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Inverse Problems in Science and Engineering

Short Title: Inverse Probl. Sci. Eng.
Publisher: Taylor & Francis, Abingdon, Oxfordshire
ISSN: 1741-5977; 1741-5985/e
Online: http://www.tandfonline.com/loi/gipe20
Successor:
Comments: No longer indexed
Documents Indexed: 1,145 Publications (2005–2021)
References Indexed: 1,096 Publications with 32,218 References.
all top 5

Latest Issues

29, No. 13 (2021)
29, No. 12 (2021)
29, No. 11 (2021)
29, No. 10 (2021)
29, No. 9 (2021)
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20, No. 7 (2012)
20, No. 5 (2012)
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20, No. 1 (2012)
19, No. 8 (2011)
19, No. 7 (2011)
19, No. 6 (2011)
...and 49 more Volumes
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Authors

26 Lesnic, Daniel
25 Orlande, Helcio Rangel Barreto
19 Colaço, Marcelo José
16 Liu, Chein-Shan
12 Dulikravich, George Stevo
12 Johansson, B. Tomas
10 Fu, Chuli
9 Hasanoǧlu, Alemdar
9 Yagola, Anatoliĭ Grigor’evich
8 Carasso, Alfred S.
8 Hamdi, Adel
7 Karageorghis, Andreas
7 Slodička, Marián
7 Wei, Ting
6 Cheng, Xiaoliang
6 Divo, Eduardo A.
6 Kassab, Alain J.
6 Qian, Zhi
6 Wang, Yanfei
6 Yang, Chuanfu
6 Yang, Fan
5 Artioukhine, Eugene
5 Banks, Harvey Thomas
5 de Sousa, Fabiano Luis
5 Gaikovich, Konstantin P.
5 Han, Weimin
5 Li, Xiaoxiao
5 Liu, Gui-Rong
5 Loulou, Tahar
5 Marin, Liviu
5 Moaveni, S.
5 Russell, Kevin
5 Sebu, Cristiana
5 Sixou, Bruno
5 Stepanova, I. È.
5 Xiong, Xiangtuan
4 Ameur, Hend Ben
4 Autrique, Laurent
4 Bardsley, Johnathan M.
4 Białecki, Ryszard A.
4 Castello, Daniel Alves
4 Chang, Chih-Wen
4 Chang, Jiang-ren
4 Chapko, Roman
4 Chavent, Guy
4 Chen, Wen
4 Chu, Jinkui
4 Gong, Rongfang
4 Guimarães, Gilmar
4 Han, Bo
4 Han, Xu
4 Inglese, Gabriele
4 Kaipio, Jari P.
4 Klibanov, Michael V.
4 Kourehli, Seyed Sina
4 Koyunbakan, Hikmet
4 Li, Gongsheng
4 Lionheart, William Robert Breckon
4 Liu, Jie
4 Liu, Tao
4 Meng, Zehong
4 Nguyen Huy Tuan
4 Nili-Ahmadabadi, Mahdi
4 Pektas, Burhan
4 Petit, Daniel
4 Sun, Jianwei
4 Trivailo, Pavel M.
4 Viloche Bazán, Fermín S.
4 Weber, Gerhard-Wilhelm
4 Wen, Jin
4 Yamamoto, Masahiro
4 Zhang, Ye
4 Zhao, Zhenyu
3 Alifanov, Oleg M.
3 Alves, Carlos J. S.
3 Amiri, Gholamreza Ghodrati
3 Ashrafizadeh, Ali
3 Battaglia, Jean-Luc
3 Berntsson, Fredrik
3 Boumenir, Amin A.
3 Chen, Hantaw
3 Cheng, Hao
3 Clément, François
3 Crabb, M. G.
3 de Campos Velho, Haroldo Fraga
3 Dehghan Takht Fooladi, Mehdi
3 Đinh Nho Hào
3 Dorn, Oliver
3 Duan, Shuyong
3 Eksteen, J. J. A.
3 Esfandiari, Akbar
3 Feng, Xiaoli
3 Fox, Colin D.
3 Frankel, Jay I.
3 Fulginei, Francesco Riganti
3 Grebénnikov, Alexandre Ivanovich
3 Gulliksson, Mårten E.
3 Herskovits, Jose Norman
3 Heyns, P. Stephan
3 Huang, Cheng-Hung
...and 2,098 more Authors
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Fields

632 Numerical analysis (65-XX)
343 Partial differential equations (35-XX)
229 Mechanics of deformable solids (74-XX)
173 Classical thermodynamics, heat transfer (80-XX)
123 Biology and other natural sciences (92-XX)
121 Fluid mechanics (76-XX)
114 Optics, electromagnetic theory (78-XX)
69 Statistics (62-XX)
68 Ordinary differential equations (34-XX)
68 Geophysics (86-XX)
51 Operations research, mathematical programming (90-XX)
49 Integral equations (45-XX)
47 Systems theory; control (93-XX)
42 Computer science (68-XX)
37 Operator theory (47-XX)
37 Information and communication theory, circuits (94-XX)
36 Calculus of variations and optimal control; optimization (49-XX)
34 Mechanics of particles and systems (70-XX)
23 Linear and multilinear algebra; matrix theory (15-XX)
22 General and overarching topics; collections (00-XX)
19 Integral transforms, operational calculus (44-XX)
16 Probability theory and stochastic processes (60-XX)
8 Potential theory (31-XX)
7 Dynamical systems and ergodic theory (37-XX)
6 Real functions (26-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 History and biography (01-XX)
5 Special functions (33-XX)
5 Approximations and expansions (41-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
3 Functional analysis (46-XX)
3 Astronomy and astrophysics (85-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Mathematical logic and foundations (03-XX)
2 Combinatorics (05-XX)
2 Convex and discrete geometry (52-XX)
2 Differential geometry (53-XX)
2 Quantum theory (81-XX)
1 Number theory (11-XX)
1 Field theory and polynomials (12-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Geometry (51-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

645 Publications have been cited 2,794 times in 2,017 Documents Cited by Year
A survey of applications of the MFS to inverse problems. Zbl 1220.65157
Karageorghis, A.; Lesnic, D.; Marin, L.
115
2011
The method of fundamental solutions for the backward heat conduction problem. Zbl 1194.80107
Mera, N. S.
62
2005
A coupled method for inverse source problem of spatial fractional anomalous diffusion equations. Zbl 1204.65116
Wei, Hui; Chen, Wen; Sun, Hongguang; Li, Xicheng
39
2010
Generalized finite difference method for solving two-dimensional inverse Cauchy problems. Zbl 1329.65257
Fan, Chia-Ming; Li, Po-Wei; Yeih, Weichung
32
2015
CMARS: A new contribution to nonparametric regression with multivariate adaptive regression splines supported by continuous optimization. Zbl 1254.65020
Weber, Gerhard-Wilhelm; Batmaz, İNci; Köksal, Gülser; Taylan, Pakize; Yerlikaya-Özkurt, Fatma
30
2012
Fourier regularization method for solving a Cauchy problem for the Laplace equation. Zbl 1258.65094
Fu, C.-L.; Li, H.-F.; Qian, Z.; Xiong, X.-T.
28
2008
A uniqueness theorem for the boundary value problems with non-linear dependence on the spectral parameter in the boundary conditions. Zbl 1187.34016
Chernozhukova, A.; Freiling, G.
28
2009
A simple projection method for solving the multiple-sets split feasibility problem. Zbl 1285.65038
Zhao, Jinling; Yang, Qingzhi
28
2013
Stable numerical evaluation of Grünwald-Letnikov fractional derivatives applied to a fractional IHCP. Zbl 1159.65313
Murio, Diego A.
25
2009
Reconstruction of a moving boundary from Cauchy data in one-dimensional heat equation. Zbl 1165.65387
Wei, T.; Yamamoto, M.
24
2009
The inverse problem of finding the time-dependent diffusion coefficient of the heat equation from integral overdetermination data. Zbl 1259.65142
Kanca, Fatma; Ismailov, Mansur I.
24
2012
A numerical method for solving the inverse heat conduction problem without initial value. Zbl 1193.35254
Wang, Y. B.; Cheng, J.; Nakagawa, J.; Yamamoto, M.
22
2010
Inverse problems for discontinuous Sturm-Liouville operators with mixed spectral data. Zbl 1326.34034
Wang, Yu Ping
21
2015
Detection of cavities using the method of fundamental solutions. Zbl 1175.65130
Karageorghis, A.; Lesnic, D.
21
2009
An alternating iterative procedure for the Cauchy problem for the Helmholtz equation. Zbl 1321.35010
Berntsson, F.; Kozlov, V. A.; Mpinganzima, L.; Turesson, B. O.
20
2014
Identifying an unknown source term in a heat equation. Zbl 1183.65116
Dou, Fang-Fang; Fu, Chu-Li; Yang, Fan
19
2009
Uniqueness of positive solutions for boundary value problems of singular fractional differential equations. Zbl 1259.34010
Sun, Shurong; Zhao, Yige; Han, Zhenlai; Xu, Meirong
19
2012
A numerical method for solving a nonlinear inverse parabolic problem. Zbl 1207.65116
Pourgholi, R.; Rostamian, M.; Emamjome, M.
18
2010
The method of fundamental solutions for the inverse conductivity problem. Zbl 1194.65139
Karageorghis, A.; Lesnic, D.
18
2010
Inverse source identification for Poisson equation. Zbl 1194.65130
Ling, Leevan; Hon, Y. C.; Yamamoto, M.
18
2005
Inverse nodal problems for Sturm-Liouville equation with polynomially dependent on the eigenparameter. Zbl 1248.34013
Yang, Chuan-Fu; Yang, Xiao-Ping
18
2011
The inverse source problem for time-fractional diffusion equation: stability analysis and regularization. Zbl 1329.35357
Yang, Fan; Fu, Chu-Li; Li, Xiao-Xiao
18
2015
Numerical solution of two-dimensional inverse force function in the wave equation with nonlocal boundary conditions. Zbl 1398.65237
Shivanian, Elyas; Jafarabadi, Ahmad
18
2017
Numerical approximation of the one-dimensional inverse Cauchy-Stefan problem using a method of fundamental solutions. Zbl 1254.65101
Johansson, B. Tomas; Lesnic, Daniel; Reeve, Thomas
17
2011
Determination of a time-dependent heat transfer coefficient in a nonlinear inverse heat conduction problem. Zbl 1186.65132
Slodička, M.; Lesnic, D.; Onyango, T. T. M.
17
2010
A regularization for a Riesz-Feller space-fractional backward diffusion problem. Zbl 1329.65208
Cheng, Hao; Fu, Chu-Li; Zheng, Guang-Hui; Gao, Jie
17
2014
Regularization methods for ill-conditioned system of the integral equation of the first kind with the logarithmic kernel. Zbl 1321.65194
Chen, Jeng-Tzong; Han, Houde; Kuo, Shyh-Rong; Kao, Shing-Kai
17
2014
On a final value problem for the time-fractional diffusion equation with inhomogeneous source. Zbl 1398.65240
Tuan, Nguyen Huy; Long, Le Dinh; Nguyen, Van Thinh; Tran, Thanh
17
2017
Ritz-Galerkin method for solving an inverse heat conduction problem with a nonlinear source term via Bernstein multi-scaling functions and cubic B-spline functions. Zbl 1281.65124
Dehghan, Mehdi; Yousefi, Sohrab Ali; Rashedi, Kamal
17
2013
Recovering the source term in a linear diffusion problem by the method of fundamental solutions. Zbl 1159.65354
Alves, Carlos J. S.; Colaço, Marcelo J.; Leitão, Vitor M. A.; Martins, Nuno F. M.; Orlande, Helcio R. B.; Roberty, Nilson C.
16
2008
Projected Barzilai-Borwein method for large-scale nonnegative image restoration. Zbl 1202.94077
Wang, Yanfei; Ma, Shiqian
16
2007
Boundary particle method for Cauchy inhomogeneous potential problems. Zbl 1242.65227
Fu, Zhuojia; Chen, Wen; Zhang, Chuanzeng
16
2012
The method of fundamental solutions for solving a Cauchy problem of Laplace’s equation in a multi-connected domain. Zbl 1258.65102
Zhou, Dayong; Wei, Ting
16
2008
Determination of space-time-dependent heat source in a parabolic inverse problem via the Ritz-Galerkin technique. Zbl 1321.65146
Rashedi, Kamal; Adibi, Hojatollah; Dehghan, Mehdi
15
2014
Determining magnitude of groundwater pollution sources by data compatibility analysis. Zbl 1194.76269
Li, G. S.; Tan, Y. J.; Cheng, J.; Wang, X. Q.
14
2006
Recovery of a space-dependent vector source in thermoelastic systems. Zbl 1329.65214
Van Bockstal, K.; Slodička, M.
14
2015
An inverse problem of identifying the source coefficient in a degenerate heat equation. Zbl 1326.35419
Deng, Zui-Cha; Qian, Kun; Rao, Xiao-Bo; Yang, Liu; Luo, Guan-Wei
14
2015
Equation error approach for elliptic inverse problems with an application to the identification of Lamé parameters. Zbl 1258.74087
Gockenbach, M. S.; Jadamba, B.; Khan, A. A.
14
2008
Optimal modified method for a fractional-diffusion inverse heat conduction problem. Zbl 1195.65125
Qian, Zhi
13
2010
A homotopy method for the inversion of a two-dimensional acoustic wave equation. Zbl 1194.76262
Han, B.; Fu, H. S.; Li, Z.
13
2005
Level set reconstruction of conductivity and permittivity from boundary electrical measurements using experimental data. Zbl 1194.78011
Soleimani, M.; Lionheart, W. R. B.; Dorn, O.
13
2006
On the half inverse spectral problem for an integro-differential operator. Zbl 1390.45022
Buterin, S. A.; Sat, M.
13
2017
A meshless method for an inverse two-phase one-dimensional linear Stefan problem. Zbl 1267.80011
Johansson, B. Tomas; Lesnic, Daniel; Reeve, Thomas
12
2013
A modified method for determining the surface heat flux of IHCP. Zbl 1202.80017
Qian, Z.; Fu, C.-L.; Xiong, X.-T.
12
2007
Inverse heat conduction problems with boundary and final time measured output data. Zbl 1241.35218
Hasanov, Alemdar; Otelbaev, Muhtarbay; Akpayev, Bakytzhan
12
2011
Inversion of weighted Radon transforms via finite Fourier series weight approximations. Zbl 1329.65326
Guillement, J.-P.; Novikov, R. G.
12
2014
A nonlinear integral equation method for the inverse scattering problem by sound-soft rough surfaces. Zbl 1326.65182
Li, Jianliang; Sun, Guanying
12
2015
Identification of point sources in two-dimensional advection-diffusion-reaction equation: application to pollution sources in a river. Stationary case. Zbl 1258.76151
Hamdi, Adel
12
2007
A parallel radial bisection algorithm for inverse scattering problems. Zbl 1269.65116
Liu, Keji; Xu, Yongzhi; Zou, Jun
11
2013
Reconstruction formula for the potential function of Sturm-Liouville problem with eigenparameter boundary condition. Zbl 1187.34017
Panakhov, Etibar S.; Koyunbakan, Hikmet; Ic, Unal
11
2010
A modified Tikhonov regularization method for a backward heat equation. Zbl 1244.65136
Zhao, Zhenyu; Meng, Zehong
11
2011
Regularization of an autoconvolution problem in ultrashort laser pulse characterization. Zbl 1304.47013
Gerth, Daniel; Hofmann, Bernd; Birkholz, Simon; Koke, Sebastian; Steinmeyer, Günter
11
2014
A semi-inverse problem of flows of fluids with pressure-dependent viscosities. Zbl 1258.76080
Rajagopal, K. R.
11
2008
Semi-analytic inversion method for the determination of elastoplastic properties of power hardening materials from limited torsional experiment. Zbl 1422.74101
Hasanov, Alemdar; Tatar, Salih
11
2010
Comparison of linear and non-linear monotonicity-based shape reconstruction using exact matrix characterizations. Zbl 1391.35417
Garde, Henrik
11
2018
Finding a control parameter in a one-dimensional parabolic inverse problem by using the Bernstein Galerkin method. Zbl 1175.65109
Yousefi, S. A.
11
2009
A modified quasi-boundary value method for regularizing of a backward problem with time-dependent coefficient. Zbl 1227.65089
Quan, Pham Hoang; Trong, Dang Duc; Triet, Le Minh; Tuan, Nguyen Huy
11
2011
On the identification of star-shape sources from boundary measurements using a reciprocity functional. Zbl 1166.65392
Roberty, N. C.; Alves, C. J. S.
10
2009
Singular boundary method for inverse heat conduction problems in general anisotropic media. Zbl 1329.65284
Gu, Yan; Chen, Wen; Fu, Zhuo-Jia
10
2014
Determination of a differential operator with discontinuity from interior spectral data. Zbl 1329.34039
Neamaty, A.; Khalili, Y.
10
2014
A quasi-boundary-value method for a Cauchy problem of an elliptic equation in multiple dimensions. Zbl 1321.65165
Feng, Xiaoli; Ning, Wantao; Qian, Zhi
10
2014
A new improved regularization method for dynamic load identification. Zbl 1321.65196
Sun, Xingsheng; Liu, Jie; Han, Xu; Jiang, Chao; Chen, Rui
10
2014
Inverse nodal problems for Sturm-Liouville equation with eigenparameter-dependent boundary and jump conditions. Zbl 1326.34033
Sinan Ozkan, A.; Keskin, Baki
10
2015
A local meshless method for Cauchy problem of elliptic PDEs in annulus domains. Zbl 1342.65209
Shirzadi, Ahmad; Takhtabnoos, Fariba
10
2016
Rapid identification of material properties of the interface tissue in dental implant systems using reduced basis method. Zbl 1300.92047
Hoang, K. C.; Khoo, B. C.; Liu, G. R.; Nguyen, N. C.; Patera, A. T.
10
2013
Image restoration using \(L_1\) norm penalty function. Zbl 1258.94013
Agarwal, Vivek; Gribok, Andrei V.; Abidi, Mongi A.
10
2007
Solving ill-conditioned linear algebraic systems by the dynamical systems method. Zbl 1258.65036
Hoang, N. S.; Ramm, A. G.
10
2008
Fast reconstruction of harmonic functions from Cauchy data using integral equation techniques. Zbl 1190.65147
Helsing, Johan; Johansson, B. Tomas
10
2010
Identifying an unknown source term in radial heat conduction. Zbl 1258.65085
Cheng, Wei; Ma, Yun-Jie; Fu, Chu-Li
10
2012
An evolution of the back and forth nudging for geophysical data assimilation: application to Burgers equation and comparisons. Zbl 1281.35093
Auroux, Didier; Bansart, Patrick; Blum, Jacques
10
2013
Solving inverse heat conduction problems using trained POD-RBF network inverse method. Zbl 1158.35433
Ostrowski, Z.; Białecki, R. A.; Kassab, A. J.
9
2008
A spectral method for an axisymmetric backward heat equation. Zbl 1186.65130
Cheng, Wei; Fu, Chu-Li
9
2009
Approximation of the likelihood function in the Bayesian technique for the solution of inverse problems. Zbl 1154.65006
Orlande, Helcio R. B.; Colaço, Marcelo J.; Dulikravich, George S.
9
2008
Abel inversion using total variation regularization: applications. Zbl 1200.65115
Asaki, Thomas J.; Campbell, Patrick R.; Chartrand, Rick; Powell, Collin E.; Vixie, Kevin R.; Wohlberg, Brendt E.
9
2006
A mollification regularization method for the Cauchy problem of an elliptic equation in a multi-dimensional case. Zbl 1206.65224
Cheng, Hao; Feng, Xiao-Li; Fu, Chu-Li
9
2010
Traces of Sturm-Liouville operators with discontinuities. Zbl 1329.34057
Yang, Chuan-Fu
9
2014
A fourth-order compact difference scheme for the parabolic inverse problem with an overspecification at a point. Zbl 1326.65125
Mohebbi, Akbar; Abbasi, Masoume
9
2015
Regularization of an ill-posed problem in corneal topography. Zbl 1308.35326
Płociniczak, Ł.; Okrasiński, W.
9
2013
Robin coefficient identification for a time-fractional diffusion equation. Zbl 1342.65210
Wei, T.; Zhang, Z. Q.
9
2016
Tikhonov regularized Poisson likelihood estimation: theoretical justification and a computational method. Zbl 1258.35206
Bardsley, Johnathan M.; Laobeul, N’djekornom
9
2008
First-order and second-order adjoint methods for parameter identification problems with an application to the elasticity imaging inverse problem. Zbl 1387.92057
Jadamba, Baasansuren; Khan, Akhtar A.; Oberai, Assad A.; Sama, Miguel
9
2017
Simultaneous determination of a time-dependent heat source and the initial temperature in an inverse heat conduction problem. Zbl 1281.65126
Wen, Jin; Yamamoto, Masahiro; Wei, Ting
9
2013
Circular integrating detectors in photo and thermoacoustic tomography. Zbl 1156.92027
Zangerl, Gerhard; Scherzer, Otmar; Haltmeier, Markus
8
2009
Inverse scattering for an impedance cylinder buried in a dielectric cylinder. Zbl 1172.78005
Kress, Rainer; Yaman, Fatih; Yapar, Ali; Akduman, Ibrahim
8
2009
Numerical differentiation and its applications. Zbl 1359.65035
Cheng, J.; Jia, X. Z.; Wang, Y. B.
8
2007
Reconstruction of part of a boundary for the Laplace equation by using a regularized method of fundamental solutions. Zbl 1178.65134
Yang, F. L.; Yan, L.; Wei, T.
8
2009
Direct collocation method for identifying the initial conditions in the inverse wave problem using radial basis functions. Zbl 1428.65036
Wang, Lihua; Wang, Zhen; Qian, Zhihao; Gao, Yukui; Zhou, Yueting
8
2018
Application of the linear sampling method to identify cracks with impedance boundary conditions. Zbl 1267.78036
Ben Hassen, Fahmi; Boukari, Yosra; Haddar, Houssem
8
2013
A uniqueness theorem for inverse nodal problem. Zbl 1202.34034
Koyunbakan, Hikmet; Panakhov, Etibar S.
8
2007
On inverse problems for pseudoparabolic and parabolic equations of filtration. Zbl 1239.35185
Lyubanova, A. Sh.; Tani, A.
8
2011
Stable explicit time marching in well-posed or ill-posed nonlinear parabolic equations. Zbl 1348.65128
Carasso, Alfred S.
8
2016
Approximation of mild solutions of the linear and nonlinear elliptic equations. Zbl 1326.65148
Tuan, Nguyen Huy; Thang, Le Duc; Trong, Dang Duc; Khoa, Vo Anh
8
2015
Identifying Lamé parameters from time-dependent elastic wave measurements. Zbl 1359.74034
Lechleiter, Armin; Schlasche, John W.
8
2017
Inverse problems for the Sturm-Liouville operator with discontinuity. Zbl 1318.34029
Yang, Chuan-Fu
8
2014
Inverse source problem in a one-dimensional evolution linear transport equation with spatially varying coefficients: application to surface water pollution. Zbl 1308.65158
Hamdi, Adel; Mahfoudhi, Imed
8
2013
Shape optimization for Navier-Stokes flow. Zbl 1258.76079
Gao, Z. M.; Ma, Y. C.; Zhuang, H. W.
8
2008
A stable numerical scheme for a time fractional inverse parabolic equation. Zbl 1398.65239
Taghavi, A.; Babaei, A.; Mohammadpour, A.
8
2017
An inverse coefficient identification problem for the bio-heat equation. Zbl 1169.65092
Trucu, Dumitru; Ingham, Derek B.; Lesnic, Daniel
7
2009
Newton’s method for optimal temperature-tracking of glass cooling processes. Zbl 1114.49301
Pinnau, René; Schulze, Alexander
7
2007
A self-adaptive projection-type method for nonlinear multiple-sets split feasibility problem. Zbl 1272.65053
Li, Zhibao; Han, Deren; Zhang, Wenxing
7
2013
An inverse problem of a simultaneous reconstruction of the dielectric constant and conductivity from experimental backscattering data. Zbl 1478.78033
Khoa, Vo Anh; Bidney, Grant W.; Klibanov, Michael V.; Nguyen, Loc H.; Nguyen, Lam H.; Sullivan, Anders J.; Astratov, Vasily N.
3
2021
Identification of the timewise thermal conductivity in a 2D heat equation from local heat flux conditions. Zbl 1473.65166
Huntul, M. J.
3
2021
Some new results for geometric inverse problems with the method of fundamental solutions. Zbl 1473.65161
Carvalho, P. P.; Doubova, A.; Fernández-Cara, E.; de Faria, J. Rocha
3
2021
On the Kohn-Vogelius formulation for solving an inverse source problem. Zbl 1477.31010
Menoret, P.; Hrizi, M.; Novotny, A. A.
2
2021
Lipschitz stability estimate and reconstruction of Lamé parameters in linear elasticity. Zbl 1470.65188
Eberle, S.; Harrach, B.; Meftahi, H.; Rezgui, T.
2
2021
A high order PDE-constrained optimization for the image denoising problem. Zbl 07480115
Afraites, Lekbir; Hadri, Aissam; Laghrib, Amine; Nachaoui, Mourad
2
2021
Determination of a time-dependent potential in the higher-order pseudo-hyperbolic problem. Zbl 07484745
Huntul, M. J.
2
2021
Recovering space-dependent source for a time-space fractional diffusion wave equation by fractional Landweber method. Zbl 1473.65167
Jiang, Su-Zhen; Wu, Yu-Jiang
1
2021
Solution of the three-dimensional inverse elastography problem for parametric classes of inclusions. Zbl 1475.35141
Leonov, Alexander S.; Sharov, Alexander N.; Yagola, Anatoly G.
1
2021
Optimization approach for axisymmetric electric field cloaking and shielding. Zbl 1473.35214
Alekseev, G. V.; Tereshko, D. A.; Shestopalov, Yu. V.
1
2021
A reconstruction of object properties with significant uncertainties. Zbl 1473.35658
Romanovski, M.
1
2021
Guaranteed a posteriori estimation of uncertain data in exterior Neumann problems for Helmholtz equation from inexact indirect observations of their solutions. Zbl 1473.35656
Nakonechnyi, Oleksandr; Podlipenko, Yuri; Shestopalov, Yury
1
2021
A modified quasi-reversibility method for inverse source problem of Poisson equation. Zbl 07480125
Wen, Jin; Huang, Li-Ming; Liu, Zhuan-Xia
1
2021
Nonlinear conjugate gradient method for identifying Young’s modulus of the elasticity imaging inverse problem. Zbl 07480128
Abdelhamid, Talaat; Chen, Rongliang; Alam, Md. Mahbub
1
2021
Inverse nodal problem for a conformable fractional diffusion operator. Zbl 07479285
Çakmak, Yaşar
1
2021
Convexification numerical algorithm for a 2D inverse scattering problem with backscatter data. Zbl 07484730
Truong, Trung; Nguyen, Dinh-Liem; Klibanov, Michael V.
1
2021
A heat polynomial method for inverse cylindrical one-phase Stefan problems. Zbl 07484764
Kassabek, Samat A.; Kharin, Stanislav N.; Suragan, Durvudkhan
1
2021
Accelerated alternating minimization algorithm for Poisson noisy image recovery. Zbl 1465.94015
Padcharoen, Anantachai; Kitkuan, Duangkamon; Kumam, Poom; Rilwan, Jewaidu; Kumam, Wiyada
7
2020
Trace formula and inverse nodal problem for a conformable fractional Sturm-Liouville problem. Zbl 1461.34010
Mortazaasl, H.; Akbarfam, A. Jodayree
6
2020
A robust optimization for damage detection using multiobjective genetic algorithm, neural network and fuzzy decision making. Zbl 1461.90130
Alexandrino, Patricia da Silva Lopes; Gomes, Guilherme Ferreira; Cunha, Sebastião Simões jun.
3
2020
Reconstruction of the heat transfer coefficient at the interface of a bi-material. Zbl 1466.80010
Zhuo, Lijun; Lesnic, Daniel; Meng, Songhe
3
2020
Sensitivity analysis for 3D Maxwell’s equations and its use in the resolution of an inverse medium problem at fixed frequency. Zbl 1486.65228
Darbas, Marion; Heleine, Jérémy; Lohrengel, Stephanie
3
2020
Finite dimensional iteratively regularized Gauss-Newton type methods and application to an inverse problem of the wave tomography with incomplete data range. Zbl 1461.65110
Karabanova, O. V.; Kokurin, M. Yu.; Kozlov, A. I.
3
2020
Inverse source problems for a space-time fractional differential equation. Zbl 1466.35365
Ali, Muhammad; Aziz, Sara; Malik, Salman A.
2
2020
Sensitivity analysis for the active manipulation of Helmholtz fields in 3D. Zbl 1469.78011
Egarguin, Neil Jerome A.; Onofrei, Daniel; Platt, Eric
2
2020
Fourier truncation method for the non-homogeneous time fractional backward heat conduction problem. Zbl 1466.35360
Kokila, J.; Nair, M. T.
2
2020
A new method based on polynomials equipped with a parameter to solve two parabolic inverse problems with a nonlocal boundary condition. Zbl 1475.65105
Hajishafieiha, J.; Abbasbandy, S.
2
2020
Identification of obstacles immersed in a stationary Oseen fluid via boundary measurements. Zbl 1475.65175
Karageorghis, Andreas; Lesnic, Daniel
2
2020
Computing ill-posed time-reversed 2D Navier-Stokes equations, using a stabilized explicit finite difference scheme marching backward in time. Zbl 1475.65102
Carasso, Alfred S.
2
2020
Real-time reconstruction of moving point/dipole wave sources from boundary measurements. Zbl 1479.65004
Ohe, Takashi
2
2020
A numerical scheme based on discrete mollification method using Bernstein basis polynomials for solving the inverse one-dimensional Stefan problem. Zbl 1475.65103
Bodaghi, Soheila; Zakeri, Ali; Amiraslani, Amir
2
2020
The monotonicity method for the inverse crack scattering problem. Zbl 1466.74022
Daimon, Tomohiro; Furuya, Takashi; Saiin, Ryuji
2
2020
Reconstruction of unknown storativity and transmissivity functions in \(2D\) groundwater equations. Zbl 1483.65149
Hamdi, Adel; Jardani, Abderrahim
2
2020
Structural parameter estimation and damage detection using experimental transfer function data. Zbl 1476.70055
Esfandiari, Akbar
1
2020
Numerical differentiation for two-dimensional functions by a Fourier extension method. Zbl 1461.65023
Meng, Zehong; Zhao, Zhenyu; Mei, Duan; Zhou, Yongxiong
1
2020
Damage identification in bridge structures subject to moving vehicle based on extended Kalman filter with \(/1\)-norm regularization. Zbl 1467.74038
Zhang, Chun; Gao, Yu-Wei; Huang, Jin-Peng; Huang, Jie-Zhong; Song, Gu-Quan
1
2020
Shape and distributed parameter estimation for history matching using a modified ensemble Kalman filter and level sets. Zbl 1461.86008
Villegas, Rossmary; Etienam, Clement; Dorn, Oliver; Babaei, Masoud
1
2020
Identification of thermal conductivity for orthotropic FGMs by DT-DRBEM and L-M algorithm. Zbl 1473.65176
Zhou, Huan-Lin; Xiao, Xiong; Chen, Hao-Long; Yu, Bo
1
2020
The two-step method for determining a piecewise-continuous refractive index of a 2D scatterer by near field measurements. Zbl 1461.65213
Medvedik, M. Yu.; Smirnov, Yu. G.; Tsupak, A. A.
1
2020
Recovering the initial condition of parabolic equations from lateral Cauchy data via the quasi-reversibility method. Zbl 1473.65169
Li, Qitong; Nguyen, Loc Hoang
1
2020
Rotating machinery health evaluation by modal force identification. Zbl 1466.74020
Morais, Tobias Souza; Leão, Leandro de Souza; Cavalini, Aldemir Ap jun.; Steffen, Valder Steffen jun.
1
2020
An extended direct factorization method for inverse scattering with limited aperture data. Zbl 1479.65021
Leem, Koung Hee; Liu, Jun; Pelekanos, George
1
2020
Prediction of nonlinear viscoelastic behaviour of simulative soil for deep-sea sediment using a thermodynamically compatible model. Zbl 1465.74036
Sumith, S.; Sangam, K.; Kannan, K.; Shankar, K.
1
2020
On the choice of Lagrange multipliers in the iterated Tikhonov method for linear ill-posed equations in Banach spaces. Zbl 1475.65109
Machado, M. P.; Margotti, F.; Leitão, A.
1
2020
Source strength identification problem for the three-dimensional inverse heat conduction equations. Zbl 1475.65110
Min, Tao; Zang, Shunquan; Chen, Shengnan
1
2020
An improved generalized flexibility matrix approach for structural damage detection. Zbl 1476.70072
Liu, Haifeng; Li, Zhengguang
1
2020
Dynamic analysis and identification of multiple fault parameters in a cracked rotor system equipped with active magnetic bearings: a physical model based approach. Zbl 1466.74021
Sarmah, Nilakshi; Tiwari, Rajiv
1
2020
On the inverse eigenvalue problem for periodic Jacobi matrices. Zbl 1461.65054
Heydari, M.; Fazeli, S. A. Shahzadeh; Karbassi, S. M.; Hooshmandasl, M. R.
1
2020
Constructive solution of the inverse spectral problem for the matrix Sturm-Liouville operator. Zbl 1461.65209
Bondarenko, Natalia P.
1
2020
Analytic series solutions of 2D forward and backward heat conduction problems in rectangles and a new regularization. Zbl 1475.65107
Liu, Chein-Shan; Chang, Chih-Wen
1
2020
Non-iterative two-step method for solving scalar inverse 3D diffraction problem. Zbl 1461.65282
Medvedik, M. Yu.; Smirnov, Yu. G.; Tsupak, A. A.
1
2020
Multidimensional inverse Cauchy problems for evolution equations. Zbl 1466.35368
Karazym, Mukhtar; Ozawa, Tohru; Suragan, Durvudkhan
1
2020
Effective grain orientation mapping of complex and locally anisotropic media for improved imaging in ultrasonic non-destructive testing. Zbl 1466.74023
Tant, K. M. M.; Galetti, E.; Mulholland, A. J.; Curtis, A.; Gachagan, A.
1
2020
Solving generalized inverse eigenvalue problems via L-BFGS-B method. Zbl 1461.65053
Dalvand, Zeynab; Hajarian, Masoud
1
2020
Reconstruction for Sturm-Liouville equations with a constant delay with twin-dense nodal subsets. Zbl 1461.34036
Wang, Yu Ping; Shieh, Chung Tsun; Miao, Hong Yi
4
2019
Numerical reconstruction of brain tumours. Zbl 1466.92090
Jaroudi, Rym; Baravdish, George; Johansson, B. Tomas; Åström, Freddie
4
2019
Deep learning for photoacoustic tomography from sparse data. Zbl 1465.94008
Antholzer, Stephan; Haltmeier, Markus; Schwab, Johannes
3
2019
Reconstruction of a time-dependent source term in a time-fractional diffusion-wave equation. Zbl 1465.65089
Gong, Xuhong; Wei, Ting
3
2019
Simultaneous determination of spatially varying thermal conductivity and specific heat using boundary temperature measurements. Zbl 1466.80007
Reddy, Sohail R.; Dulikravich, George S.
3
2019
Damage detection in beam through change in measured frequency and undamaged curvature mode shape. Zbl 1464.74140
Dahak, Mustapha; Touat, Noureddine; Kharoubi, Mounir
3
2019
Limited-angle acousto-electrical tomography. Zbl 1466.92088
Hubmer, Simon; Knudsen, Kim; Li, Changyou; Sherina, Ekaterina
2
2019
Determination of thermal conductivity of inhomogeneous orthotropic materials from temperature measurements. Zbl 1465.65088
Cao, K.; Lesnic, D.; Colaco, M. J.
2
2019
Haar wavelets multi-resolution collocation analysis of unsteady inverse heat problems. Zbl 1461.65234
Ahsan, Muhammad; Siraj-ul-Islam; Hussain, Iltaf
2
2019
On the reconstruction of inducing dipole directions and susceptibilities from knowledge of the magnetic field on a sphere. Zbl 1460.65022
Gerhards, Christian
2
2019
An efficient Peaceman-Rachford splitting method for constrained TGV-shearlet-based MRI reconstruction. Zbl 1466.92099
Wu, Tingting; Zhang, Wenxing; Wang, David Z. W.; Sun, Yuehong
2
2019
Damage assessment in plate-like structures using a two-stage method based on modal strain energy change and Jaya algorithm. Zbl 1464.74142
Dinh-Cong, D.; Vo-Duy, T.; Ho-Huu, V.; Nguyen-Thoi, T.
2
2019
An adaptive quadrature-based factorization method for inverse acoustic scattering problems. Zbl 1477.65180
Leem, Koung Hee; Liu, Jun; Pelekanos, George
2
2019
Thermal imaging of time-varying longitudinal defects in the internal coating of a tube. Zbl 1464.80015
Inglese, G.; Olmi, R.
2
2019
On the use of the adjoint operator for source reconstruction in particle transport problems. Zbl 1472.65136
Pazinatto, C. B.; Barichello, L. B.
2
2019
Application of active magnetic bearings for in situ flexible rotor residual balancing using a novel generalized influence coefficient method. Zbl 1465.70009
Ranjan, Gyan; Tiwari, Rajiv
1
2019
Parameter estimation for a morphochemical reaction-diffusion model of electrochemical pattern formation. Zbl 1483.65151
Sgura, Ivonne; Lawless, Amos S.; Bozzini, Benedetto
1
2019
Generalized inverse spectral problem for pseudo-Jacobi matrices with mixed eigendata. Zbl 1461.65056
Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang
1
2019
Alternating method based on framelet \(l_0\)-norm and TV regularization for image restoration. Zbl 1465.65121
Liu, Jingjing; Ni, Guoxi; Yan, Shaowen
1
2019
Generalized Lavrentiev-type regularization method for the Cauchy problem of a semi-linear elliptic equation. Zbl 1465.65117
Zhang, Hongwu; Zhang, Xiaoju
1
2019
An iterated IRS technique for cross-sectional damage modelling and identification in beams using limited sensors measurement. Zbl 1466.74037
Hosseinzadeh, Ali Zare; Razzaghi, Seyed Ali Seyed; Amiri, Gholamreza Ghodrati
1
2019
Static damage identification in beams by minimum constitutive relation error. Zbl 1476.70071
Guo, Jia; Wang, Li; Takewaki, Izuru
1
2019
An inverse problem for finding the lowest term of a heat equation with Wentzell-Neumann boundary condition. Zbl 1467.35349
Ismailov, Mansur I.; Tekin, Ibrahim; Erkovan, Sait
1
2019
Stable explicit stepwise marching scheme in ill-posed time-reversed 2D Burgers’ equation. Zbl 1466.65101
Carasso, Alfred S.
1
2019
Inverse spectral problem for Sturm-Liouville operator with coupled eigenparameter-dependent boundary conditions of Atkinson type. Zbl 1461.34038
Zhang, Liang; Ao, Ji-Jun
1
2019
Inverse method identification of thermophysical properties based on solotone effect analysis for discontinuous Sturm-Liouville systems. Zbl 1469.34033
Bason, G. L.
1
2019
The uncertainty analysis in linear and nonlinear regression revisited: application to concrete strength estimation. Zbl 1461.62123
Fernández-Martínez, Luis Juan; Fernández-Muñiz, Zulima; Breysse, Denys
1
2019
Solving inverse nodal problem with spectral parameter in boundary conditions. Zbl 1461.34031
Akbarpoor, Sh.; Koyunbakan, H.; Dabbaghian, A.
1
2019
Simultaneous recovery of an infinite rough surface and the impedance from near-field data. Zbl 1460.65168
Li, Jianliang
1
2019
Application of weighted homotopy analysis method to solve an inverse source problem for wave equation. Zbl 1471.65125
Shajari, P. Sattari; Shidfar, A.
1
2019
Stabilized backward in time explicit marching schemes in the numerical computation of ill-posed time-reversed hyperbolic/parabolic systems. Zbl 1477.65152
Carasso, Alfred S.
1
2019
Nonlinear Tikhonov regularization in Hilbert scales with balancing principle tuning parameter in statistical inverse problems. Zbl 1460.65061
Pricop-Jeckstadt, M.
1
2019
Refinement indicators for estimating hydrogeologic parameters. Zbl 1460.86020
Riahi, M-H.; Ameur, H. Ben; Jaffré, J.; Bouhlila, R.
1
2019
Modified nonlocal boundary value problem method for an ill-posed problem for the biharmonic equation. Zbl 1471.65178
Benrabah, A.; Boussetila, N.
1
2019
Strain analysis by a total generalized variation regularized optical flow model. Zbl 1464.94002
Balle, Frank; Beck, Tilmann; Eifler, Dietmar; Fitschen, Jan Henrik; Schuff, Sebastian; Steidl, Gabriele
1
2019
Comparison of linear and non-linear monotonicity-based shape reconstruction using exact matrix characterizations. Zbl 1391.35417
Garde, Henrik
11
2018
Direct collocation method for identifying the initial conditions in the inverse wave problem using radial basis functions. Zbl 1428.65036
Wang, Lihua; Wang, Zhen; Qian, Zhihao; Gao, Yukui; Zhou, Yueting
8
2018
Landweber iteration regularization method for identifying unknown source on a columnar symmetric domain. Zbl 1409.65066
Yang, Fan; Ren, Yu-Peng; Li, Xiao-Xiao
7
2018
Simultaneous reconstruction of the time-dependent Robin coefficient and heat flux in heat conduction problems. Zbl 1423.35431
Abdelhamid, Talaat; Elsheikh, A. H.; Elazab, Ahmed; Sharshir, S. W.; Selima, Ehab S.; Jiang, Daijun
6
2018
On efficient reconstruction of boundary data with optimal placement of the source points in the MFS: application to inverse Stefan problems. Zbl 1428.65053
Reddy, G. M. M.; Vynnycky, M.; Cuminato, J. A.
4
2018
Inverse spectral problems for Sturm-Liouville operators with complex weights. Zbl 1428.34033
Yurko, Vjacheslav
4
2018
Direct regularization for system of integral-algebraic equations of index-1. Zbl 1454.65193
Farahani, M. S.; Hadizadeh, M.
4
2018
Inclusion boundary reconstruction and sensitivity analysis in electrical impedance tomography. Zbl 1409.92136
Ren, Shangjie; Soleimani, Manuchehr; Xu, Yaoyuan; Dong, Feng
4
2018
A numerical method for determining a quasi solution of a backward time-fractional diffusion equation. Zbl 1409.65064
Salehi Shayegan, A. H.; Zakeri, A.
4
2018
Identification of diffusion parameters in a non-linear convection-diffusion equation using adaptive homotopy perturbation method. Zbl 1388.76260
Liu, Tao; Liu, Songshu
4
2018
An adaptive regularization algorithm for recovering the rate constant distribution from biosensor data. Zbl 1428.65037
Zhang, Y.; Forssén, P.; Fornstedt, T.; Gulliksson, M.; Dai, X.
3
2018
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Cited by 2,919 Authors

56 Lesnic, Daniel
39 Liu, Chein-Shan
32 Yang, Fan
29 Johansson, B. Tomas
26 Li, Xiaoxiao
25 Fu, Chuli
25 Marin, Liviu
23 Karageorghis, Andreas
23 Nguyen Huy Tuan
23 Wei, Ting
20 Gu, Yan
18 Xiong, Xiangtuan
18 Yang, Chuanfu
17 Chen, Wen
17 Khan, Akhtar Ali
16 Bondarenko, Natalia P.
15 Klibanov, Michael V.
15 Weber, Gerhard-Wilhelm
14 Buterin, Sergey Alexandrovich
14 Chapko, Roman
14 Jadamba, Baasansuren
14 Shivanian, Elyas
14 Wang, Yuping
13 Kanca, Fatma
13 Slodička, Marián
12 Fan, Chia-Ming
12 Li, Gongsheng
11 Harrach, Bastian
11 Liu, Jijun
11 Sama, Miguel
11 Shieh, Chung-Tsun
10 Baglan, Irem Sakinc
10 Băleanu, Dumitru I.
10 Orlande, Helcio Rangel Barreto
10 van Bockstal, Karel
10 Yagola, Anatoliĭ Grigor’evich
9 Cheng, Xiaoliang
9 Han, Bo
9 Koyunbakan, Hikmet
9 Liu, Tao
9 Rashedi, Kamal
9 Sun, Shurong
9 Tatar, Salih
9 Wang, Yanfei
9 Yamamoto, Masahiro
9 Zhang, Ye
8 Abbasbandy, Saeid
8 Bin-Mohsin, Bandar
8 Đinh Nho Hào
8 Frankel, Jay I.
8 Hai, Dinh Nguyen Duy
8 Han, Weimin
8 Hon, Yiu-Chung
8 Jafarabadi, Ahmad
8 Jia, Xianzheng
8 Keskin, Baki
8 Liu, Songshu
8 Qian, Zhi
8 Trong, Dang Duc
8 Wang, Jungang
7 Chen, Jeng-Tzong
7 Fu, Zhuojia
7 Gong, Rongfang
7 Grabski, Jakub Krzysztof
7 Hamdi, Adel
7 Kamynin, Vitaly Leonidovich
7 Khanh, Tra Quoc
7 Kolodziej, Jan Adam
7 Li, Po-Wei
7 Malik, Salman A.
7 Pourgholi, Reza
7 Ramlau, Ronny
7 Reeve, Thomas
7 Šarler, Božidar
7 Sun, Chunlong
7 Wang, Fajie
7 Wang, Lihua
7 Zhang, Chuanzeng
6 Berntsson, Fredrik
6 Carasso, Alfred S.
6 Cheng, Hao
6 Cheng, Wei
6 Dehghan Takht Fooladi, Mehdi
6 Dou, Fangfang
6 Feng, Xiaoli
6 Gao, Zhiming
6 Guo, Yukun
6 Han, Zhenlai
6 Hassine, Maatoug
6 Huntul, M. J.
6 Keyhani, Majid
6 Khalili, Yasser
6 Leonov, Aleksandr Sergeevich
6 Li, Zi-Cai
6 Long, Le Dinh
6 Luk’yanenko, Dmitriĭ Vital’evich
6 Lv, Xiaoguang
6 Ma, Yichen
6 Ma, Yunjie
6 Nachaoui, Mourad
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Cited in 291 Journals

360 Inverse Problems in Science and Engineering
126 Engineering Analysis with Boundary Elements
75 Journal of Inverse and Ill-Posed Problems
70 Computers & Mathematics with Applications
66 Journal of Computational and Applied Mathematics
56 Inverse Problems
55 Applied Mathematics and Computation
45 Applied Mathematical Modelling
40 Applicable Analysis
30 Computational and Applied Mathematics
29 Applied Numerical Mathematics
28 Mathematical Problems in Engineering
27 Inverse Problems and Imaging
25 Numerical Algorithms
25 Boundary Value Problems
24 International Journal of Heat and Mass Transfer
24 Journal of Computational Physics
22 Computer Methods in Applied Mechanics and Engineering
18 Applied Mathematics Letters
18 International Journal of Computer Mathematics
18 Advances in Difference Equations
16 Mathematical Methods in the Applied Sciences
16 SIAM Journal on Imaging Sciences
15 International Journal of Computational Methods
14 Journal of Engineering Mathematics
14 Journal of Mathematical Analysis and Applications
14 Mathematics and Computers in Simulation
13 Optimization
13 Computational Mathematics and Mathematical Physics
13 SIAM Journal on Applied Mathematics
11 Journal of Scientific Computing
11 Filomat
11 Journal of Applied Mathematics and Computing
10 Journal of Differential Equations
10 Numerical Functional Analysis and Optimization
10 Computational Mechanics
10 SIAM Journal on Scientific Computing
10 Abstract and Applied Analysis
10 Journal of Inequalities and Applications
10 Advances in Applied Mathematics and Mechanics
9 Numerical Methods for Partial Differential Equations
9 Advances in Computational Mathematics
9 Advances in Mathematical Physics
8 International Journal for Numerical Methods in Engineering
7 Computers and Fluids
7 Physica A
7 SIAM Journal on Mathematical Analysis
7 Computational Optimization and Applications
7 Turkish Journal of Mathematics
7 Computational Geosciences
7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
6 Chaos, Solitons and Fractals
6 Communications in Nonlinear Science and Numerical Simulation
6 Journal of Function Spaces
6 International Journal of Applied and Computational Mathematics
6 AIMS Mathematics
5 Wave Motion
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Automatica
5 BIT
5 Journal of Optimization Theory and Applications
5 Results in Mathematics
5 Acta Applicandae Mathematicae
5 Journal of Global Optimization
5 Journal of Mathematical Imaging and Vision
5 International Journal of Numerical Methods for Heat & Fluid Flow
5 European Journal of Mechanics. A. Solids
5 Optimization and Engineering
5 Differential Equations
5 Journal of Applied Mathematics
5 Journal of Industrial and Management Optimization
5 Discrete and Continuous Dynamical Systems. Series S
5 Asian-European Journal of Mathematics
5 Analysis and Mathematical Physics
5 Computational Methods for Differential Equations
5 Journal of Applied Mathematics and Computational Mechanics
4 Acta Mechanica
4 International Journal of Engineering Science
4 Numerische Mathematik
4 Quarterly of Applied Mathematics
4 SIAM Journal on Numerical Analysis
4 Cybernetics and Systems Analysis
4 Applied Mathematics. Series B (English Edition)
4 Fractional Calculus & Applied Analysis
4 International Journal of Applied Mathematics and Computer Science
4 Nonlinear Analysis. Real World Applications
4 Mathematical Modelling and Analysis
4 Mathematical Sciences
3 International Journal of Solids and Structures
3 Journal of the Franklin Institute
3 Journal of Mathematical Physics
3 Ukrainian Mathematical Journal
3 Bulletin of the Iranian Mathematical Society
3 Mathematical and Computer Modelling
3 Journal of Integral Equations and Applications
3 Japan Journal of Industrial and Applied Mathematics
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Mathematics and Mechanics of Solids
3 International Journal of Computational Fluid Dynamics
3 Optimization Methods & Software
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Cited in 44 Fields

1,157 Numerical analysis (65-XX)
908 Partial differential equations (35-XX)
249 Mechanics of deformable solids (74-XX)
218 Classical thermodynamics, heat transfer (80-XX)
188 Operator theory (47-XX)
184 Ordinary differential equations (34-XX)
154 Fluid mechanics (76-XX)
110 Biology and other natural sciences (92-XX)
109 Optics, electromagnetic theory (78-XX)
106 Calculus of variations and optimal control; optimization (49-XX)
101 Operations research, mathematical programming (90-XX)
87 Integral equations (45-XX)
70 Statistics (62-XX)
67 Information and communication theory, circuits (94-XX)
60 Geophysics (86-XX)
54 Systems theory; control (93-XX)
48 Computer science (68-XX)
47 Real functions (26-XX)
41 Integral transforms, operational calculus (44-XX)
30 Probability theory and stochastic processes (60-XX)
23 Linear and multilinear algebra; matrix theory (15-XX)
19 Mechanics of particles and systems (70-XX)
18 Potential theory (31-XX)
17 Statistical mechanics, structure of matter (82-XX)
16 Harmonic analysis on Euclidean spaces (42-XX)
14 Special functions (33-XX)
14 Approximations and expansions (41-XX)
10 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Functional analysis (46-XX)
7 Astronomy and astrophysics (85-XX)
6 Dynamical systems and ergodic theory (37-XX)
6 Global analysis, analysis on manifolds (58-XX)
5 Difference and functional equations (39-XX)
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4 History and biography (01-XX)
4 Differential geometry (53-XX)
3 Functions of a complex variable (30-XX)
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1 Number theory (11-XX)
1 Field theory and polynomials (12-XX)
1 Convex and discrete geometry (52-XX)
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