## 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) 29, No. 8 (2021) 29, No. 7 (2021) 29, No. 6 (2021) 29, No. 5 (2021) 29, No. 4 (2021) 29, No. 3 (2021) 29, No. 2 (2021) 29, No. 1 (2021) 28, No. 12 (2020) 28, No. 11 (2020) 28, No. 10 (2020) 28, No. 9 (2020) 28, No. 8 (2020) 28, No. 7 (2020) 28, No. 6 (2020) 28, No. 5 (2020) 28, No. 4 (2020) 28, No. 3 (2020) 28, No. 2 (2020) 28, No. 1 (2020) 27, No. 12 (2019) 27, No. 11 (2019) 27, No. 10 (2019) 27, No. 9 (2019) 27, No. 8 (2019) 27, No. 7 (2019) 27, No. 6 (2019) 27, No. 5 (2019) 27, No. 4 (2019) 27, No. 3 (2019) 27, No. 2 (2019) 27, No. 1 (2019) 26, No. 12 (2018) 26, No. 11 (2018) 26, No. 10 (2018) 26, No. 9 (2018) 26, No. 8 (2018) 26, No. 7 (2018) 26, No. 6 (2018) 26, No. 5 (2018) 26, No. 4 (2018) 26, No. 3 (2018) 26, No. 2 (2018) 26, No. 1 (2018) 25, No. 12 (2017) 25, No. 11 (2017) 25, No. 10 (2017) 25, No. 9 (2017) 25, No. 8 (2017) 25, No. 7 (2017) 25, No. 6 (2017) 25, No. 5 (2017) 25, No. 4 (2017) 25, No. 3 (2017) 25, No. 2 (2017) 25, No. 1 (2017) 24, No. 9 (2016) 24, No. 8 (2016) 24, No. 7 (2016) 24, No. 6 (2016) 24, No. 5 (2016) 24, No. 4 (2016) 23, No. 8 (2015) 23, No. 7 (2015) 23, No. 6 (2015) 23, No. 5 (2015) 23, No. 4 (2015) 23, No. 3 (2015) 23, No. 2 (2015) 23, No. 1 (2015) 22, No. 8 (2014) 22, No. 7 (2014) 22, No. 6 (2014) 22, No. 5 (2014) 22, No. 4 (2014) 22, No. 3 (2014) 22, No. 2 (2014) 22, No. 1 (2014) 21, No. 8 (2013) 21, No. 7 (2013) 21, No. 6 (2013) 21, No. 5 (2013) 21, No. 4 (2013) 21, No. 3 (2013) 21, No. 2 (2013) 21, No. 1 (2013) 20, No. 7 (2012) 20, No. 5 (2012) 20, No. 4 (2012) 20, No. 3 (2012) 20, No. 2 (2012) 20, No. 1 (2012) 19, No. 8 (2011) 19, No. 7 (2011) 19, No. 6 (2011) ...and 49 more Volumes
all top 5

### 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 2,099 more Authors
all top 5

### 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)

### Citations contained in zbMATH Open

642 Publications have been cited 2,773 times in 2,004 Documents Cited by Year
A survey of applications of the MFS to inverse problems. Zbl 1220.65157
Karageorghis, A.; Lesnic, D.; Marin, L.
2011
The method of fundamental solutions for the backward heat conduction problem. Zbl 1194.80107
Mera, N. S.
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
2010
Generalized finite difference method for solving two-dimensional inverse Cauchy problems. Zbl 1329.65257
Fan, Chia-Ming; Li, Po-Wei; Yeih, Weichung
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
2012
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.
2009
A simple projection method for solving the multiple-sets split feasibility problem. Zbl 1285.65038
Zhao, Jinling; Yang, Qingzhi
2013
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.
2008
Stable numerical evaluation of Grünwald-Letnikov fractional derivatives applied to a fractional IHCP. Zbl 1159.65313
Murio, Diego A.
2009
Reconstruction of a moving boundary from Cauchy data in one-dimensional heat equation. Zbl 1165.65387
Wei, T.; Yamamoto, M.
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.
2012
Inverse problems for discontinuous Sturm-Liouville operators with mixed spectral data. Zbl 1326.34034
Wang, Yu Ping
2015
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.
2010
Detection of cavities using the method of fundamental solutions. Zbl 1175.65130
Karageorghis, A.; Lesnic, D.
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.
2014
Identifying an unknown source term in a heat equation. Zbl 1183.65116
Dou, Fang-Fang; Fu, Chu-Li; Yang, Fan
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
2012
Numerical solution of two-dimensional inverse force function in the wave equation with nonlocal boundary conditions. Zbl 1398.65237
2017
The method of fundamental solutions for the inverse conductivity problem. Zbl 1194.65139
Karageorghis, A.; Lesnic, D.
2010
Inverse source identification for Poisson equation. Zbl 1194.65130
Ling, Leevan; Hon, Y. C.; Yamamoto, M.
2005
Inverse nodal problems for Sturm-Liouville equation with polynomially dependent on the eigenparameter. Zbl 1248.34013
Yang, Chuan-Fu; Yang, Xiao-Ping
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
2015
A numerical method for solving a nonlinear inverse parabolic problem. Zbl 1207.65116
Pourgholi, R.; Rostamian, M.; Emamjome, M.
2010
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
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
2011
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
2014
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.
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
2014
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
2013
Projected Barzilai-Borwein method for large-scale nonnegative image restoration. Zbl 1202.94077
Wang, Yanfei; Ma, Shiqian
2007
Boundary particle method for Cauchy inhomogeneous potential problems. Zbl 1242.65227
Fu, Zhuojia; Chen, Wen; Zhang, Chuanzeng
2012
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.
2008
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
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
2014
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
2015
Determining magnitude of groundwater pollution sources by data compatibility analysis. Zbl 1194.76269
Li, G. S.; Tan, Y. J.; Cheng, J.; Wang, X. Q.
2006
Recovery of a space-dependent vector source in thermoelastic systems. Zbl 1329.65214
Van Bockstal, K.; Slodička, M.
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.
2008
On the half inverse spectral problem for an integro-differential operator. Zbl 1390.45022
Buterin, S. A.; Sat, M.
2017
Optimal modified method for a fractional-diffusion inverse heat conduction problem. Zbl 1195.65125
Qian, Zhi
2010
A homotopy method for the inversion of a two-dimensional acoustic wave equation. Zbl 1194.76262
Han, B.; Fu, H. S.; Li, Z.
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.
2006
A modified method for determining the surface heat flux of IHCP. Zbl 1202.80017
Qian, Z.; Fu, C.-L.; Xiong, X.-T.
2007
Inverse heat conduction problems with boundary and final time measured output data. Zbl 1241.35218
Hasanov, Alemdar; Otelbaev, Muhtarbay; Akpayev, Bakytzhan
2011
Inversion of weighted Radon transforms via finite Fourier series weight approximations. Zbl 1329.65326
Guillement, J.-P.; Novikov, R. G.
2014
Identification of point sources in two-dimensional advection-diffusion-reaction equation: application to pollution sources in a river. Stationary case. Zbl 1258.76151
2007
Comparison of linear and non-linear monotonicity-based shape reconstruction using exact matrix characterizations. Zbl 1391.35417
Garde, Henrik
2018
Regularization of an autoconvolution problem in ultrashort laser pulse characterization. Zbl 1304.47013
Gerth, Daniel; Hofmann, Bernd; Birkholz, Simon; Koke, Sebastian; Steinmeyer, Günter
2014
A nonlinear integral equation method for the inverse scattering problem by sound-soft rough surfaces. Zbl 1326.65182
Li, Jianliang; Sun, Guanying
2015
A modified Tikhonov regularization method for a backward heat equation. Zbl 1244.65136
Zhao, Zhenyu; Meng, Zehong
2011
Finding a control parameter in a one-dimensional parabolic inverse problem by using the Bernstein Galerkin method. Zbl 1175.65109
Yousefi, S. A.
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
2011
Reconstruction formula for the potential function of Sturm-Liouville problem with eigenparameter boundary condition. Zbl 1187.34017
Panakhov, Etibar S.; Koyunbakan, Hikmet; Ic, Unal
2010
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
2010
A semi-inverse problem of flows of fluids with pressure-dependent viscosities. Zbl 1258.76080
Rajagopal, K. R.
2008
A meshless method for an inverse two-phase one-dimensional linear Stefan problem. Zbl 1267.80011
Johansson, B. Tomas; Lesnic, Daniel; Reeve, Thomas
2013
A parallel radial bisection algorithm for inverse scattering problems. Zbl 1269.65116
Liu, Keji; Xu, Yongzhi; Zou, Jun
2013
Inverse nodal problems for Sturm-Liouville equation with eigenparameter-dependent boundary and jump conditions. Zbl 1326.34033
Sinan Ozkan, A.; Keskin, Baki
2015
A local meshless method for Cauchy problem of elliptic PDEs in annulus domains. Zbl 1342.65209
2016
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
2014
A new improved regularization method for dynamic load identification. Zbl 1321.65196
Sun, Xingsheng; Liu, Jie; Han, Xu; Jiang, Chao; Chen, Rui
2014
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.
2013
On the identification of star-shape sources from boundary measurements using a reciprocity functional. Zbl 1166.65392
Roberty, N. C.; Alves, C. J. S.
2009
Fast reconstruction of harmonic functions from Cauchy data using integral equation techniques. Zbl 1190.65147
Helsing, Johan; Johansson, B. Tomas
2010
Singular boundary method for inverse heat conduction problems in general anisotropic media. Zbl 1329.65284
Gu, Yan; Chen, Wen; Fu, Zhuo-Jia
2014
Determination of a differential operator with discontinuity from interior spectral data. Zbl 1329.34039
Neamaty, A.; Khalili, Y.
2014
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
2013
Identifying an unknown source term in radial heat conduction. Zbl 1258.65085
Cheng, Wei; Ma, Yun-Jie; Fu, Chu-Li
2012
Image restoration using $$L_1$$ norm penalty function. Zbl 1258.94013
Agarwal, Vivek; Gribok, Andrei V.; Abidi, Mongi A.
2007
Solving ill-conditioned linear algebraic systems by the dynamical systems method. Zbl 1258.65036
Hoang, N. S.; Ramm, A. G.
2008
First-order and second-order adjoint methods for parameter identification problems with an application to the elasticity imaging inverse problem. Zbl 1387.92057
2017
A spectral method for an axisymmetric backward heat equation. Zbl 1186.65130
Cheng, Wei; Fu, Chu-Li
2009
Regularization of an ill-posed problem in corneal topography. Zbl 1308.35326
Płociniczak, Ł.; Okrasiński, W.
2013
A fourth-order compact difference scheme for the parabolic inverse problem with an overspecification at a point. Zbl 1326.65125
Mohebbi, Akbar; Abbasi, Masoume
2015
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.
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
2010
Robin coefficient identification for a time-fractional diffusion equation. Zbl 1342.65210
Wei, T.; Zhang, Z. Q.
2016
Solving inverse heat conduction problems using trained POD-RBF network inverse method. Zbl 1158.35433
Ostrowski, Z.; Białecki, R. A.; Kassab, A. J.
2008
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.
2008
Traces of Sturm-Liouville operators with discontinuities. Zbl 1329.34057
Yang, Chuan-Fu
2014
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
2013
Tikhonov regularized Poisson likelihood estimation: theoretical justification and a computational method. Zbl 1258.35206
Bardsley, Johnathan M.; Laobeul, N’djekornom
2008
A stable numerical scheme for a time fractional inverse parabolic equation. Zbl 1398.65239
Taghavi, A.; Babaei, A.; Mohammadpour, A.
2017
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.
2009
Inverse problems for the Sturm-Liouville operator with discontinuity. Zbl 1318.34029
Yang, Chuan-Fu
2014
Inverse source problem in a one-dimensional evolution linear transport equation with spatially varying coefficients: application to surface water pollution. Zbl 1308.65158
2013
A uniqueness theorem for inverse nodal problem. Zbl 1202.34034
Koyunbakan, Hikmet; Panakhov, Etibar S.
2007
Identifying Lamé parameters from time-dependent elastic wave measurements. Zbl 1359.74034
Lechleiter, Armin; Schlasche, John W.
2017
On inverse problems for pseudoparabolic and parabolic equations of filtration. Zbl 1239.35185
Lyubanova, A. Sh.; Tani, A.
2011
Numerical differentiation and its applications. Zbl 1359.65035
Cheng, J.; Jia, X. Z.; Wang, Y. B.
2007
Stable explicit time marching in well-posed or ill-posed nonlinear parabolic equations. Zbl 1348.65128
Carasso, Alfred S.
2016
Circular integrating detectors in photo and thermoacoustic tomography. Zbl 1156.92027
Zangerl, Gerhard; Scherzer, Otmar; Haltmeier, Markus
2009
Inverse scattering for an impedance cylinder buried in a dielectric cylinder. Zbl 1172.78005
Kress, Rainer; Yaman, Fatih; Yapar, Ali; Akduman, Ibrahim
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
2018
Shape optimization for Navier-Stokes flow. Zbl 1258.76079
Gao, Z. M.; Ma, Y. C.; Zhuang, H. W.
2008
Application of the linear sampling method to identify cracks with impedance boundary conditions. Zbl 1267.78036
Ben Hassen, Fahmi; Boukari, Yosra; Haddar, Houssem
2013
Inverse scattering with fixed observation angle data in 2D. Zbl 1390.35213
Fotopoulos, Georgios; Harju, Markus
2017
Accelerated alternating minimization algorithm for Poisson noisy image recovery. Zbl 1465.94015
2020
An approach to numerical solution of some inverse problems for parabolic equations. Zbl 1312.65150
Aida-Zade, K. R.; Rahimov, A. B.
2014
The method of fundamental solutions for the two-dimensional inverse Stefan problem. Zbl 1304.65214
Johansson, B. Tomas; Lesnic, Daniel; Reeve, Thomas
2014
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.
2021
Identification of the timewise thermal conductivity in a 2D heat equation from local heat flux conditions. Zbl 1473.65166
Huntul, M. J.
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
2021
A high order PDE-constrained optimization for the image denoising problem. Zbl 07480115
2021
Determination of a time-dependent potential in the higher-order pseudo-hyperbolic problem. Zbl 07484745
Huntul, M. J.
2021
Lipschitz stability estimate and reconstruction of Lamé parameters in linear elasticity. Zbl 1470.65188
Eberle, S.; Harrach, B.; Meftahi, H.; Rezgui, T.
2021
A modified quasi-reversibility method for inverse source problem of Poisson equation. Zbl 07480125
Wen, Jin; Huang, Li-Ming; Liu, Zhuan-Xia
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
2021
Inverse nodal problem for a conformable fractional diffusion operator. Zbl 07479285
Çakmak, Yaşar
2021
Convexification numerical algorithm for a 2D inverse scattering problem with backscatter data. Zbl 07484730
Truong, Trung; Nguyen, Dinh-Liem; Klibanov, Michael V.
2021
A heat polynomial method for inverse cylindrical one-phase Stefan problems. Zbl 07484764
Kassabek, Samat A.; Kharin, Stanislav N.; Suragan, Durvudkhan
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
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.
2021
Optimization approach for axisymmetric electric field cloaking and shielding. Zbl 1473.35214
Alekseev, G. V.; Tereshko, D. A.; Shestopalov, Yu. V.
2021
On the Kohn-Vogelius formulation for solving an inverse source problem. Zbl 1477.31010
Menoret, P.; Hrizi, M.; Novotny, A. A.
2021
A reconstruction of object properties with significant uncertainties. Zbl 1473.35658
Romanovski, M.
2021
Accelerated alternating minimization algorithm for Poisson noisy image recovery. Zbl 1465.94015
2020
Trace formula and inverse nodal problem for a conformable fractional Sturm-Liouville problem. Zbl 1461.34010
Mortazaasl, H.; Akbarfam, A. Jodayree
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.
2020
Reconstruction of the heat transfer coefficient at the interface of a bi-material. Zbl 1466.80010
Zhuo, Lijun; Lesnic, Daniel; Meng, Songhe
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
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.
2020
Inverse source problems for a space-time fractional differential equation. Zbl 1466.35365
Ali, Muhammad; Aziz, Sara; Malik, Salman A.
2020
Sensitivity analysis for the active manipulation of Helmholtz fields in 3D. Zbl 1469.78011
Egarguin, Neil Jerome A.; Onofrei, Daniel; Platt, Eric
2020
Fourier truncation method for the non-homogeneous time fractional backward heat conduction problem. Zbl 1466.35360
Kokila, J.; Nair, M. T.
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.
2020
Identification of obstacles immersed in a stationary Oseen fluid via boundary measurements. Zbl 1475.65175
Karageorghis, Andreas; Lesnic, Daniel
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.
2020
Real-time reconstruction of moving point/dipole wave sources from boundary measurements. Zbl 1479.65004
Ohe, Takashi
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
2020
The monotonicity method for the inverse crack scattering problem. Zbl 1466.74022
Daimon, Tomohiro; Furuya, Takashi; Saiin, Ryuji
2020
Reconstruction of unknown storativity and transmissivity functions in $$2D$$ groundwater equations. Zbl 1483.65149
2020
Structural parameter estimation and damage detection using experimental transfer function data. Zbl 1476.70055
Esfandiari, Akbar
2020
Numerical differentiation for two-dimensional functions by a Fourier extension method. Zbl 1461.65023
Meng, Zehong; Zhao, Zhenyu; Mei, Duan; Zhou, Yongxiong
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
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
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
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.
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
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.
2020
An extended direct factorization method for inverse scattering with limited aperture data. Zbl 1479.65021
Leem, Koung Hee; Liu, Jun; Pelekanos, George
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.
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.
2020
Source strength identification problem for the three-dimensional inverse heat conduction equations. Zbl 1475.65110
Min, Tao; Zang, Shunquan; Chen, Shengnan
2020
An improved generalized flexibility matrix approach for structural damage detection. Zbl 1476.70072
Liu, Haifeng; Li, Zhengguang
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
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.
2020
Constructive solution of the inverse spectral problem for the matrix Sturm-Liouville operator. Zbl 1461.65209
Bondarenko, Natalia P.
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
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.
2020
Multidimensional inverse Cauchy problems for evolution equations. Zbl 1466.35368
Karazym, Mukhtar; Ozawa, Tohru; Suragan, Durvudkhan
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.
2020
Solving generalized inverse eigenvalue problems via L-BFGS-B method. Zbl 1461.65053
Dalvand, Zeynab; Hajarian, Masoud
2020
Numerical reconstruction of brain tumours. Zbl 1466.92090
Jaroudi, Rym; Baravdish, George; Johansson, B. Tomas; Åström, Freddie
2019
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
2019
Damage detection in beam through change in measured frequency and undamaged curvature mode shape. Zbl 1464.74140
Dahak, Mustapha; Touat, Noureddine; Kharoubi, Mounir
2019
Deep learning for photoacoustic tomography from sparse data. Zbl 1465.94008
Antholzer, Stephan; Haltmeier, Markus; Schwab, Johannes
2019
Reconstruction of a time-dependent source term in a time-fractional diffusion-wave equation. Zbl 1465.65089
Gong, Xuhong; Wei, Ting
2019
Simultaneous determination of spatially varying thermal conductivity and specific heat using boundary temperature measurements. Zbl 1466.80007
Reddy, Sohail R.; Dulikravich, George S.
2019
On the reconstruction of inducing dipole directions and susceptibilities from knowledge of the magnetic field on a sphere. Zbl 1460.65022
Gerhards, Christian
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
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.
2019
An adaptive quadrature-based factorization method for inverse acoustic scattering problems. Zbl 1477.65180
Leem, Koung Hee; Liu, Jun; Pelekanos, George
2019
Thermal imaging of time-varying longitudinal defects in the internal coating of a tube. Zbl 1464.80015
Inglese, G.; Olmi, R.
2019
On the use of the adjoint operator for source reconstruction in particle transport problems. Zbl 1472.65136
Pazinatto, C. B.; Barichello, L. B.
2019
Limited-angle acousto-electrical tomography. Zbl 1466.92088
Hubmer, Simon; Knudsen, Kim; Li, Changyou; Sherina, Ekaterina
2019
Determination of thermal conductivity of inhomogeneous orthotropic materials from temperature measurements. Zbl 1465.65088
Cao, K.; Lesnic, D.; Colaco, M. J.
2019
Haar wavelets multi-resolution collocation analysis of unsteady inverse heat problems. Zbl 1461.65234
2019
Application of weighted homotopy analysis method to solve an inverse source problem for wave equation. Zbl 1471.65125
Shajari, P. Sattari; Shidfar, A.
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.
2019
Nonlinear Tikhonov regularization in Hilbert scales with balancing principle tuning parameter in statistical inverse problems. Zbl 1460.65061
2019
Refinement indicators for estimating hydrogeologic parameters. Zbl 1460.86020
Riahi, M-H.; Ameur, H. Ben; Jaffré, J.; Bouhlila, R.
2019
Modified nonlocal boundary value problem method for an ill-posed problem for the biharmonic equation. Zbl 1471.65178
Benrabah, A.; Boussetila, N.
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
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
2019
Parameter estimation for a morphochemical reaction-diffusion model of electrochemical pattern formation. Zbl 1483.65151
Sgura, Ivonne; Lawless, Amos S.; Bozzini, Benedetto
2019
Generalized inverse spectral problem for pseudo-Jacobi matrices with mixed eigendata. Zbl 1461.65056
Xu, Wei-Ru; Bebiano, Natália; Chen, Guo-Liang
2019
Alternating method based on framelet $$l_0$$-norm and TV regularization for image restoration. Zbl 1465.65121
Liu, Jingjing; Ni, Guoxi; Yan, Shaowen
2019
Generalized Lavrentiev-type regularization method for the Cauchy problem of a semi-linear elliptic equation. Zbl 1465.65117
Zhang, Hongwu; Zhang, Xiaoju
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
2019
Static damage identification in beams by minimum constitutive relation error. Zbl 1476.70071
Guo, Jia; Wang, Li; Takewaki, Izuru
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
2019
Stable explicit stepwise marching scheme in ill-posed time-reversed 2D Burgers’ equation. Zbl 1466.65101
Carasso, Alfred S.
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
2019
Inverse method identification of thermophysical properties based on solotone effect analysis for discontinuous Sturm-Liouville systems. Zbl 1469.34033
Bason, G. L.
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
2019
Solving inverse nodal problem with spectral parameter in boundary conditions. Zbl 1461.34031
Akbarpoor, Sh.; Koyunbakan, H.; Dabbaghian, A.
2019
Comparison of linear and non-linear monotonicity-based shape reconstruction using exact matrix characterizations. Zbl 1391.35417
Garde, Henrik
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
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
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
2018
Identification of diffusion parameters in a non-linear convection-diffusion equation using adaptive homotopy perturbation method. Zbl 1388.76260
Liu, Tao; Liu, Songshu
2018
Direct regularization for system of integral-algebraic equations of index-1. Zbl 1454.65193
2018
Inclusion boundary reconstruction and sensitivity analysis in electrical impedance tomography. Zbl 1409.92136
Ren, Shangjie; Soleimani, Manuchehr; Xu, Yaoyuan; Dong, Feng
2018
Inverse spectral problems for Sturm-Liouville operators with complex weights. Zbl 1428.34033
Yurko, Vjacheslav
2018
Quality assurance of Gaver’s formula for multi-precision Laplace transform inversion in real case. Zbl 1398.65361
D&rsquo;Amore, Luisa; Mele, Valeria; Campagna, Rosanna
2018
Robin-Dirichlet algorithms for the Cauchy problem for the Helmholtz equation. Zbl 1409.65085
Berntsson, Fredrik; Kozlov, Vladimir; Mpinganzima, Lydie; Turesson, Bengt Ove
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.
2018
Mathematical investigation of the error self-compensation mechanism in optical coating technology. Zbl 1409.74017
Tikhonravov, Alexander; Kochikov, Igor; Yagola, Anatoly
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.
2018
...and 542 more Documents
all top 5

### Cited by 2,910 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 Orlande, Helcio Rangel Barreto 10 van Bockstal, Karel 10 Yagola, Anatoliĭ Grigor’evich 9 Băleanu, Dumitru I. 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 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 8 Zhang, Ye 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 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 6 Ngoc, Tran Bao ...and 2,810 more Authors
all top 5

### Cited in 290 Journals

 360 Inverse Problems in Science and Engineering 126 Engineering Analysis with Boundary Elements 72 Journal of Inverse and Ill-Posed Problems 69 Computers & Mathematics with Applications 64 Journal of Computational and Applied Mathematics 56 Inverse Problems 55 Applied Mathematics and Computation 45 Applied Mathematical Modelling 38 Applicable Analysis 30 Computational and Applied Mathematics 29 Applied Numerical Mathematics 28 Mathematical Problems in Engineering 27 Inverse Problems and Imaging 25 Numerical Algorithms 24 International Journal of Heat and Mass Transfer 24 Journal of Computational Physics 24 Boundary Value Problems 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 15 International Journal of Computational Methods 15 SIAM Journal on Imaging Sciences 14 Journal of Engineering Mathematics 14 Journal of Mathematical Analysis and Applications 14 Mathematics and Computers in Simulation 13 Optimization 13 SIAM Journal on Applied Mathematics 12 Computational Mathematics and Mathematical Physics 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 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 3 Journal of Applied Statistics ...and 190 more Journals
all top 5

### Cited in 44 Fields

 1,150 Numerical analysis (65-XX) 899 Partial differential equations (35-XX) 249 Mechanics of deformable solids (74-XX) 218 Classical thermodynamics, heat transfer (80-XX) 187 Operator theory (47-XX) 181 Ordinary differential equations (34-XX) 151 Fluid mechanics (76-XX) 110 Biology and other natural sciences (92-XX) 107 Optics, electromagnetic theory (78-XX) 105 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) 66 Information and communication theory, circuits (94-XX) 60 Geophysics (86-XX) 54 Systems theory; control (93-XX) 47 Computer science (68-XX) 46 Real functions (26-XX) 41 Integral transforms, operational calculus (44-XX) 29 Probability theory and stochastic processes (60-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 19 Mechanics of particles and systems (70-XX) 17 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) 5 Quantum theory (81-XX) 4 History and biography (01-XX) 4 Differential geometry (53-XX) 3 Functions of a complex variable (30-XX) 3 General topology (54-XX) 2 Measure and integration (28-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Convex and discrete geometry (52-XX) 1 Mathematics education (97-XX)