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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: Journal; Indexed cover-to-cover
Documents Indexed: 1,399 Publications (since 1993)
References Indexed: 823 Publications with 17,655 References.
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Latest Issues

32, No. 2 (2024)
32, No. 1 (2024)
31, No. 6 (2023)
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...and 92 more Volumes
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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 1,388 more Authors
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Fields

818 Partial differential equations (35-XX)
585 Numerical analysis (65-XX)
249 Operator theory (47-XX)
134 Integral equations (45-XX)
127 Ordinary differential equations (34-XX)
92 Calculus of variations and optimal control; optimization (49-XX)
92 Mechanics of deformable solids (74-XX)
89 Biology and other natural sciences (92-XX)
81 Optics, electromagnetic theory (78-XX)
69 Integral transforms, operational calculus (44-XX)
63 Geophysics (86-XX)
60 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)
22 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
21 Computer science (68-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 Real functions (26-XX)
12 Functional analysis (46-XX)
12 Global analysis, analysis on manifolds (58-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

Citations contained in zbMATH Open

954 Publications have been cited 6,205 times in 4,205 Documents Cited by Year
Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems. Zbl 1273.35005
Klibanov, Michael V.
131
2013
Definitions and examples of inverse and ill-posed problems. Zbl 1170.35100
Kabanikhin, S. I.
129
2008
Recovering a potential from Cauchy data in the two-dimensional case. Zbl 1142.30018
Bukhgeim, A. L.
106
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.
61
2002
Optimal stable approximations for the sideways heat equation. Zbl 0879.35158
Tautenhahn, U.
56
1997
On problems of determining the source function in a parabolic equation. Zbl 0828.35142
Savateev, E. G.
56
1995
Conditional stability in determining a heat source. Zbl 1081.35136
Choulli, M.; Yamamoto, M.
49
2004
Convergence rates and source conditions for Tikhonov regularization with sparsity constraints. Zbl 1161.65041
Lorenz, D. A.
45
2008
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
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
Convexification of restricted Dirichlet-to-Neumann map. Zbl 1386.35478
Klibanov, Michael V.
35
2017
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
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
An inverse nodal problem for integro-differential operators. Zbl 1279.34090
Kuryshova, Yulia V.; Shieh, Chung-Tsun
33
2010
How to draw a picture of an unknown inclusion from boundary measurements. Two mathematical inversion algorithms. Zbl 0928.35207
Ikehata, M.
33
1999
Recovering the conductivity at the boundary from the Dirichlet to Neumann map: A pointwise result. Zbl 0991.35104
Brown, R. M.
32
2001
Approximate and analytical inversion formulas in heat conduction on multidimensional spaces. Zbl 1095.35072
Matsuura, T.; Saitoh, S.; Trong, D. D.
29
2005
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
Inverse problems on graphs: recovering the tree of strings by the BC-method. Zbl 1099.35165
Belishev, M. I.; Vakulenko, A. F.
28
2006
Inverse problems of memory reconstruction. Zbl 0818.45008
Bukhgeim, A. L.
26
1993
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.
26
1997
Singular value decomposition for the 2D fan-beam Radon transform of tensor fields. Zbl 1058.65143
Kazantsev, S. G.; Bukhgeim, A. A.
26
2004
On fractional Tikhonov regularization. Zbl 1327.65075
Gerth, Daniel; Klann, Esther; Ramlau, Ronny; Reichel, Lothar
25
2015
Fréchet differentiability of the solution to the acoustic Neumann scattering problem with respect to the domain. Zbl 0858.35139
Potthast, Roland
25
1996
Inverse source problems for positive operators. I. Hypoelliptic diffusion and subdiffusion equations. Zbl 1430.35272
Ruzhansky, Michael; Tokmagambetov, Niyaz; Torebek, Berikbol T.
24
2019
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
24
2020
Inverse spectral problems for differential operators on arbitrary compact graphs. Zbl 1279.34029
Yurko, Vjacheslav Anatoljevich
23
2010
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
23
2010
Wavelet-Galerkin methods for ill-posed problems. Zbl 0867.65026
Dicken, V.; Maass, P.
23
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.
23
2004
An inverse problem in corrosion detection: stability estimates. Zbl 1081.78006
Choulli, M.
23
2004
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.
22
2015
On Nesterov acceleration for Landweber iteration of linear ill-posed problems. Zbl 1367.47017
Neubauer, Andreas
22
2017
Dynamical variant of the BC-method: Theory and numerical testing. Zbl 0927.35129
Belishev, M. I.; Gotlib, V. Yu.
22
1999
Some stability estimates in determining sources and coefficients. Zbl 1110.35100
Choulli, M.; Yamamoto, M.
22
2006
An inverse problem for linear Sobolev type equations. Zbl 1081.35138
Fedorov, V. E.; Urazaeva, A. V.
22
2004
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
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.
21
2016
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.
21
2015
Reconstruction of inclusion from boundary measurements. Zbl 0994.35120
Ikehata, M.
21
2002
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
Linear inverse problems for parabolic and hyperbolic equations. Zbl 1279.35114
Kozhanov, Aleksandr Ivanovich; Safiullova, Regina Rifkhatovna
20
2010
Inverse problems for second-order differential pencils with Dirichlet boundary conditions. Zbl 1279.34021
Buterin, Sergey A.; Yurko, Vjacheslav A.
20
2012
Stability and convergence of the wavelet-Galerkin method for the sideways heat equation. Zbl 0947.35176
Regińska, T.; Eldén, L.
20
2000
General theory of the ill-posed Cauchy problem. Zbl 0835.35148
Melnikova, I. V.
20
1995
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
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.
19
2015
On iterative methods for solving ill-posed problems modeled by partial differential equations. Zbl 0980.35166
Baumeister, J.; Leitão, A.
19
2001
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
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
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
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
18
2022
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
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
Sequential subspace optimization for nonlinear inverse problems. Zbl 1355.65147
Wald, Anne; Schuster, Thomas
17
2017
Inverse problem of determining an order of the Caputo time-fractional derivative for a subdiffusion equation. Zbl 1461.35207
Alimov, Shavkat; Ashurov, Ravshan
17
2020
Control operators and iterative algorithms in variational data assimilation problems. Zbl 1031.93066
Shutyaev, V.
16
2001
On convergence of regularized modified Newton’s method for nonlinear ill-posed problems. Zbl 1279.65069
George, Santhosh
16
2010
On the inversion formulas of Pestov and Uhlmann for the geodesic ray transform. Zbl 1279.44002
Krishnan, Venkateswaran P.
16
2010
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
Modulus of continuity for conditionally stable ill-posed problems in Hilbert space. Zbl 1156.47013
Hofmann, B.; Mathé, P.; Schieck, M.
16
2008
Monotonicity based imaging methods for elliptic and parabolic inverse problems. Zbl 1111.35127
Tamburrino, A.
16
2006
On approximation of inverse problems for abstract elliptic problems. Zbl 1195.65159
Orlovsky, D.; Piskarev, S.
16
2009
Unique determination of potentials and semilinear terms of semilinear elliptic equations from partial Cauchy data. Zbl 1273.35318
Imanuvilov, Oleg; Yamamoto, Masahiro
16
2013
Phaseless inverse problems with interference waves. Zbl 1401.35350
Romanov, Vladimir G.; Yamamoto, Masahiro
16
2018
Identification of biological models described by systems of nonlinear differential equations. Zbl 1369.92002
Kabanikhin, Sergey I.; Krivorotko, Olga I.
15
2015
Inverse problems for the ground penetrating radar. Zbl 1278.65145
Kabanikhin, S. I.; Nurseitov, D. B.; Shishlenin, M. A.; Sholpanbaev, B. B.
15
2013
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
A global stability estimate for the Gel’fand-Calderón inverse problem in two dimensions. Zbl 1279.35120
Novikov, Roman; Santacesaria, Matteo
15
2010
Uniqueness theorems from partial information of the potential on a graph. Zbl 1279.34028
Yang, Chuan-Fu; Yang, Xiao-Ping
15
2011
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
Inverse source problem for a transmission problem for a parabolic equation. Zbl 1099.35166
Bellassoued, M.; Yamamoto, M.
15
2006
Iterative methods for solving a nonlinear boundary inverse problem in glaciology. Zbl 1173.35718
Avdonin, S.; Kozlov, V.; Maxwell, D.; Truffer, M.
15
2009
Convergence analysis of an inexact iteratively regularized Gauss-Newton method under general source conditions. Zbl 1129.65043
Langer, S.; Hohage, T.
15
2007
Open issues of stability for the inverse conductivity problem. Zbl 1221.35443
Alessandrini, G.
15
2007
On local and global structures of transmission eigenfunctions and beyond. Zbl 1486.35320
Liu, Hongyu
15
2022
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
15
2019
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
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
Theory and examples of variational regularization with non-metric fitting functionals. Zbl 1280.47062
Flemming, Jens
14
2010
Stability analysis for determining a source term in a 1-D advection-dispersion equation. Zbl 1111.35122
Li, Gongsheng; Yamamoto, M.
14
2006
Generic well-posedness of a linear inverse parabolic problem with diffusion parameters. Zbl 0928.35203
Choulli, M.; Yamamoto, M.
14
1999
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
Fréchet differentiability of the far field operator for scattering from a crack. Zbl 0846.35146
Kress, Rainer
14
1995
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
Use of extrapolation in regularization methods. Zbl 1127.65029
Hämarik, U.; Palm, R.; Raus, T.
14
2007
Inverse problems of identifying the unknown transverse shear force in the Euler-Bernoulli beam with Kelvin-Voigt damping. Zbl 07803164
Kumarasamy, Sakthivel; Hasanov, Alemdar; Dileep, Anjuna
2
2024
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.
5
2023
Method for solving inverse spectral problems on quantum star graphs. Zbl 1519.34015
Avdonin, Sergei A.; Kravchenko, Vladislav V.
4
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
2
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
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 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
Local solvability and stability of the generalized inverse Robin-Regge problem with complex coefficients. Zbl 07757068
Xu, Xiao-Chuan; Bondarenko, Natalia Pavlovna
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
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
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
18
2022
On local and global structures of transmission eigenfunctions and beyond. Zbl 1486.35320
Liu, Hongyu
15
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
Imaging of bi-anisotropic periodic structures from electromagnetic near-field data. Zbl 1486.35469
Nguyen, Dinh-Liem; Trung Truong
3
2022
On an inverse boundary value problem for a nonlinear time-harmonic Maxwell system. Zbl 1491.35450
Cârstea, Cătălin I.
3
2022
Uniqueness and stability analysis of final data inverse source problems for evolution equations. Zbl 1490.74055
Romanov, Vladimir; Hasanov, Alemdar
3
2022
The modulus of the Fourier transform on a sphere determines 3-dimensional convex polytopes. Zbl 1497.42022
Engel, Konrad; Laasch, Bastian
3
2022
Legendre spectral projection methods for Fredholm integral equations of first kind. Zbl 1502.65278
Patel, Subhashree; Panigrahi, Bijaya Laxmi; Nelakanti, Gnaneshwar
3
2022
Inverse problem with final overdetermination for time-fractional differential equation in a Banach space. Zbl 1494.34079
Orlovsky, Dmitry; Piskarev, Sergey
2
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
Inverse coefficient problems and fast automatic differentiation. Zbl 1490.80002
Evtushenko, Yury; Zubov, Vladimir; Albu, Alla
2
2022
Fixed angle inverse scattering in the presence of a Riemannian metric. Zbl 1493.35114
Ma, Shiqi; Salo, Mikko
2
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
2
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
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
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
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.
7
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
Inverse problems for stochastic parabolic equations with additive noise. Zbl 1509.60123
Yuan, Ganghua
3
2021
Global stability result for parabolic Cauchy problems. Zbl 1481.35387
Choulli, Mourad; Yamamoto, Masahiro
3
2021
Stability estimates for reconstruction from the Fourier transform on the ball. Zbl 1468.42007
Isaev, Mikhail; Novikov, Roman G.
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
Inverting the variable fractional order in a variable-order space-fractional diffusion equation with variable diffusivity: analysis and simulation. Zbl 1472.34033
Zheng, Xiangcheng; Li, Yiqun; Cheng, Jin; Wang, Hong
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. Zbl 1460.35393
Kostin, Andrey B.; Piskarev, Sergey I.
2
2021
Inverse problems in analysis of input-output model in the class of CES functions. Zbl 1460.91110
Shananin, Alexander A.; Rassokha, Anastasiya V.
2
2021
A hypersurface containing the support of a Radon transform must be an ellipsoid. II: The general case. Zbl 1477.44001
Boman, Jan
2
2021
The fluid-solid interaction scattering problem with unknown buried objects. Zbl 1464.35090
Xiang, Jianli; Yan, Guozheng
1
2021
Conditional stability in a backward Cahn-Hilliard equation via a Carleman estimate. Estimates for linear Cahn-Hilliard equations. Zbl 1460.35191
Shang, Yunxia; Li, Shumin
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
Conditional stability for an inverse coefficient problem of a weakly coupled time-fractional diffusion system with half order by Carleman estimate. Zbl 1475.35397
Ren, Caixuan; Huang, Xinchi; Yamamoto, Masahiro
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
Space-time finite element method for determination of a source in parabolic equations from boundary observations. Zbl 1510.65232
Thanh, Phan Xuan
1
2021
On dynamical input reconstruction in a distributed second order equation. Zbl 1476.93103
Osipov, Yury S.; Maksimov, Vyacheslav I.
1
2021
Convexity properties of the normalized Steklov zeta function of a planar domain. Zbl 1469.35161
Jollivet, Alexandre
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
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
24
2020
Inverse problem of determining an order of the Caputo time-fractional derivative for a subdiffusion equation. Zbl 1461.35207
Alimov, Shavkat; Ashurov, Ravshan
17
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
9
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
8
2020
Inverse problems for a conformable fractional Sturm-Liouville operator. Zbl 1465.34025
Adalar, İbrahim; Ozkan, Ahmet Sinan
8
2020
Direct and inverse source problems for degenerate parabolic equations. Zbl 1475.35175
Hussein, M. S.; Lesnic, Daniel; Kamynin, Vitaly L.; Kostin, Andrey B.
8
2020
Inverse source problem for a distributed-order time fractional diffusion equation. Zbl 1509.35340
Cheng, Xiaoliang; Yuan, Lele; Liang, Kewei
7
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 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
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
6
2020
Sampling in thermoacoustic tomography. Zbl 1460.35405
Mathison, Chase
6
2020
A non-iterative method for recovering the space-dependent source and the initial value simultaneously in a parabolic equation. Zbl 1446.35269
Wang, Zewen; Chen, Shuli; Qiu, Shufang; Wu, Bin
6
2020
Inverse spectral problems for differential operators with non-separated boundary conditions. Zbl 1511.34028
Yurko, Vjacheslav A.
6
2020
Inverse problem for elastic body with thin elastic inclusion. Zbl 1436.35189
Khludnev, Alexander M.
5
2020
The factorization and monotonicity method for the defect in an open periodic waveguide. Zbl 1461.35227
Furuya, Takashi
5
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
5
2020
A stability result for the determination of order in time-fractional diffusion equations. Zbl 1448.35554
Li, Zhiyuan; Huang, Xinchi; Yamamoto, Masahiro
5
2020
The backward problem of parabolic equations with the measurements on a discrete set. Zbl 1431.65152
Cheng, Jin; Ke, Yufei; Wei, Ting
4
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.
4
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
4
2020
Modified Radon transform inversion using moments. Zbl 1451.44002
Choi, Hayoung; Ginting, Victor; Jafari, Farhad; Mnatsakanov, Robert
3
2020
Isospectral sets for transmission eigenvalue problem. Zbl 1437.34027
Yang, Chuan-Fu; Buterin, Sergey A.
3
2020
Stability estimate for an inverse problem of the convection-diffusion equation. Zbl 1431.35238
Bellassoued, Mourad; Rassas, Imen
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
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.
3
2020
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Cited by 4,211 Authors

73 Klibanov, Michael V.
64 Yamamoto, Masahiro
63 Yang, Chuanfu
50 Uhlmann, Gunther Alberto
48 Banks, Harvey Thomas
46 Fu, Chuli
46 Hofmann, Bernd
43 Lesnic, Daniel
42 Nguyen Huy Tuan
36 Xiong, Xiangtuan
33 Bondarenko, Natalia P.
32 Kabanikhin, Sergeĭ Igorevich
32 Nguyen, Loc Hoang
31 Yang, Fan
30 Denisov, Alexander Mikhailovich
28 Liu, Hongyu
27 George, Santhosh
27 Romanov, Vladimir Gavrilovich
25 Buterin, Sergey Alexandrovich
25 Đinh Nho Hào
25 Hasanoǧlu, Alemdar
25 Kian, Yavar
25 Li, Xiaoxiao
25 Salo, Mikko
25 Yurko, Vjacheslav Anatoljevich
23 Shishlenin, Maxim Aleksandrovich
23 Wei, Ting
22 Han, Bo
22 Kaltenbacher, Barbara
22 Lassas, Matti J.
22 Nakamura, Gen
22 Novikov, Roman G.
21 Avdonin, Sergeĭ Anatol’evich
21 Beilina, Larisa
21 Maksimov, Vyacheslav Ivanovich
20 Bellassoued, Mourad
20 Cheng, Jin
20 Harrach, Bastian
19 Li, Jingzhi
19 Trong, Dang Duc
18 Ashyralyev, Allaberen
18 Chebotarev, Alexander Yurievich
18 Choulli, Mourad
18 Hu, Guanghui
18 Ikehata, Masaru
18 Yagola, Anatoliĭ Grigor’evich
18 Zhang, Ye
17 Belishev, Mikhail Igorevitch
17 Durdiev, Durdimurod Kalandarovich
17 Liu, Jijun
17 Mathé, Peter
17 Pyatkov, Sergeĭ Grigor’evich
16 Kamynin, Vitaly Leonidovich
16 Leonov, Aleksandr Sergeevich
16 Liu, Chein-Shan
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 Fëdorov, Vladimir Evgen’evich
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 Janno, Jaan
14 Mikhaylov, Victor S.
14 Monard, François
14 Oksanen, Lauri
14 Ramlau, Ronny
14 Viloche Bazán, Fermín S.
14 Wang, Yanfei
14 Yan, Guozheng
13 Băleanu, Dumitru I.
13 de Hoop, Maarten V.
13 Kozhanov, Aleksandr Ivanovich
13 Li, Gongsheng
13 Lin, Yi-Hsuan
13 Luk’yanenko, Dmitriĭ Vital’evich
13 Nair, M. Thamban
13 Schuster, Thomas
13 Tzou, Leo
13 Wang, Jenn-Nan
13 Wang, Yuping
13 Wu, Bin
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 Nguyen, Dinh Liem
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Cited in 469 Journals

338 Journal of Inverse and Ill-Posed Problems
322 Inverse Problems
158 Inverse Problems in Science and Engineering
135 Applicable Analysis
116 Inverse Problems and Imaging
99 Journal of Computational and Applied Mathematics
97 Journal of Mathematical Analysis and Applications
74 Computers & Mathematics with Applications
66 Applied Mathematics and Computation
65 Computational Mathematics and Mathematical Physics
62 Mathematical Methods in the Applied Sciences
60 Journal of Mathematical Sciences (New York)
57 Differential Equations
47 SIAM Journal on Mathematical Analysis
44 Journal of Differential Equations
41 Applied Mathematics Letters
40 SIAM Journal on Imaging Sciences
39 Applied Numerical Mathematics
37 Journal of Computational Physics
37 Numerical Functional Analysis and Optimization
34 Mathematics and Computers in Simulation
34 Boundary Value Problems
33 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
31 SIAM Journal on Applied Mathematics
28 Applied Mathematical Modelling
27 Siberian Mathematical Journal
27 Russian Mathematics
25 Mathematical Notes
25 Numerical Algorithms
25 Computational and Applied Mathematics
24 Engineering Analysis with Boundary Elements
23 Numerische Mathematik
23 Journal of Integral Equations and Applications
22 Results in Mathematics
22 Abstract and Applied Analysis
22 Analysis and Mathematical Physics
21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
21 Proceedings of the Steklov Institute of Mathematics
20 Journal of Mathematical Physics
20 Lobachevskii Journal of Mathematics
19 Bulletin of Mathematical Biology
19 Journal de Mathématiques Pures et Appliquées. Neuvième Série
18 Zeitschrift für Analysis und ihre Anwendungen
18 International Journal of Computer Mathematics
18 Comptes Rendus. Mathématique. Académie des Sciences, Paris
17 Computational Mathematics and Modeling
17 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
17 Fractional Calculus & Applied Analysis
16 ETNA. Electronic Transactions on Numerical Analysis
15 Doklady Mathematics
15 Journal of Applied Mathematics and Computing
15 Complex Variables and Elliptic Equations
14 Journal of Functional Analysis
14 SIAM Journal on Numerical Analysis
14 Communications in Partial Differential Equations
14 Advances in Difference Equations
14 Sibirskie Èlektronnye Matematicheskie Izvestiya
14 Journal of Siberian Federal University. Mathematics & Physics
13 Computer Methods in Applied Mechanics and Engineering
13 Ukrainian Mathematical Journal
13 Proceedings of the American Mathematical Society
13 Journal of Scientific Computing
13 The Journal of Geometric Analysis
13 Nonlinear Analysis. Real World Applications
13 Mathematical Control and Related Fields
12 Mathematical Biosciences
12 Mathematical and Computer Modelling
12 Mathematical Problems in Engineering
12 Communications in Nonlinear Science and Numerical Simulation
12 Computational Methods in Applied Mathematics
12 Mathematical Biosciences and Engineering
12 Evolution Equations and Control Theory
11 Journal of Optimization Theory and Applications
11 Transactions of the American Mathematical Society
11 Journal of Complexity
11 SIAM Journal on Scientific Computing
11 Applied and Computational Harmonic Analysis
11 Russian Journal of Numerical Analysis and Mathematical Modelling
11 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki
11 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
11 GEM - International Journal on Geomathematics
11 Journal of Theoretical Biology
11 SIAM/ASA Journal on Uncertainty Quantification
11 Matematicheskie Zametki SVFU
10 Mathematics of Computation
10 Applied Mathematics and Optimization
10 Acta Mathematicae Applicatae Sinica. English Series
10 Numerical Methods for Partial Differential Equations
10 Journal of Mathematical Imaging and Vision
10 Advances in Computational Mathematics
10 Journal of Inequalities and Applications
10 Discrete and Continuous Dynamical Systems. Series S
10 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal
9 SIAM Journal on Control and Optimization
9 Mathematical Modelling and Analysis
8 Journal of Engineering Mathematics
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
8 Integral Equations and Operator Theory
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Cited in 55 Fields

2,365 Partial differential equations (35-XX)
1,753 Numerical analysis (65-XX)
578 Operator theory (47-XX)
413 Ordinary differential equations (34-XX)
309 Biology and other natural sciences (92-XX)
304 Calculus of variations and optimal control; optimization (49-XX)
287 Optics, electromagnetic theory (78-XX)
259 Integral equations (45-XX)
255 Mechanics of deformable solids (74-XX)
210 Systems theory; control (93-XX)
184 Fluid mechanics (76-XX)
153 Statistics (62-XX)
149 Integral transforms, operational calculus (44-XX)
138 Classical thermodynamics, heat transfer (80-XX)
122 Information and communication theory, circuits (94-XX)
106 Operations research, mathematical programming (90-XX)
95 Real functions (26-XX)
90 Geophysics (86-XX)
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84 Probability theory and stochastic processes (60-XX)
79 Functional analysis (46-XX)
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29 Statistical mechanics, structure of matter (82-XX)
24 Special functions (33-XX)
17 Combinatorics (05-XX)
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8 History and biography (01-XX)
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