Saldina, N.
13
2006
On Nesterov acceleration for Landweber iteration of linear ill-posed problems. Zbl 1367.47017
Neubauer, Andreas
13
2017
On convergence of regularized modified Newton’s method for nonlinear ill-posed problems. Zbl 1279.65069
George, Santhosh
13
2010
On the inversion formulas of Pestov and Uhlmann for the geodesic ray transform. Zbl 1279.44002
Krishnan, Venkateswaran P.
13
2010
Bayesian posterior contraction rates for linear severely ill-posed inverse problems. Zbl 1288.62036
Agapiou, Sergios; Stuart, Andrew M.; Zhang, Yuan-Xiang
13
2014
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.
13
2019
Inverse source problems for positive operators. I. Hypoelliptic diffusion and subdiffusion equations. Zbl 1430.35272
Ruzhansky, Michael; Tokmagambetov, Niyaz; Torebek, Berikbol T.
12
2019
Control operators and iterative algorithms in variational data assimilation problems. Zbl 1031.93066
Shutyaev, V.
12
2001
Identification problems for parabolic delay differential equations with measurement on the boundary. Zbl 1132.35388
Di Blasio, G.; Lorenzi, A.
12
2007
Injectivity and \(\text{weak}^\star\)-to-weak continuity suffice for convergence rates in \(\ell^{1}\)-regularization. Zbl 1382.65159
Flemming, Jens; Gerth, Daniel
12
2018
Inverse problems for the ground penetrating radar. Zbl 1278.65145
Kabanikhin, S. I.; Nurseitov, D. B.; Shishlenin, M. A.; Sholpanbaev, B. B.
12
2013
Uniqueness theorems from partial information of the potential on a graph. Zbl 1279.34028
Yang, Chuan-Fu; Yang, Xiao-Ping
12
2011
Reconstruction of dynamic objects with affine deformations in computerized tomography. Zbl 1291.45015
Hahn, Bernadette
12
2014
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.
11
2018
Generic well-posedness in a multidimensional hyperbolic inverse problem. Zbl 0867.35115
Puel, J.-P.; Yamamoto, M.
11
1997
On maximum entropy regularization for a specific inverse problem of option pricing. Zbl 1086.91029
Hofmann, B.; Krämer, R.
11
2005
Inverse problem for a parabolic equation with integral overdetermination. Zbl 1056.35149
Prilepko, A. I.; Tkachenko, D. S.
11
2003
Parameter identification for Laplace equation and approximation in Hardy classes. Zbl 1028.35163
Chaabane, S.; Jaoua, M.; Leblond, J.
11
2003
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.
11
2016
Use of difference-based methods to explore statistical and mathematical model discrepancy in inverse problems. Zbl 1468.62260
Banks, H. Thomas; Catenacci, Jared; Hu, Shuhua
11
2016
Inverse source problems for time-fractional mixed parabolic-hyperbolic-type equations. Zbl 1322.35173
Feng, Pengbin; Karimov, Erkinjon T.
11
2015
An inexact Newton regularization in Banach spaces based on the nonstationary iterated Tikhonov method. Zbl 1321.65091
Margotti, Fábio; Rieder, Andreas
11
2015
Iterative methods for solving a nonlinear boundary inverse problem in glaciology. Zbl 1173.35718
Avdonin, S.; Kozlov, V.; Maxwell, D.; Truffer, M.
11
2009
On the quasioptimal regularization parameter choices for solving ill-posed problems. Zbl 1136.65053
Raus, T.; Hämarik, U.
11
2007
Towards a \(d\)-bar reconstruction method for three-dimensional EIT. Zbl 1111.35108
Cornean, H.; Knudsen, K.; Siltanen, S.
11
2006
On local and global structures of transmission eigenfunctions and beyond. Zbl 1486.35320
Liu, Hongyu
1
2022
Decentralized and parallel primal and dual accelerated methods for stochastic convex programming problems. Zbl 1472.90087
Dvinskikh, Darina; Gasnikov, Alexander
4
2021
On the EIT problem for nonorientable surfaces. Zbl 1469.35246
Belishev, M. I.; Korikov, D. V.
3
2021
An identification problem involving fractional differential variational inequalities. Zbl 1460.35392
Ke, Tran Dinh; Tuan, Tran Van
2
2021
On variational regularization: finite dimension and Hölder stability. Zbl 1466.65039
Mittal, Gaurav; Giri, Ankik Kumar
2
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
1
2021
Inverse problems for stochastic parabolic equations with additive noise. Zbl 07330230
Yuan, Ganghua
1
2021
A class of inverse problems for fractional order degenerate evolution equations. Zbl 1460.35372
Fedorov, Vladimir E.; Nagumanova, Anna V.; Kostić, Marko
1
2021
Machine learning based data retrieval for inverse scattering problems with incomplete data. Zbl 1460.35283
Gao, Yu; Zhang, Kai
1
2021
Convexity properties of the normalized Steklov zeta function of a planar domain. Zbl 1469.35161
Jollivet, Alexandre
1
2021
Stability estimates for reconstruction from the Fourier transform on the ball. Zbl 1468.42007
Isaev, Mikhail; Novikov, Roman G.
1
2021
Inverse extremum problem for a model of endovenous laser ablation. Zbl 1473.35564
Kovtanyuk, Andrey; Chebotarev, Alexander; Astrakhantseva, Alena
1
2021
Inverse spectral problem of an anharmonic oscillator on a half-axis with the Neumann boundary condition. Zbl 1483.34029
Khanmamedov, Agil K.; Gafarova, Nigar F.
1
2021
Alternating minimization methods for strongly convex optimization. Zbl 1478.90092
Tupitsa, Nazarii; Dvurechensky, Pavel; Gasnikov, Alexander; Guminov, Sergey
1
2021
Global stability result for parabolic Cauchy problems. Zbl 1481.35387
Choulli, Mourad; Yamamoto, Masahiro
1
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
17
2020
Inverse problem of determining an order of the Caputo time-fractional derivative for a subdiffusion equation. Zbl 1461.35207
Alimov, Shavkat; Ashurov, Ravshan
7
2020
Direct and inverse source problems for degenerate parabolic equations. Zbl 1475.35175
Hussein, M. S.; Lesnic, Daniel; Kamynin, Vitaly L.; Kostin, Andrey B.
5
2020
Inverse source problem for a distributed-order time fractional diffusion equation. Zbl 07173390
Cheng, Xiaoliang; Yuan, Lele; Liang, Kewei
4
2020
Modified Radon transform inversion using moments. Zbl 1451.44002
Choi, Hayoung; Ginting, Victor; Jafari, Farhad; Mnatsakanov, Robert
3
2020
Inverse problem of breaking line identification by shape optimization. Zbl 1431.35252
Ghilli, Daria; Kunisch, Karl; Kovtunenko, Victor A.
3
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
3
2020
Inverse problem for elastic body with thin elastic inclusion. Zbl 1436.35189
Khludnev, Alexander M.
3
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.
3
2020
Inverse problems for a conformable fractional Sturm-Liouville operator. Zbl 1465.34025
Adalar, İbrahim; Ozkan, Ahmet Sinan
3
2020
Sampling in thermoacoustic tomography. Zbl 1460.35405
Mathison, Chase
3
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
3
2020
A numerical method for an inverse source problem for parabolic equations and its application to a coefficient inverse problem. Zbl 1448.65139
Nguyen, Phuong Mai; Nguyen, Loc Hoang
3
2020
A stability result for the determination of order in time-fractional diffusion equations. Zbl 1448.35554
Li, Zhiyuan; Huang, Xinchi; Yamamoto, Masahiro
3
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
2
2020
Numerics of acoustical 2D tomography based on the conservation laws. Zbl 1433.65196
Kabanikhin, Sergey I.; Klyuchinskiy, Dmitriy V.; Novikov, Nikita S.; Shishlenin, Maxim A.
2
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
2
2020
Solving a 1-D inverse medium scattering problem using a new multi-frequency globally strictly convex objective functional. Zbl 1461.35245
Thành, Nguyen T.; Klibanov, Michael V.
2
2020
On the Hochstadt-Lieberman problem for the Dirac operator with discontinuity. Zbl 1469.34035
Yang, Chuan-Fu; Yurko, Vjacheslav; Zhang, Ran
2
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
2
2020
Partial inverse problems for quadratic differential pencils on a graph with a loop. Zbl 1445.34043
Bondarenko, Natalia P.; Shieh, Chung-Tsun
2
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
1
2020
Isospectral sets for transmission eigenvalue problem. Zbl 1437.34027
Yang, Chuan-Fu; Buterin, Sergey A.
1
2020
Stability estimate for an inverse problem of the convection-diffusion equation. Zbl 1431.35238
Bellassoued, Mourad; Rassas, Imen
1
2020
Joint inversion of compact operators. Zbl 1431.65055
Mead, Jodi L.; Ford, James F.
1
2020
The backward problem of parabolic equations with the measurements on a discrete set. Zbl 1431.65152
Cheng, Jin; Ke, Yufei; Wei, Ting
1
2020
Optimal convergence rates for inexact Newton regularization with CG as inner iteration. Zbl 07173400
Neubauer, Andreas
1
2020
Regularization of a sideways problem for a time-fractional diffusion equation with nonlinear source. Zbl 1436.35244
Ngoc, Tran Bao; Tuan, Nguyen Huy; Kirane, Mokhtar
1
2020
Recovering differential operators with two constant delays under Dirichlet/Neumann boundary conditions. Zbl 1443.34081
Vojvodic, Biljana M.; Vladicic, Vladimir M.
1
2020
A linear regularization method for a parameter identification problem in heat equation. Zbl 1473.35655
Mondal, Subhankar; Nair, M. Thamban
1
2020
Asymptotic solution of the inverse problem for restoring the modular type source in Burgers’ equation with modular advection. Zbl 1461.76356
Nefedov, Nikolay Nikolaevich; Volkov, V. T.
1
2020
Microwave thermometry with potential application in non-invasive monitoring of hyperthermia. Zbl 1466.65171
Ghaderi Aram, Morteza; Beilina, Larisa; Dobsicek Trefna, Hana
1
2020
The factorization and monotonicity method for the defect in an open periodic waveguide. Zbl 1461.35227
Furuya, Takashi
1
2020
Stability in \(L^q\)-norm for inverse source parabolic problems. Zbl 1461.35239
Melnig, Elena-Alexandra
1
2020
Global and local optimization in identification of parabolic systems. Zbl 1460.35394
Krivorotko, Olga; Kabanikhin, Sergey; Zhang, Shuhua; Kashtanova, Victoriya
1
2020
Correlation of errors in inverse problems of optical coatings monitoring. Zbl 1484.78007
Kochikov, Igor V.; Sharapova, Svetlana A.; Yagola, Anatoly G.; Tikhonravov, Alexander V.
1
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
1
2020
Inverse spectral problems for differential operators with non-separated boundary conditions. Zbl 07244000
Yurko, Vjacheslav A.
1
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
1
2020
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.
13
2019
Inverse source problems for positive operators. I. Hypoelliptic diffusion and subdiffusion equations. Zbl 1430.35272
Ruzhansky, Michael; Tokmagambetov, Niyaz; Torebek, Berikbol T.
12
2019
Inverse nodal problems for integro-differential operators with a constant delay. Zbl 1421.34049
Sat, Murat; Shieh, Chung Tsun
9
2019
On solenoidal-injective and injective ray transforms of tensor fields on surfaces. Zbl 1418.35381
Krishnan, Venkateswaran P.; Mishra, Rohit K.; Monard, François
9
2019
On an inverse spectral problem for one integro-differential operator of fractional order. Zbl 1411.45005
Ignatiev, Mikhail
8
2019
An inverse problem for the integro-differential Dirac system with partial information given on the convolution kernel. Zbl 1472.45007
Bondarenko, Natalia Pavlovna
8
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
8
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.
7
2019
Inverse space-dependent source problem for a time-fractional diffusion equation by an adjoint problem approach. Zbl 07052535
Yan, Xiong Bin; Wei, Ting
6
2019
Cauchy difference priors for edge-preserving Bayesian inversion. Zbl 1417.49049
Markkanen, Markku; Roininen, Lassi; Huttunen, Janne M. J.; Lasanen, Sari
5
2019
On a method for solving the inverse Sturm-Liouville problem. Zbl 1434.34026
Kravchenko, Vladislav V.
5
2019
Penalty-based smoothness conditions in convex variational regularization. Zbl 1483.65087
Hofmann, Bernd; Kindermann, Stefan; Mathé, Peter
4
2019
Source identification problems for hyperbolic differential and difference equations. Zbl 1429.65117
Ashyralyev, Allaberen; Emharab, Fathi
4
2019
Identification of an unknown spatial load distribution in a vibrating beam or plate from the final state. Zbl 1425.74269
Van Bockstal, Karel
4
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
3
2019
Convergence of Levenberg-Marquardt method for the inverse problem with an interior measurement. Zbl 1416.65418
Jiang, Yu; Nakamura, Gen
3
2019
Using Landweber iteration to quantify source conditions – a numerical study. Zbl 1480.65141
Gerth, Daniel
3
2019
Unique continuation for a reaction-diffusion system with cross diffusion. Zbl 1416.35057
Wu, Bin; Gao, Ying; Wang, Zewen; Chen, Qun
3
2019
Tikhonov regularization with \({\ell^{0}}\)-term complementing a convex penalty: \({\ell^{1}}\)-convergence under sparsity constraints. Zbl 1480.65139
Wang, Wei; Lu, Shuai; Hofmann, Bernd; Cheng, Jin
3
2019
On the travel time tomography problem in 3D. Zbl 1418.35375
Klibanov, Michael V.
3
2019
Solvability of interior transmission problem for the diffusion equation by constructing its Green function. Zbl 1425.35236
Nakamura, Gen; Wang, Haibing
3
2019
Inverse source problems for the Korteweg-de Vries-Burgers equation with mixed boundary conditions. Zbl 1430.35271
Montoya, Cristhian
2
2019
Optimization method in material bodies cloaking with respect to static physical fields. Zbl 1437.35227
Alekseev, Gennady V.; Tereshko, Dmitry A.
2
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
2
2019
On the asymptotic study of transmission problem in a thin domain. Zbl 1411.35288
Benseghir, Aissa; Benseridi, Hamid; Dilmi, Mourad
2
2019
A coupled complex boundary expanding compacts method for inverse source problems. Zbl 1411.35287
Zhang, Ye; Gong, Rongfang; Gulliksson, Mårten; Cheng, Xiaoliang
2
2019
Semi-heuristic parameter choice rules for Tikhonov regularisation with operator perturbations. Zbl 1490.65110
Hämarik, Uno; Kangro, Urve; Kindermann, Stefan; Raik, Kemal
2
2019
The enclosure method for inverse obstacle scattering over a finite time interval. V. Using time-reversal invariance. Zbl 1411.35282
Ikehata, Masaru
2
2019
The regularized weak functional matching pursuit for linear inverse problems. Zbl 1480.65143
Kontak, Max; Michel, Volker
2
2019
Non-recombining trinomial tree pricing model and calibration for the volatility smile. Zbl 1480.91314
Gong, Wenxiu; Xu, Zuoliang
2
2019
Invertibility and stability for a generic class of Radon transforms with application to dynamic operators. Zbl 1429.44001
Rabieniaharatbar, Siamak
2
2019
The Ivanov regularized Gauss-Newton method in Banach space with an a posteriori choice of the regularization radius. Zbl 1418.65055
Kaltenbacher, Barbara; Klassen, Andrej; Previatti De Souza, Mario Luiz
2
2019
Identification of point sources in an elliptic equation from interior measurements: application to a seawater intrusion problem. Zbl 1418.35379
El Badia, Abdellatif; El Hajj, Ahmad; Jazar, Mustapha; Moustafa, Hayat
2
2019
On a non-stationary, non-Newtonian lubrication problem with Tresca fluid-solid law. Zbl 1425.35145
Benterki, Djamila; Benseridi, Hamid; Dilmi, Mourad
2
2019
Prescribing a heat flux coming from a wave equation. Zbl 1425.35233
Ikehata, Masaru
2
2019
Quasi solution of a backward space fractional diffusion equation. Zbl 1434.65232
Salehi Shayegan, Amir Hossein; Zakeri, Ali
1
2019
On dynamical reconstruction of boundary and distributed inputs in a Schlögl equation. Zbl 1433.49054
Maksimov, Vyacheslav I.
1
2019
Contrast enhanced tomographic reconstruction of vascular blood flow with first order and second order adjoint methods. Zbl 1415.92110
Sixou, Bruno
1
2019
On an asymmetric backward heat problem with the space and time-dependent heat source on a disk. Zbl 1411.35132
Minh Le, Triet; Hoang Pham, Quan; Hong Luu, Phong
1
2019
Magnetoencephalography inverse problem in the spheroid geometry. Zbl 1450.65142
Karpov, Petr I.; Zakharova, Tatyana
1
2019
Inverse problem for one-dimensional wave equation with matrix potential. Zbl 1421.35398
Khanfer, Ammar; Bukhgeim, Alexander
1
2019
On an inverse problem in photoacoustics. Zbl 1412.35204
Belishev, Mikhail I.; Langemann, Dirk; Mikhaylov, Alexander S.; Mikhaylov, Victor S.
1
2019
Shape sensitivity analysis for identification of voids under Navier’s boundary conditions in linear elasticity. Zbl 1419.35250
Méjri, Bochra
1
2019
An inverse problem for Sturm-Liouville operators on the half-line with complex weights. Zbl 1423.34028
Yurko, Vjacheslav
1
2019
Numerical solution of a source identification problem: almost coercivity. Zbl 1418.65090
Ashyralyev, Allaberen; Erdogan, Abdullah Said; Sazaklioglu, Ali Ugur
1
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
1
2019
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Cited by 3,455 Authors

57 Yamamoto, Masahiro
56 Klibanov, Michael V.
55 Yang, Chuanfu
47 Banks, Harvey Thomas
46 Fu, Chuli
43 Hofmann, Bernd
43 Uhlmann, Gunther Alberto
40 Nguyen Huy Tuan
39 Lesnic, Daniel
35 Xiong, Xiangtuan
28 Bondarenko, Natalia P.
26 Yang, Fan
25 Denisov, Alexander Mikhailovich
25 Kabanikhin, Sergeĭ Igorevich
25 Yurko, Vjacheslav Anatoljevich
23 George, Santhosh
23 Salo, Mikko
22 Hasanoǧlu, Alemdar
22 Kaltenbacher, Barbara
21 Buterin, Sergey Alexandrovich
20 Li, Xiaoxiao
20 Maksimov, Vyacheslav Ivanovich
20 Romanov, Vladimir Gavrilovich
19 Đinh Nho Hào
19 Lassas, Matti J.
19 Nakamura, Gen
19 Nguyen, Loc Hoang
18 Bellassoued, Mourad
18 Cheng, Jin
18 Shishlenin, Maxim Aleksandrovich
17 Avdonin, Sergeĭ Anatol’evich
17 Han, Bo
17 Harrach, Bastian
17 Kian, Yavar
17 Mathé, Peter
17 Yagola, Anatoliĭ Grigor’evich
16 Hu, Guanghui
16 Liu, Chein-Shan
16 Lorenzi, Alfredo
16 Novikov, Roman G.
15 Ashyralyev, Allaberen
15 Beilina, Larisa
15 Chebotarev, Alexander Yurievich
15 Leonov, Aleksandr Sergeevich
15 Liu, Jijun
15 Lu, Shuai
15 Ramm, Alexander G.
14 Belishev, Mikhail Igorevitch
14 Choulli, Mourad
14 Ikehata, Masaru
14 Imanuvilov, Oleg Yu.
14 Janno, Jaan
14 Marin, Liviu
14 Wang, Yanfei
14 Wei, Ting
14 Xu, Xiaochuan
14 Zou, Jun
13 Bakushinskĭ, Anatoliĭ Borisovich B.
13 Băleanu, Dumitru I.
13 Bredies, Kristian
13 Fëdorov, Vladimir Evgen’evich
13 Johansson, B. Tomas
13 Kamynin, Vitaly Leonidovich
13 Kindermann, Stefan
13 Mikhaylov, Victor S.
13 Oksanen, Lauri
13 Stefanov, Plamen D.
13 Tzou, Leo
13 Wang, Yuping
13 Yan, Guozheng
12 Kress, Rainer
12 Li, Jingzhi
12 Monard, François
12 Pyatkov, Sergeĭ Grigor’evich
12 Siltanen, Samuli
12 Soltani, Fethi
12 Tautenhahn, Ulrich
12 Trong, Dang Duc
12 Viloche Bazán, Fermín S.
12 Wang, Jenn-Nan
12 Wu, Bin
11 Aida-Zade, Kamil Rajab
11 Boumenir, Amin A.
11 Cheng, Wei
11 Durdiev, Durdimurod Kalandarovich
11 Garde, Henrik
11 Guillarmou, Colin
11 Hämarik, Uno
11 Hon, Yiu-Chung
11 Kokurin, Mikhail Yur’evich
11 Li, Gongsheng
11 Lin, Yi-Hsuan
11 Liu, Hongyu
11 Luk’yanenko, Dmitriĭ Vital’evich
11 Nair, M. Thamban
11 Santacesaria, Matteo
11 Schuster, Thomas
11 Vasin, Vladimir Vasil’evich
10 Ageev, Aleksandr Leonidovich
10 Anikonov, Yuriĭ Evgenievich
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Cited in 410 Journals

279 Journal of Inverse and Ill-Posed Problems
204 Inverse Problems
148 Inverse Problems in Science and Engineering
125 Applicable Analysis
97 Inverse Problems and Imaging
87 Journal of Computational and Applied Mathematics
82 Journal of Mathematical Analysis and Applications
63 Computers & Mathematics with Applications
60 Applied Mathematics and Computation
52 Computational Mathematics and Mathematical Physics
51 Differential Equations
50 Journal of Mathematical Sciences (New York)
39 Journal of Differential Equations
37 SIAM Journal on Mathematical Analysis
36 Applied Mathematics Letters
35 Numerical Functional Analysis and Optimization
35 Applied Numerical Mathematics
34 Mathematical Methods in the Applied Sciences
32 Journal of Computational Physics
30 Boundary Value Problems
28 SIAM Journal on Imaging Sciences
26 Mathematics and Computers in Simulation
26 SIAM Journal on Applied Mathematics
24 Siberian Mathematical Journal
24 Russian Mathematics
23 Mathematical Notes
23 Engineering Analysis with Boundary Elements
22 Numerische Mathematik
21 Journal of Integral Equations and Applications
21 Numerical Algorithms
21 Applied Mathematical Modelling
21 Analysis and Mathematical Physics
20 Abstract and Applied Analysis
19 Journal de Mathématiques Pures et Appliquées. Neuvième Série
19 Computational and Applied Mathematics
19 Proceedings of the Steklov Institute of Mathematics
18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
18 Zeitschrift für Analysis und ihre Anwendungen
18 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
17 Journal of Mathematical Physics
16 Results in Mathematics
15 Comptes Rendus. Mathématique. Académie des Sciences, Paris
14 Bulletin of Mathematical Biology
14 SIAM Journal on Numerical Analysis
14 Computational Mathematics and Modeling
14 International Journal of Computer Mathematics
14 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
14 Advances in Difference Equations
13 Journal of Functional Analysis
12 Mathematical Biosciences
12 Proceedings of the American Mathematical Society
12 Mathematical and Computer Modelling
12 Communications in Partial Differential Equations
12 Mathematical Problems in Engineering
12 Doklady Mathematics
12 Sibirskie Èlektronnye Matematicheskie Izvestiya
12 Complex Variables and Elliptic Equations
12 Journal of Siberian Federal University. Mathematics & Physics
11 Transactions of the American Mathematical Society
11 Fractional Calculus & Applied Analysis
11 GEM - International Journal on Geomathematics
11 Journal of Theoretical Biology
10 Computer Methods in Applied Mechanics and Engineering
10 Ukrainian Mathematical Journal
10 Journal of Optimization Theory and Applications
10 Acta Mathematicae Applicatae Sinica. English Series
10 Journal of Scientific Computing
10 Applied and Computational Harmonic Analysis
10 Journal of Inequalities and Applications
10 Nonlinear Analysis. Real World Applications
10 Journal of Applied Mathematics and Computing
10 Mathematical Biosciences and Engineering
10 Discrete and Continuous Dynamical Systems. Series S
9 Mathematics of Computation
9 Journal of Complexity
9 The Journal of Geometric Analysis
9 Journal of Mathematical Imaging and Vision
9 ETNA. Electronic Transactions on Numerical Analysis
9 Advances in Computational Mathematics
9 Mathematical Modelling and Analysis
9 Computational Methods in Applied Mathematics
9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
9 Mathematical Control and Related Fields
8 Applied Mathematics and Optimization
8 Integral Equations and Operator Theory
8 Journal of Approximation Theory
8 Quarterly of Applied Mathematics
8 Chinese Annals of Mathematics. Series B
8 Automation and Remote Control
8 SIAM Journal on Scientific Computing
8 Lobachevskii Journal of Mathematics
8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
8 Advances in Mathematical Physics
8 Evolution Equations and Control Theory
7 Journal of Engineering Mathematics
7 SIAM Journal on Control and Optimization
7 Turkish Journal of Mathematics
7 Russian Journal of Numerical Analysis and Mathematical Modelling
7 Integral Transforms and Special Functions
7 Communications in Nonlinear Science and Numerical Simulation
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Cited in 51 Fields

1,832 Partial differential equations (35-XX)
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475 Operator theory (47-XX)
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257 Biology and other natural sciences (92-XX)
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232 Optics, electromagnetic theory (78-XX)
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176 Systems theory; control (93-XX)
154 Fluid mechanics (76-XX)
125 Statistics (62-XX)
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118 Integral transforms, operational calculus (44-XX)
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85 Operations research, mathematical programming (90-XX)
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34 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
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