## Journal of Inverse and Ill-Posed Problems

 Short Title: J. Inverse Ill-Posed Probl. Publisher: De Gruyter, Berlin ISSN: 0928-0219; 1569-3945/e Online: http://www.degruyter.com/view/j/jiip Comments: Indexed cover-to-cover
 Documents Indexed: 1,334 Publications (since 1993) References Indexed: 758 Publications with 15,367 References.
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### Latest Issues

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### Authors

 56 Kabanikhin, Sergeĭ Igorevich 42 Lorenzi, Alfredo 41 Anikonov, Yuriĭ Evgenievich 33 Yamamoto, Masahiro 31 Romanov, Vladimir Gavrilovich 25 Banks, Harvey Thomas 23 Yagola, Anatoliĭ Grigor’evich 22 Ramm, Alexander G. 18 Klibanov, Michael V. 18 Vasin, Vladimir Vasil’evich 16 Bakushinskĭ, Anatoliĭ Borisovich B. 16 Shishlenin, Maxim Aleksandrovich 16 Smirnova, Alexandra B. 16 Yurko, Vjacheslav Anatoljevich 15 Neubauer, Andreas 14 Đinh Nho Hào 14 Hasanoǧlu, Alemdar 14 Hofmann, Bernd 14 Ikehata, Masaru 13 Denisov, Alexander Mikhailovich 12 Yang, Chuanfu 11 Belishev, Mikhail Igorevitch 11 Lesnic, Daniel 10 Bukhgeǐm, Alexandre L. 10 Cheng, Jin 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 Nakamura, Gen 9 Scherzer, Otmar 8 Alekseev, Gennady V. 8 Flemming, Jens 8 He, Sailing 8 Nair, M. Thamban 8 Neshchadim, Mikhail Vladimirovich 8 Novikov, Roman G. 8 Triggiani, Roberto 8 Wang, Yanfei 7 Bondarenko, Natalia P. 7 Choulli, Mourad 7 George, Santhosh 7 Kaltenbacher, Barbara 7 Kress, Rainer 7 Krivorotko, Olga I. 7 Louis, Alfred Karl 7 Piskarëv, S. I. 7 Ramlau, Ronny 7 von Wolfersdorf, Lothar 6 Bardakov, Valeriĭ Georgievich 6 Blagovestchenskiĭ, Aleksandr Sergeevich 6 Engl, Heinz W. 6 Kazantsev, Sergeĭ Gavrilovich 6 Maass, Peter 6 Mathé, Peter 6 Messina, Francesca 6 Pandolfi, Luciano 6 Tautenhahn, Ulrich 6 Vessella, Sergio 5 Ageev, Aleksandr Leonidovich 5 Alessandrini, Giovanni 5 Anikonov, Dmitriĭ Sergeevich 5 Avdonin, Sergeĭ Anatol’evich 5 Ayupova, Natalia Borisovna 5 Beilina, Larisa 5 Bugueva, T. V. 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 Nguyen Huy Tuan 5 Nurseitov, Daniyar B. 5 Pereverzev, Sergei V. 5 Priimenko, Viatcheslav I. 5 Prokhorov, Igor’ Vasil’evich 5 Regińska, Teresa 5 Serovaĭskiĭ, Simon Ya. 5 Sharafutdinov, Vladimir A. 5 Titarenko, Valery N. 5 Trong, Dang Duc 5 Xu, Xiaochuan 5 Yan, Guozheng 5 Zirilli, Francesco 4 Abasheeva, N. L. 4 Antonova, Tat’yana Vladimirovna 4 Bukhgeim, Alexander A. 4 Buterin, Sergey Alexandrovich 4 Cheng, Xiaoliang ...and 1,305 more Authors
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### Fields

 773 Partial differential equations (35-XX) 562 Numerical analysis (65-XX) 238 Operator theory (47-XX) 130 Integral equations (45-XX) 120 Ordinary differential equations (34-XX) 88 Mechanics of deformable solids (74-XX) 87 Calculus of variations and optimal control; optimization (49-XX) 83 Biology and other natural sciences (92-XX) 75 Optics, electromagnetic theory (78-XX) 66 Integral transforms, operational calculus (44-XX) 62 Geophysics (86-XX) 56 Fluid mechanics (76-XX) 55 Systems theory; control (93-XX) 35 Operations research, mathematical programming (90-XX) 33 Potential theory (31-XX) 31 Classical thermodynamics, heat transfer (80-XX) 27 Statistics (62-XX) 26 Information and communication theory, circuits (94-XX) 25 Differential geometry (53-XX) 24 Harmonic analysis on Euclidean spaces (42-XX) 20 Computer science (68-XX) 20 Quantum theory (81-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Probability theory and stochastic processes (60-XX) 15 History and biography (01-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Functions of a complex variable (30-XX) 12 General and overarching topics; collections (00-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Functional analysis (46-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Approximations and expansions (41-XX) 8 Special functions (33-XX) 7 Real functions (26-XX) 4 Convex and discrete geometry (52-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Difference and functional equations (39-XX) 3 Mechanics of particles and systems (70-XX) 2 Astronomy and astrophysics (85-XX) 1 Measure and integration (28-XX) 1 General topology (54-XX)

### Citations contained in zbMATH Open

868 Publications have been cited 5,054 times in 3,485 Documents Cited by Year
Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems. Zbl 1273.35005
Klibanov, Michael V.
2013
Definitions and examples of inverse and ill-posed problems. Zbl 1170.35100
Kabanikhin, S. I.
2008
Recovering a potential from Cauchy data in the two-dimensional case. Zbl 1142.30018
Bukhgeim, A. L.
2008
Nonstationary inverse problems and state estimation. Zbl 0927.35134
Kaipio, J.; Somersalo, E.
1999
On problems of determining the source function in a parabolic equation. Zbl 0828.35142
Savateev, E. G.
1995
Optimal stable approximations for the sideways heat equation. Zbl 0879.35158
Tautenhahn, U.
1997
Conditional stability in determining a heat source. Zbl 1081.35136
Choulli, M.; Yamamoto, M.
2004
On an inverse source problem for the heat equation. Application to a pollution detection problem. Zbl 1028.35164
2002
An adjoint problem approach and coarse-fine mesh method for identification of the diffusion coefficient in a linear parabolic equation. Zbl 1135.35095
Hasanov, A.; Duchateau, P.; Pektaş, B.
2006
Inverse problem for interior spectral data of the Sturm-Liouville operator. Zbl 1035.34008
Mochizuki, K.; Trooshin, I.
2001
Regularization of linear inverse problems with total generalized variation. Zbl 1302.65167
Bredies, Kristian; Holler, Martin
2014
Inverse nodal problems for Sturm-Liouville operators on star-type graphs. Zbl 1168.34306
Yurko, V.
2008
Convergence rates and source conditions for Tikhonov regularization with sparsity constraints. Zbl 1161.65041
Lorenz, D. A.
2008
Size estimation of inclusion. Zbl 0928.35206
Ikehata, M.
1998
An inverse nodal problem for integro-differential operators. Zbl 1279.34090
Kuryshova, Yulia V.; Shieh, Chung-Tsun
2010
A sensitivity matrix based methodology for inverse problem formulation. Zbl 1179.34008
Cintrón-Arias, A.; Banks, H. T.; Capaldi, A.; Lloyd, A. L.
2009
Global uniqueness, observability and stabilization of nonconservative Schrödinger equations via pointwise Carleman estimates. I: $$H^1(\Omega)$$-estimates. Zbl 1057.35042
Lasiecka, I.; Triggiani, R.; Zhang, X.
2004
Recovering the conductivity at the boundary from the Dirichlet to Neumann map: A pointwise result. Zbl 0991.35104
Brown, R. M.
2001
Reconstruction of the support function for inclusion from boundary measurements. Zbl 0972.35185
Ikehata, M.
2000
Regularization by projection for a backward problem of the time-fractional diffusion equation. Zbl 1282.65114
Ren, Caixuan; Xu, Xiang; Lu, Shuai
2014
How to draw a picture of an unknown inclusion from boundary measurements. Two mathematical inversion algorithms. Zbl 0928.35207
Ikehata, M.
1999
Approximate and analytical inversion formulas in heat conduction on multidimensional spaces. Zbl 1095.35072
Matsuura, T.; Saitoh, S.; Trong, D. D.
2005
Numerical solution of the multidimensional Gelfand-Levitan equation. Zbl 1326.65124
Kabanikhin, Sergey I.; Sabelfeld, Karl K.; Novikov, Nikita S.; Shishlenin, Maxim A.
2015
Convexification of restricted Dirichlet-to-Neumann map. Zbl 1386.35478
Klibanov, Michael V.
2017
Inverse problems on graphs: recovering the tree of strings by the BC-method. Zbl 1099.35165
Belishev, M. I.; Vakulenko, A. F.
2006
Optimizational method for solving the Cauchy problem for an elliptic equation. Zbl 0833.65107
Kabanikhin, S. I.; Karchevsky, A. L.
1995
Fréchet differentiability of the solution to the acoustic Neumann scattering problem with respect to the domain. Zbl 0858.35139
Potthast, Roland
1996
On uniqueness of determination of a form of first degree by its integrals along geodesics. Zbl 0908.35136
Anikonov, Yu. E.; Romanov, V. G.
1997
Inverse problems of memory reconstruction. Zbl 0818.45008
Bukhgeim, A. L.
1993
Numerical methods for solving inverse problems for time fractional diffusion equation with variable coefficient. Zbl 1205.26009
Bondarenko, A. N.; Ivaschenko, D. S.
2009
An inverse problem in corrosion detection: stability estimates. Zbl 1081.78006
Choulli, M.
2004
On fractional Tikhonov regularization. Zbl 1327.65075
Gerth, Daniel; Klann, Esther; Ramlau, Ronny; Reichel, Lothar
2015
Inverse spectral problems for differential operators on arbitrary compact graphs. Zbl 1279.34029
Yurko, Vjacheslav Anatoljevich
2010
Singular value decomposition for the 2D fan-beam Radon transform of tensor fields. Zbl 1058.65143
Kazantsev, S. G.; Bukhgeim, A. A.
2004
Wavelet-Galerkin methods for ill-posed problems. Zbl 0867.65026
Dicken, V.; Maass, P.
1996
A quasi-boundary-value method for the Cauchy problem for elliptic equations with nonhomogeneous Neumann data. Zbl 1279.65129
Feng, Xiao-Li; Eldén, Lars; Fu, Chu-Li
2010
Dynamical variant of the BC-method: Theory and numerical testing. Zbl 0927.35129
Belishev, M. I.; Gotlib, V. Yu.
1999
On a criterion for the solvability of one ill-posed problem for the biharmonic equation. Zbl 1351.35021
2016
A time delay dynamical model for outbreak of 2019-nCov and the parameter identification. Zbl 1439.92170
Chen, Yu; Cheng, Jin; Jiang, Yu; Liu, Keji
2020
Some stability estimates in determining sources and coefficients. Zbl 1110.35100
Choulli, M.; Yamamoto, M.
2006
Standard errors and confidence intervals in inverse problems: sensitivity and associated pitfalls. Zbl 1124.34002
Banks, H. T.; Ernstberger, S. L.; Grove, S. L.
2007
Global uniqueness, observability and stabilization of nonconservative Schrödinger equations via pointwise Carleman estimates. II: $$L_2(\Omega)$$-estimates. Zbl 1061.35170
Lasiecka, I.; Triggiani, R.; Zhang, X.
2004
Metric and Bregman projections onto affine subspaces and their computation via sequential subspace optimization methods. Zbl 1160.46048
Schöpfer, F.; Schuster, T.; Louis, A. K.
2008
Stability and convergence of the wavelet-Galerkin method for the sideways heat equation. Zbl 0947.35176
Regińska, T.; Eldén, L.
2000
Partial inverse problems for the Sturm-Liouville operator on a star-shaped graph with mixed boundary conditions. Zbl 1407.34043
Bondarenko, Natalia Pavlovna
2018
On iterative methods for solving ill-posed problems modeled by partial differential equations. Zbl 0980.35166
Baumeister, J.; Leitão, A.
2001
General theory of the ill-posed Cauchy problem. Zbl 0835.35148
Melnikova, I. V.
1995
Sensitivity functions and their uses in inverse problems. Zbl 1141.34049
Banks, H. T.; Dediu, S.; Ernstberger, S. L.
2007
An inverse problem for linear Sobolev type equations. Zbl 1081.35138
Fedorov, V. E.; Urazaeva, A. V.
2004
Fast Toeplitz linear system inversion for solving two-dimensional acoustic inverse problem. Zbl 1327.65184
Kabanikhin, Sergey I.; Novikov, Nikita S.; Oseledets, Ivan V.; Shishlenin, Maxim A.
2015
Inverse problems for second-order differential pencils with Dirichlet boundary conditions. Zbl 1279.34021
Buterin, Sergey A.; Yurko, Vjacheslav A.
2012
The first solution of a long standing problem: reconstruction formula for a 3-d phaseless inverse scattering problem for the Schrödinger equation. Zbl 1322.35175
Klibanov, Michael V.; Romanov, Vladimir G.
2015
Analytic extensions and Cauchy-type inverse problems on annular domains: stability results. Zbl 1111.35121
Leblond, J.; Mahjoub, M.; Partington, J. R.
2006
On Nesterov acceleration for Landweber iteration of linear ill-posed problems. Zbl 1367.47017
Neubauer, Andreas
2017
Iterative methods for an inverse heat conduction problem. Zbl 0989.35138
Bastay, G.; Kozlov, V. A.; Turesson, B. O.
2001
On approximation of inverse problems for abstract elliptic problems. Zbl 1195.65159
Orlovsky, D.; Piskarev, S.
2009
Explicit formula for the solution of the phaseless inverse scattering problem of imaging of nano structures. Zbl 1328.35314
Klibanov, Michael V.; Romanov, Vladimir G.
2015
A new approximate mathematical model for global convergence for a coefficient inverse problem with backscattering data. Zbl 1279.35094
Beilina, Larisa; Klibanov, Michael V.
2012
Two-step regularization methods for linear inverse problems. Zbl 1107.65045
Klann, E.; Maaß, P.; Ramlau, R.
2006
Sobolev error estimates and a priori parameter selection for semi-discrete Tikhonov regularization. Zbl 1183.41028
Krebs, J.; Louis, A. K.; Wendland, Holger
2009
Generalized sensitivities and optimal experimental design. Zbl 1279.62089
Banks, H. T.; Dediu, Sava; Ernstberger, Stacey L.; Kappel, Franz
2010
On the inversion formulas of Pestov and Uhlmann for the geodesic ray transform. Zbl 1279.44002
Krishnan, Venkateswaran P.
2010
Asymptotic analysis of solving an inverse boundary value problem for a nonlinear singularly perturbed time-periodic reaction-diffusion-advection equation. Zbl 1430.35269
Lukyanenko, Dmitry V.; Shishlenin, Maxim A.; Volkov, Vladimir T.
2019
Sequential subspace optimization for nonlinear inverse problems. Zbl 1355.65147
Wald, Anne; Schuster, Thomas
2017
Control operators and iterative algorithms in variational data assimilation problems. Zbl 1031.93066
Shutyaev, V.
2001
Reconstruction of inclusion from boundary measurements. Zbl 0994.35120
Ikehata, M.
2002
Convergence analysis of an inexact iteratively regularized Gauss-Newton method under general source conditions. Zbl 1129.65043
Langer, S.; Hohage, T.
2007
Open issues of stability for the inverse conductivity problem. Zbl 1221.35443
Alessandrini, G.
2007
A note on logarithmic convergence rates for nonlinear Tikhonov regularization. Zbl 1154.65042
Kaltenbacher, B.
2008
Modulus of continuity for conditionally stable ill-posed problems in Hilbert space. Zbl 1156.47013
Hofmann, B.; Mathé, P.; Schieck, M.
2008
The BC-method in the inverse problem for the heat equation. Zbl 0886.35166
Avdonin, S. A.; Belishev, M. I.; Rozhkov, Yu. S.
1997
A global stability estimate for the Gel’fand-Calderón inverse problem in two dimensions. Zbl 1279.35120
Novikov, Roman; Santacesaria, Matteo
2010
Satisfier function in Ritz-Galerkin method for the identification of a time-dependent diffusivity. Zbl 1279.35059
Yousefi, S. A.; Lesnic, Daniel; Barikbin, Zahra
2012
Generic well-posedness of a linear inverse parabolic problem with diffusion parameters. Zbl 0928.35203
Choulli, M.; Yamamoto, M.
1999
Stability analysis for determining a source term in a 1-D advection-dispersion equation. Zbl 1111.35122
Li, Gongsheng; Yamamoto, M.
2006
Bayesian posterior contraction rates for linear severely ill-posed inverse problems. Zbl 1288.62036
Agapiou, Sergios; Stuart, Andrew M.; Zhang, Yuan-Xiang
2014
Monotonicity based imaging methods for elliptic and parabolic inverse problems. Zbl 1111.35127
Tamburrino, A.
2006
Inverse source problem for parabolic equation with the condition of integral observation in time. Zbl 1393.35079
Prilepko, Aleksey I.; Kamynin, Vitaly L.; Kostin, Andrew B.
2018
Inverse source problem for a transmission problem for a parabolic equation. Zbl 1099.35166
Bellassoued, M.; Yamamoto, M.
2006
Fréchet differentiability of the far field operator for scattering from a crack. Zbl 0846.35146
Kress, Rainer
1995
Use of extrapolation in regularization methods. Zbl 1127.65029
Hämarik, U.; Palm, R.; Raus, T.
2007
An inverse problem for strongly degenerate heat equation. Zbl 1135.35096
Ivanchov, M.; Saldina, N.
2006
On convergence of regularized modified Newton’s method for nonlinear ill-posed problems. Zbl 1279.65069
George, Santhosh
2010
Uniqueness theorems from partial information of the potential on a graph. Zbl 1279.34028
Yang, Chuan-Fu; Yang, Xiao-Ping
2011
A hybrid method for inverse boundary value problems in potential theory. Zbl 1076.31003
Chapko, R.; Kress, R.
2005
Solution to a class of inverse problems for a system of loaded ordinary differential equations with integral conditions. Zbl 1352.65192
Aida-zade, Kamil R.; Abdullayev, Vagif M.
2016
Inverse source problems for positive operators. I. Hypoelliptic diffusion and subdiffusion equations. Zbl 1430.35272
Ruzhansky, Michael; Tokmagambetov, Niyaz; Torebek, Berikbol T.
2019
Reconstruction of dynamic objects with affine deformations in computerized tomography. Zbl 1291.45015
2014
A two-dimensional backward heat problem with statistical discrete data. Zbl 1382.35120
Minh, Nguyen Dang; To Duc, Khanh; Tuan, Nguyen Huy; Trong, Dang Duc
2018
Injectivity and $$\text{weak}^\star$$-to-weak continuity suffice for convergence rates in $$\ell^{1}$$-regularization. Zbl 1382.65159
Flemming, Jens; Gerth, Daniel
2018
Phaseless inverse problems with interference waves. Zbl 1401.35350
2018
Identification problems for parabolic delay differential equations with measurement on the boundary. Zbl 1132.35388
Di Blasio, G.; Lorenzi, A.
2007
Inverse problem for a parabolic equation with integral overdetermination. Zbl 1056.35149
Prilepko, A. I.; Tkachenko, D. S.
2003
Identification of biological models described by systems of nonlinear differential equations. Zbl 1369.92002
Kabanikhin, Sergey I.; Krivorotko, Olga I.
2015
Regularization of the continuation problem for elliptic equations. Zbl 1278.65169
Kabanikhin, S. I.; Gasimov, Y. S.; Nurseitov, D. B.; Shishlenin, M. A.; Sholpanbaev, B. B.; Kasenov, S.
2013
Inverse problems for the ground penetrating radar. Zbl 1278.65145
Kabanikhin, S. I.; Nurseitov, D. B.; Shishlenin, M. A.; Sholpanbaev, B. B.
2013
Linear inverse problems for parabolic and hyperbolic equations. Zbl 1279.35114
Kozhanov, Aleksandr Ivanovich; Safiullova, Regina Rifkhatovna
2010
Inverse source problems for time-fractional mixed parabolic-hyperbolic-type equations. Zbl 1322.35173
Feng, Pengbin; Karimov, Erkinjon T.
2015
Use of difference-based methods to explore statistical and mathematical model discrepancy in inverse problems. Zbl 1468.62260
Banks, H. Thomas; Catenacci, Jared; Hu, Shuhua
2016
Towards a $$d$$-bar reconstruction method for three-dimensional EIT. Zbl 1111.35108
Cornean, H.; Knudsen, K.; Siltanen, S.
2006
On local and global structures of transmission eigenfunctions and beyond. Zbl 1486.35320
Liu, Hongyu
2022
Stability and the inverse gravimetry problem with minimal data. Zbl 1483.31012
Isakov, Victor; Titi, Aseel
2022
Uniqueness and stability analysis of final data inverse source problems for evolution equations. Zbl 1490.74055
2022
The modulus of the Fourier transform on a sphere determines 3-dimensional convex polytopes. Zbl 1497.42022
2022
Erratum to: “Optimal convergence rates for inexact Newton regularization with CG as inner iteration”. Zbl 07569048
Neubauer, Andreas
2022
Convergence analysis of iteratively regularized Gauss-Newton method with frozen derivative in Banach spaces. Zbl 07624009
Mittal, Gaurav; Giri, Ankik Kumar
2022
On the EIT problem for nonorientable surfaces. Zbl 1469.35246
Belishev, M. I.; Korikov, D. V.
2021
Decentralized and parallel primal and dual accelerated methods for stochastic convex programming problems. Zbl 1472.90087
Dvinskikh, Darina; Gasnikov, Alexander
2021
An identification problem involving fractional differential variational inequalities. Zbl 1460.35392
Ke, Tran Dinh; Tuan, Tran Van
2021
On variational regularization: finite dimension and Hölder stability. Zbl 1466.65039
Mittal, Gaurav; Giri, Ankik Kumar
2021
Alternating minimization methods for strongly convex optimization. Zbl 1478.90092
Tupitsa, Nazarii; Dvurechensky, Pavel; Gasnikov, Alexander; Guminov, Sergey
2021
Global stability result for parabolic Cauchy problems. Zbl 1481.35387
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
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.
2021
Convexity properties of the normalized Steklov zeta function of a planar domain. Zbl 1469.35161
Jollivet, Alexandre
2021
A hypersurface containing the support of a Radon transform must be an ellipsoid. II: The general case. Zbl 1477.44001
Boman, Jan
2021
Stability estimates for reconstruction from the Fourier transform on the ball. Zbl 1468.42007
Isaev, Mikhail; Novikov, Roman G.
2021
Inverse extremum problem for a model of endovenous laser ablation. Zbl 1473.35564
Kovtanyuk, Andrey; Chebotarev, Alexander; Astrakhantseva, Alena
2021
Inverse problems for stochastic parabolic equations with additive noise. Zbl 07330230
Yuan, Ganghua
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
2021
A class of inverse problems for fractional order degenerate evolution equations. Zbl 1460.35372
Fedorov, Vladimir E.; Nagumanova, Anna V.; Kostić, Marko
2021
Machine learning based data retrieval for inverse scattering problems with incomplete data. Zbl 1460.35283
Gao, Yu; Zhang, Kai
2021
A time delay dynamical model for outbreak of 2019-nCov and the parameter identification. Zbl 1439.92170
Chen, Yu; Cheng, Jin; Jiang, Yu; Liu, Keji
2020
Inverse problem of determining an order of the Caputo time-fractional derivative for a subdiffusion equation. Zbl 1461.35207
Alimov, Shavkat; Ashurov, Ravshan
2020
Direct and inverse source problems for degenerate parabolic equations. Zbl 1475.35175
Hussein, M. S.; Lesnic, Daniel; Kamynin, Vitaly L.; Kostin, Andrey B.
2020
Inverse source problem for a distributed-order time fractional diffusion equation. Zbl 07173390
Cheng, Xiaoliang; Yuan, Lele; Liang, Kewei
2020
Some features of solving an inverse backward problem for a generalized Burgers’ equation. Zbl 1461.35237
Lukyanenko, Dmitry V.; Prigorniy, Igor V.; Shishlenin, Maxim A.
2020
Full reconstruction of a vector field from restricted Doppler and first integral moment transforms in $$\mathbb{R}^n$$. Zbl 1446.44001
Mishra, Rohit Kumar
2020
Inverse problem for elastic body with thin elastic inclusion. Zbl 1436.35189
Khludnev, Alexander M.
2020
Modified Radon transform inversion using moments. Zbl 1451.44002
Choi, Hayoung; Ginting, Victor; Jafari, Farhad; Mnatsakanov, Robert
2020
Inverse problem of breaking line identification by shape optimization. Zbl 1431.35252
Ghilli, Daria; Kunisch, Karl; Kovtunenko, Victor A.
2020
The backward problem of parabolic equations with the measurements on a discrete set. Zbl 1431.65152
Cheng, Jin; Ke, Yufei; Wei, Ting
2020
Optimal convergence rates for inexact Newton regularization with CG as inner iteration. Zbl 07173400
Neubauer, Andreas
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
2020
A stability result for the determination of order in time-fractional diffusion equations. Zbl 1448.35554
Li, Zhiyuan; Huang, Xinchi; Yamamoto, Masahiro
2020
Uniqueness for the inverse fixed angle scattering problem. Zbl 1446.35088
Barceló, Juan Antonio; Castro, Carlos; Luque, Teresa; Meroño, Cristobal J.; Ruiz, Alberto; de la Cruz Vilela, María
2020
Inverse problems for a conformable fractional Sturm-Liouville operator. Zbl 1465.34025
2020
Sampling in thermoacoustic tomography. Zbl 1460.35405
Mathison, Chase
2020
Recovering differential operators with two constant delays under Dirichlet/Neumann boundary conditions. Zbl 1443.34081
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
2020
Numerics of acoustical 2D tomography based on the conservation laws. Zbl 1433.65196
Kabanikhin, Sergey I.; Klyuchinskiy, Dmitriy V.; Novikov, Nikita S.; Shishlenin, Maxim A.
2020
The problem of determining the one-dimensional kernel of viscoelasticity equation with a source of explosive type. Zbl 1437.35465
Durdiev, Durdimurod Kalandarovich; Totieva, Zhanna Dmitrievna
2020
Stability estimate for an inverse problem of the convection-diffusion equation. Zbl 1431.35238
2020
Determination of the impulsive Sturm-Liouville operator from a set of eigenvalues. Zbl 1445.34046
Zhang, Ran; Xu, Xiao-Chuan; Yang, Chuan-Fu; Bondarenko, Natalia Pavlovna
2020
Partial inverse problems for quadratic differential pencils on a graph with a loop. Zbl 1445.34043
Bondarenko, Natalia P.; Shieh, Chung-Tsun
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
2020
Inverse spectral problems for differential operators with non-separated boundary conditions. Zbl 07244000
Yurko, Vjacheslav A.
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.
2020
Regularization of backward time-fractional parabolic equations by Sobolev-type equations. Zbl 1461.35228
Hào, Dinh Nho; Van Duc, Nguyen; Van Thang, Nguyen; Trung Thành, Nguyen
2020
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.
2020
The factorization and monotonicity method for the defect in an open periodic waveguide. Zbl 1461.35227
Furuya, Takashi
2020
On the Hochstadt-Lieberman problem for the Dirac operator with discontinuity. Zbl 1469.34035
Yang, Chuan-Fu; Yurko, Vjacheslav; Zhang, Ran
2020
Regularization of a sideways problem for a time-fractional diffusion equation with nonlinear source. Zbl 1436.35244
Ngoc, Tran Bao; Tuan, Nguyen Huy; Kirane, Mokhtar
2020
A linear regularization method for a parameter identification problem in heat equation. Zbl 1473.35655
Mondal, Subhankar; Nair, M. Thamban
2020
Inverse problems for a class of linear Sobolev type equations with overdetermination on the kernel of operator at the derivative. Zbl 1431.35240
Fedorov, Vladimir Evgenyevich; Ivanova, Natalia Dmitrievna
2020
Isospectral sets for transmission eigenvalue problem. Zbl 1437.34027
Yang, Chuan-Fu; Buterin, Sergey A.
2020
Joint inversion of compact operators. Zbl 1431.65055
Mead, Jodi L.; Ford, James F.
2020
Identifying space-time dependent force on the vibrating Euler-Bernoulli beam by a boundary functional method. Zbl 1435.74031
Liu, Chein-Shan; Li, Botong
2020
FEM-based scalp-to-cortex EEG data mapping via the solution of the Cauchy problem. Zbl 1446.65147
Koshev, Nikolay; Yavich, Nikolay; Malovichko, Mikhail; Skidchenko, Ekaterina; Fedorov, Maxim
2020
Microwave thermometry with potential application in non-invasive monitoring of hyperthermia. Zbl 1466.65171
Ghaderi Aram, Morteza; Beilina, Larisa; Dobsicek Trefna, Hana
2020
Stability in $$L^q$$-norm for inverse source parabolic problems. Zbl 1461.35239
Melnig, Elena-Alexandra
2020
Global and local optimization in identification of parabolic systems. Zbl 1460.35394
Krivorotko, Olga; Kabanikhin, Sergey; Zhang, Shuhua; Kashtanova, Victoriya
2020
Correlation of errors in inverse problems of optical coatings monitoring. Zbl 1484.78007
Kochikov, Igor V.; Sharapova, Svetlana A.; Yagola, Anatoly G.; Tikhonravov, Alexander V.
2020
Asymptotic analysis of solving an inverse boundary value problem for a nonlinear singularly perturbed time-periodic reaction-diffusion-advection equation. Zbl 1430.35269
Lukyanenko, Dmitry V.; Shishlenin, Maxim A.; Volkov, Vladimir T.
2019
Inverse source problems for positive operators. I. Hypoelliptic diffusion and subdiffusion equations. Zbl 1430.35272
Ruzhansky, Michael; Tokmagambetov, Niyaz; Torebek, Berikbol T.
2019
Inverse nodal problems for integro-differential operators with a constant delay. Zbl 1421.34049
Sat, Murat; Shieh, Chung Tsun
2019
On solenoidal-injective and injective ray transforms of tensor fields on surfaces. Zbl 1418.35381
Krishnan, Venkateswaran P.; Mishra, Rohit K.; Monard, François
2019
An inverse problem for the integro-differential Dirac system with partial information given on the convolution kernel. Zbl 1472.45007
Bondarenko, Natalia Pavlovna
2019
On an inverse spectral problem for one integro-differential operator of fractional order. Zbl 1411.45005
Ignatiev, Mikhail
2019
A quasi-boundary regularization method for identifying the initial value of time-fractional diffusion equation on spherically symmetric domain. Zbl 1425.35230
Yang, Fan; Wang, Ni; Li, Xiao-Xiao; Huang, Can-Yun
2019
On recovering a Sturm-Liouville-type operator with the frozen argument rationally proportioned to the interval length. Zbl 1422.34214
Buterin, Sergey A.; Vasiliev, Sergey V.
2019
Cauchy difference priors for edge-preserving Bayesian inversion. Zbl 1417.49049
Markkanen, Markku; Roininen, Lassi; Huttunen, Janne M. J.; Lasanen, Sari
2019
Inverse space-dependent source problem for a time-fractional diffusion equation by an adjoint problem approach. Zbl 1503.65279
Yan, Xiong Bin; Wei, Ting
2019
On a method for solving the inverse Sturm-Liouville problem. Zbl 1434.34026
2019
Source identification problems for hyperbolic differential and difference equations. Zbl 1429.65117
Ashyralyev, Allaberen; Emharab, Fathi
2019
Identification of an unknown spatial load distribution in a vibrating beam or plate from the final state. Zbl 1425.74269
Van Bockstal, Karel
2019
On the travel time tomography problem in 3D. Zbl 1418.35375
Klibanov, Michael V.
2019
Penalty-based smoothness conditions in convex variational regularization. Zbl 1483.65087
Hofmann, Bernd; Kindermann, Stefan; Mathé, Peter
2019
On the asymptotic study of transmission problem in a thin domain. Zbl 1411.35288
Benseghir, Aissa; Benseridi, Hamid; Dilmi, Mourad
2019
Solvability of interior transmission problem for the diffusion equation by constructing its Green function. Zbl 1425.35236
Nakamura, Gen; Wang, Haibing
2019
Stepwise regularization method for a nonlinear Riesz-Feller space-fractional backward diffusion problem. Zbl 1431.65157
Trong, Dang Duc; Hai, Dinh Nguyen Duy; Minh, Nguyen Dang
2019
The regularized weak functional matching pursuit for linear inverse problems. Zbl 1480.65143
Kontak, Max; Michel, Volker
2019
Non-recombining trinomial tree pricing model and calibration for the volatility smile. Zbl 1480.91314
Gong, Wenxiu; Xu, Zuoliang
2019
Using Landweber iteration to quantify source conditions – a numerical study. Zbl 1480.65141
Gerth, Daniel
2019
Unique continuation for a reaction-diffusion system with cross diffusion. Zbl 1416.35057
Wu, Bin; Gao, Ying; Wang, Zewen; Chen, Qun
2019
Tikhonov regularization with $${\ell^{0}}$$-term complementing a convex penalty: $${\ell^{1}}$$-convergence under sparsity constraints. Zbl 1480.65139
Wang, Wei; Lu, Shuai; Hofmann, Bernd; Cheng, Jin
2019
Convergence of Levenberg-Marquardt method for the inverse problem with an interior measurement. Zbl 1416.65418
Jiang, Yu; Nakamura, Gen
2019
A coupled complex boundary expanding compacts method for inverse source problems. Zbl 1411.35287
Zhang, Ye; Gong, Rongfang; Gulliksson, Mårten; Cheng, Xiaoliang
2019
Semi-heuristic parameter choice rules for Tikhonov regularisation with operator perturbations. Zbl 1490.65110
Hämarik, Uno; Kangro, Urve; Kindermann, Stefan; Raik, Kemal
2019
The enclosure method for inverse obstacle scattering over a finite time interval. V. Using time-reversal invariance. Zbl 1411.35282
Ikehata, Masaru
2019
On a non-stationary, non-Newtonian lubrication problem with Tresca fluid-solid law. Zbl 1425.35145
Benterki, Djamila; Benseridi, Hamid; Dilmi, Mourad
2019
Prescribing a heat flux coming from a wave equation. Zbl 1425.35233
Ikehata, Masaru
2019
Inverse source problems for the Korteweg-de Vries-Burgers equation with mixed boundary conditions. Zbl 1430.35271
Montoya, Cristhian
2019
Optimization method in material bodies cloaking with respect to static physical fields. Zbl 1437.35227
Alekseev, Gennady V.; Tereshko, Dmitry A.
2019
Identification of an unknown shear force in a cantilever Euler-Bernoulli beam from measured boundary bending moment. Zbl 1430.74148
Hasanov, Alemdar; Baysal, Onur; Itou, Hiromichi
2019
Invertibility and stability for a generic class of Radon transforms with application to dynamic operators. Zbl 1429.44001
Rabieniaharatbar, Siamak
2019
The Ivanov regularized Gauss-Newton method in Banach space with an a posteriori choice of the regularization radius. Zbl 1418.65055
Kaltenbacher, Barbara; Klassen, Andrej; Previatti De Souza, Mario Luiz
2019
Identification of point sources in an elliptic equation from interior measurements: application to a seawater intrusion problem. Zbl 1418.35379
2019
Contrast enhanced tomographic reconstruction of vascular blood flow with first order and second order adjoint methods. Zbl 1415.92110
Sixou, Bruno
2019
On an asymmetric backward heat problem with the space and time-dependent heat source on a disk. Zbl 1411.35132
Minh Le, Triet; Hoang Pham, Quan; Hong Luu, Phong
2019
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### Cited by 3,613 Authors

 58 Yamamoto, Masahiro 57 Klibanov, Michael V. 57 Yang, Chuanfu 47 Banks, Harvey Thomas 46 Fu, Chuli 44 Uhlmann, Gunther Alberto 43 Hofmann, Bernd 40 Lesnic, Daniel 40 Nguyen Huy Tuan 35 Xiong, Xiangtuan 31 Bondarenko, Natalia P. 28 Kabanikhin, Sergeĭ Igorevich 27 Yang, Fan 26 Denisov, Alexander Mikhailovich 25 Yurko, Vjacheslav Anatoljevich 24 Salo, Mikko 23 George, Santhosh 22 Buterin, Sergey Alexandrovich 22 Hasanoǧlu, Alemdar 22 Kaltenbacher, Barbara 21 Li, Xiaoxiao 20 Maksimov, Vyacheslav Ivanovich 20 Nguyen, Loc Hoang 20 Romanov, Vladimir Gavrilovich 19 Cheng, Jin 19 Đinh Nho Hào 19 Lassas, Matti J. 19 Nakamura, Gen 19 Shishlenin, Maxim Aleksandrovich 18 Avdonin, Sergeĭ Anatol’evich 18 Bellassoued, Mourad 18 Han, Bo 18 Harrach, Bastian 17 Kian, Yavar 17 Mathé, Peter 17 Yagola, Anatoliĭ Grigor’evich 16 Hu, Guanghui 16 Leonov, Aleksandr Sergeevich 16 Liu, Chein-Shan 16 Liu, Jijun 16 Lorenzi, Alfredo 16 Novikov, Roman G. 15 Ashyralyev, Allaberen 15 Beilina, Larisa 15 Chebotarev, Alexander Yurievich 15 Choulli, Mourad 15 Lu, Shuai 15 Ramm, Alexander G. 14 Bakushinskĭ, Anatoliĭ Borisovich B. 14 Belishev, Mikhail Igorevitch 14 Ikehata, Masaru 14 Imanuvilov, Oleg Yu. 14 Janno, Jaan 14 Kamynin, Vitaly Leonidovich 14 Marin, Liviu 14 Wang, Yanfei 14 Wei, Ting 14 Xu, Xiaochuan 14 Zou, Jun 13 Băleanu, Dumitru I. 13 Bredies, Kristian 13 Fëdorov, Vladimir Evgen’evich 13 Johansson, B. Tomas 13 Kindermann, Stefan 13 Li, Jingzhi 13 Mikhaylov, Victor S. 13 Oksanen, Lauri 13 Stefanov, Plamen D. 13 Tzou, Leo 13 Wang, Yuping 13 Wu, Bin 13 Yan, Guozheng 13 Zhang, Ye 12 Boumenir, Amin A. 12 Cheng, Wei 12 Durdiev, Durdimurod Kalandarovich 12 Kress, Rainer 12 Krivorotko, Olga I. 12 Lin, Yi-Hsuan 12 Monard, François 12 Pyatkov, Sergeĭ Grigor’evich 12 Schuster, Thomas 12 Siltanen, Samuli 12 Soltani, Fethi 12 Tautenhahn, Ulrich 12 Trong, Dang Duc 12 Viloche Bazán, Fermín S. 12 Wang, Jenn-Nan 11 Ageev, Aleksandr Leonidovich 11 Aida-Zade, Kamil Rajab 11 Anikonov, Yuriĭ Evgenievich 11 Antonova, Tat’yana Vladimirovna 11 Garde, Henrik 11 Guillarmou, Colin 11 Hämarik, Uno 11 Hon, Yiu-Chung 11 Kokurin, Mikhail Yur’evich 11 Li, Gongsheng 11 Liu, Hongyu 11 Luk’yanenko, Dmitriĭ Vital’evich ...and 3,513 more Authors
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### Cited in 423 Journals

 295 Journal of Inverse and Ill-Posed Problems 204 Inverse Problems 148 Inverse Problems in Science and Engineering 126 Applicable Analysis 97 Inverse Problems and Imaging 90 Journal of Computational and Applied Mathematics 85 Journal of Mathematical Analysis and Applications 65 Computers & Mathematics with Applications 61 Applied Mathematics and Computation 53 Computational Mathematics and Mathematical Physics 52 Differential Equations 50 Journal of Mathematical Sciences (New York) 40 Journal of Differential Equations 38 SIAM Journal on Mathematical Analysis 37 Applied Numerical Mathematics 36 Applied Mathematics Letters 35 Journal of Computational Physics 35 Numerical Functional Analysis and Optimization 34 Mathematical Methods in the Applied Sciences 32 Boundary Value Problems 31 SIAM Journal on Imaging Sciences 27 Mathematics and Computers in Simulation 26 SIAM Journal on Applied Mathematics 26 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 25 Russian Mathematics 24 Mathematical Notes 24 Siberian Mathematical Journal 24 Applied Mathematical Modelling 23 Engineering Analysis with Boundary Elements 22 Numerische Mathematik 22 Numerical Algorithms 21 Journal of Integral Equations and Applications 21 Abstract and Applied Analysis 21 Analysis and Mathematical Physics 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Proceedings of the Steklov Institute of Mathematics 19 Journal de Mathématiques Pures et Appliquées. Neuvième Série 19 Computational and Applied Mathematics 18 Zeitschrift für Analysis und ihre Anwendungen 17 Journal of Mathematical Physics 16 Results in Mathematics 16 Computational Mathematics and Modeling 15 Comptes Rendus. Mathématique. Académie des Sciences, Paris 14 Bulletin of Mathematical Biology 14 Journal of Functional Analysis 14 SIAM Journal on Numerical Analysis 14 International Journal of Computer Mathematics 14 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 14 Advances in Difference Equations 12 Computer Methods in Applied Mechanics and Engineering 12 Mathematical Biosciences 12 Proceedings of the American Mathematical Society 12 Mathematical and Computer Modelling 12 Communications in Partial Differential Equations 12 Mathematical Problems in Engineering 12 Doklady Mathematics 12 Fractional Calculus & Applied Analysis 12 Mathematical Biosciences and Engineering 12 Sibirskie Èlektronnye Matematicheskie Izvestiya 12 Complex Variables and Elliptic Equations 12 Journal of Siberian Federal University. Mathematics & Physics 11 Ukrainian Mathematical Journal 11 Transactions of the American Mathematical Society 11 Applied and Computational Harmonic Analysis 11 ETNA. Electronic Transactions on Numerical Analysis 11 Nonlinear Analysis. Real World Applications 11 Journal of Applied Mathematics and Computing 11 GEM - International Journal on Geomathematics 11 Journal of Theoretical Biology 10 Mathematics of Computation 10 Journal of Optimization Theory and Applications 10 Acta Mathematicae Applicatae Sinica. English Series 10 Journal of Complexity 10 Journal of Scientific Computing 10 The Journal of Geometric Analysis 10 Advances in Computational Mathematics 10 Journal of Inequalities and Applications 10 Lobachevskii Journal of Mathematics 10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 Discrete and Continuous Dynamical Systems. Series S 10 Evolution Equations and Control Theory 9 Journal of Mathematical Imaging and Vision 9 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 9 Mathematical Modelling and Analysis 9 Computational Methods in Applied Mathematics 9 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 9 Mathematical Control and Related Fields 8 Applied Mathematics and Optimization 8 Integral Equations and Operator Theory 8 Journal of Approximation Theory 8 Quarterly of Applied Mathematics 8 SIAM Journal on Control and Optimization 8 Chinese Annals of Mathematics. Series B 8 Automation and Remote Control 8 SIAM Journal on Scientific Computing 8 Russian Journal of Numerical Analysis and Mathematical Modelling 8 Advances in Mathematical Physics 8 SIAM/ASA Journal on Uncertainty Quantification 7 Journal of Engineering Mathematics 7 Turkish Journal of Mathematics ...and 323 more Journals
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### Cited in 50 Fields

 1,924 Partial differential equations (35-XX) 1,475 Numerical analysis (65-XX) 488 Operator theory (47-XX) 355 Ordinary differential equations (34-XX) 266 Biology and other natural sciences (92-XX) 253 Calculus of variations and optimal control; optimization (49-XX) 237 Optics, electromagnetic theory (78-XX) 227 Integral equations (45-XX) 217 Mechanics of deformable solids (74-XX) 180 Systems theory; control (93-XX) 157 Fluid mechanics (76-XX) 129 Statistics (62-XX) 128 Classical thermodynamics, heat transfer (80-XX) 121 Integral transforms, operational calculus (44-XX) 107 Information and communication theory, circuits (94-XX) 88 Operations research, mathematical programming (90-XX) 81 Geophysics (86-XX) 76 Harmonic analysis on Euclidean spaces (42-XX) 70 Probability theory and stochastic processes (60-XX) 68 Real functions (26-XX) 67 Functional analysis (46-XX) 62 Computer science (68-XX) 59 Global analysis, analysis on manifolds (58-XX) 58 Quantum theory (81-XX) 53 Differential geometry (53-XX) 52 Potential theory (31-XX) 39 Functions of a complex variable (30-XX) 36 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 35 Approximations and expansions (41-XX) 27 Statistical mechanics, structure of matter (82-XX) 26 Dynamical systems and ergodic theory (37-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 19 Special functions (33-XX) 13 Combinatorics (05-XX) 12 Difference and functional equations (39-XX) 12 Mechanics of particles and systems (70-XX) 6 Astronomy and astrophysics (85-XX) 5 History and biography (01-XX) 5 Abstract harmonic analysis (43-XX) 5 Relativity and gravitational theory (83-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Convex and discrete geometry (52-XX) 2 Sequences, series, summability (40-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX)