## 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: 1,284 Publications (since 1993) References Indexed: 709 Publications with 13,955 References.
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### Authors

 55 Kabanikhin, Sergeĭ Igorevich 42 Lorenzi, Alfredo 41 Anikonov, Yuriĭ Evgenievich 33 Yamamoto, Masahiro 29 Romanov, Vladimir Gavrilovich 25 Banks, Harvey Thomas 23 Yagola, Anatoliĭ Grigor’evich 22 Ramm, Alexander G. 18 Vasin, Vladimir Vasil’evich 17 Klibanov, Michael V. 16 Bakushinskĭ, Anatoliĭ Borisovich B. 16 Shishlenin, Maxim Aleksandrovich 16 Yurko, Vjacheslav Anatoljevich 15 Smirnova, Alexandra B. 14 Đinh Nho Hào 14 Hofmann, Bernd 14 Ikehata, Masaru 13 Denisov, Alexander Mikhailovich 13 Neubauer, Andreas 12 Yang, Chuanfu 11 Belishev, Mikhail Igorevitch 11 Hasanoǧlu, Alemdar 10 Cheng, Jin 10 Karchevsky, Andrey Leonidovich 10 Lesnic, Daniel 10 Schuster, Thomas 10 Tanana, Vitaly Pavlovich 9 Bukhgeǐm, Alexandre L. 9 Derevtsov, Evgeny Yurievich 9 Janno, Jaan 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 Triggiani, Roberto 7 Bondarenko, Natalia P. 7 Choulli, Mourad 7 Kaltenbacher, Barbara 7 Kindermann, Stefan 7 Kress, Rainer 7 Krivorotko, Olga I. 7 Louis, Alfred Karl 7 Novikov, Roman G. 7 von Wolfersdorf, Lothar 7 Wang, Yanfei 6 Bardakov, Valeriĭ Georgievich 6 Blagovestchenskiĭ, Aleksandr Sergeevich 6 Engl, Heinz W. 6 George, Santhosh 6 Kazantsev, Sergeĭ Gavrilovich 6 Maass, Peter 6 Mathé, Peter 6 Messina, Francesca 6 Pandolfi, Luciano 6 Ramlau, Ronny 6 Tautenhahn, Ulrich 6 Vessella, Sergio 5 Ageev, Aleksandr Leonidovich 5 Alessandrini, Giovanni 5 Anikonov, Dmitriĭ Sergeevich 5 Ayupova, Natalia Borisovna 5 Beilina, Larisa 5 Bugueva, T. V. 5 Cherednichenko, Victor G. 5 Duc, Nguyen Van 5 El Badia, Abdellatif 5 Hämarik, Uno 5 Imanuvilov, Oleg Yu. 5 Inglese, Gabriele 5 Kappel, Franz 5 Kozhanov, Aleksandr Ivanovich 5 Lavrent’ev, Mikhail Mikhaĭlovich 5 Li, Gongsheng 5 Luk’yanenko, Dmitriĭ Vital’evich 5 Nurseitov, Daniyar B. 5 Pereverzev, Sergei V. 5 Piskarëv, S. I. 5 Priimenko, Viatcheslav I. 5 Prokhorov, Igor’ Vasil’evich 5 Regińska, Teresa 5 Serovaĭskiĭ, Simon Ya. 5 Sharafutdinov, Vladimir A. 5 Titarenko, Valery N. 5 Trong, Dang Duc 5 Xu, Xiaochuan 5 Zirilli, Francesco 4 Abasheeva, N. L. 4 Antonova, Tat’yana Vladimirovna 4 Avdonin, Sergeĭ Anatol’evich 4 Bukhgeim, Alexander A. 4 Buterin, Sergey Alexandrovich 4 Cheng, Xiaoliang 4 Colombo, Fabrizio 4 Fatone, Lorella ...and 1,232 more Authors
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### Fields

 744 Partial differential equations (35-XX) 538 Numerical analysis (65-XX) 230 Operator theory (47-XX) 128 Integral equations (45-XX) 119 Ordinary differential equations (34-XX) 82 Mechanics of deformable solids (74-XX) 81 Biology and other natural sciences (92-XX) 78 Calculus of variations and optimal control; optimization (49-XX) 68 Optics, electromagnetic theory (78-XX) 62 Integral transforms, operational calculus (44-XX) 59 Geophysics (86-XX) 55 Fluid mechanics (76-XX) 53 Systems theory; control (93-XX) 31 Operations research, mathematical programming (90-XX) 29 Potential theory (31-XX) 29 Classical thermodynamics, heat transfer (80-XX) 27 Statistics (62-XX) 24 Differential geometry (53-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 21 Information and communication theory, circuits (94-XX) 18 Computer science (68-XX) 18 Quantum theory (81-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Probability theory and stochastic processes (60-XX) 13 General and overarching topics; collections (00-XX) 13 History and biography (01-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Functions of a complex variable (30-XX) 11 Functional analysis (46-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Approximations and expansions (41-XX) 6 Special functions (33-XX) 4 Real functions (26-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 Convex and discrete geometry (52-XX) 2 Astronomy and astrophysics (85-XX) 1 Measure and integration (28-XX) 1 General topology (54-XX)

### Citations contained in zbMATH Open

832 Publications have been cited 4,607 times in 3,198 Documents Cited by Year
Recovering a potential from Cauchy data in the two-dimensional case. Zbl 1142.30018
Bukhgeim, A. L.
2008
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
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
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
On an inverse source problem for the heat equation. Application to a pollution detection problem. Zbl 1028.35164
2002
Inverse problem for interior spectral data of the Sturm-Liouville operator. Zbl 1035.34008
Mochizuki, K.; Trooshin, I.
2001
Convergence rates and source conditions for Tikhonov regularization with sparsity constraints. Zbl 1161.65041
Lorenz, D. A.
2008
Inverse nodal problems for Sturm-Liouville operators on star-type graphs. Zbl 1168.34306
Yurko, V.
2008
Regularization of linear inverse problems with total generalized variation. Zbl 1302.65167
Bredies, Kristian; Holler, Martin
2014
Size estimation of inclusion. Zbl 0928.35206
Ikehata, M.
1998
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
A sensitivity matrix based methodology for inverse problem formulation. Zbl 1179.34008
Cintrón-Arias, A.; Banks, H. T.; Capaldi, A.; Lloyd, A. L.
2009
An inverse nodal problem for integro-differential operators. Zbl 1279.34090
Kuryshova, Yulia V.; Shieh, Chung-Tsun
2010
How to draw a picture of an unknown inclusion from boundary measurements. Two mathematical inversion algorithms. Zbl 0928.35207
Ikehata, M.
1999
Reconstruction of the support function for inclusion from boundary measurements. Zbl 0972.35185
Ikehata, M.
2000
Approximate and analytical inversion formulas in heat conduction on multidimensional spaces. Zbl 1095.35072
Matsuura, T.; Saitoh, S.; Trong, D. D.
2005
Regularization by projection for a backward problem of the time-fractional diffusion equation. Zbl 1282.65114
Ren, Caixuan; Xu, Xiang; Lu, Shuai
2014
Numerical solution of the multidimensional Gelfand-Levitan equation. Zbl 1326.65124
Kabanikhin, Sergey I.; Sabelfeld, Karl K.; Novikov, Nikita S.; Shishlenin, Maxim A.
2015
Recovering the conductivity at the boundary from the Dirichlet to Neumann map: A pointwise result. Zbl 0991.35104
Brown, R. M.
2001
On uniqueness of determination of a form of first degree by its integrals along geodesics. Zbl 0908.35136
Anikonov, Yu. E.; Romanov, V. G.
1997
Fréchet differentiability of the solution to the acoustic Neumann scattering problem with respect to the domain. Zbl 0858.35139
Potthast, Roland
1996
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
Inverse problems of memory reconstruction. Zbl 0818.45008
Bukhgeim, A. L.
1993
Inverse spectral problems for differential operators on arbitrary compact graphs. Zbl 1279.34029
Yurko, Vjacheslav Anatoljevich
2010
An inverse problem in corrosion detection: stability estimates. Zbl 1081.78006
Choulli, M.
2004
Numerical methods for solving inverse problems for time fractional diffusion equation with variable coefficient. Zbl 1205.26009
Bondarenko, A. N.; Ivaschenko, D. S.
2009
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
Convexification of restricted Dirichlet-to-Neumann map. Zbl 1386.35478
Klibanov, Michael V.
2017
On fractional Tikhonov regularization. Zbl 1327.65075
Gerth, Daniel; Klann, Esther; Ramlau, Ronny; Reichel, Lothar
2015
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
Sensitivity functions and their uses in inverse problems. Zbl 1141.34049
Banks, H. T.; Dediu, S.; Ernstberger, S. L.
2007
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
Singular value decomposition for the 2D fan-beam Radon transform of tensor fields. Zbl 1058.65143
Kazantsev, S. G.; Bukhgeim, A. A.
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
Some stability estimates in determining sources and coefficients. Zbl 1110.35100
Choulli, M.; Yamamoto, M.
2006
General theory of the ill-posed Cauchy problem. Zbl 0835.35148
Melnikova, I. V.
1995
Stability and convergence of the wavelet-Galerkin method for the sideways heat equation. Zbl 0947.35176
Regińska, T.; Eldén, L.
2000
Inverse problems for second-order differential pencils with Dirichlet boundary conditions. Zbl 1279.34021
Buterin, Sergey A.; Yurko, Vjacheslav A.
2012
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
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
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
On iterative methods for solving ill-posed problems modeled by partial differential equations. Zbl 0980.35166
Baumeister, J.; Leitão, A.
2001
Iterative methods for an inverse heat conduction problem. Zbl 0989.35138
Bastay, G.; Kozlov, V. A.; Turesson, B. O.
2001
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
On approximation of inverse problems for abstract elliptic problems. Zbl 1195.65159
Orlovsky, D.; Piskarev, S.
2009
Analytic extensions and Cauchy-type inverse problems on annular domains: stability results. Zbl 1111.35121
Leblond, J.; Mahjoub, M.; Partington, J. R.
2006
Partial inverse problems for the Sturm-Liouville operator on a star-shaped graph with mixed boundary conditions. Zbl 1407.34043
Bondarenko, Natalia Pavlovna
2018
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
An inverse problem for linear Sobolev type equations. Zbl 1081.35138
Fedorov, V. E.; Urazaeva, A. V.
2004
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
Generic well-posedness of a linear inverse parabolic problem with diffusion parameters. Zbl 0928.35203
Choulli, M.; Yamamoto, M.
1999
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
The BC-method in the inverse problem for the heat equation. Zbl 0886.35166
Avdonin, S. A.; Belishev, M. I.; Rozhkov, Yu. S.
1997
Generalized sensitivities and optimal experimental design. Zbl 1279.62089
Banks, H. T.; Dediu, Sava; Ernstberger, Stacey L.; Kappel, Franz
2010
A note on logarithmic convergence rates for nonlinear Tikhonov regularization. Zbl 1154.65042
Kaltenbacher, B.
2008
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
Sequential subspace optimization for nonlinear inverse problems. Zbl 1355.65147
Wald, Anne; Schuster, Thomas
2017
Stability analysis for determining a source term in a 1-D advection-dispersion equation. Zbl 1111.35122
Li, Gongsheng; Yamamoto, M.
2006
Fréchet differentiability of the far field operator for scattering from a crack. Zbl 0846.35146
Kress, Rainer
1995
A hybrid method for inverse boundary value problems in potential theory. Zbl 1076.31003
Chapko, R.; Kress, R.
2005
Modulus of continuity for conditionally stable ill-posed problems in Hilbert space. Zbl 1156.47013
Hofmann, B.; Mathé, P.; Schieck, M.
2008
Use of extrapolation in regularization methods. Zbl 1127.65029
Hämarik, U.; Palm, R.; Raus, T.
2007
Bayesian posterior contraction rates for linear severely ill-posed inverse problems. Zbl 1288.62036
Agapiou, Sergios; Stuart, Andrew M.; Zhang, Yuan-Xiang
2014
On convergence of regularized modified Newton’s method for nonlinear ill-posed problems. Zbl 1279.65069
George, Santhosh
2010
On the inversion formulas of Pestov and Uhlmann for the geodesic ray transform. Zbl 1279.44002
Krishnan, Venkateswaran P.
2010
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
Monotonicity based imaging methods for elliptic and parabolic inverse problems. Zbl 1111.35127
Tamburrino, A.
2006
Identification problems for parabolic delay differential equations with measurement on the boundary. Zbl 1132.35388
Di Blasio, G.; Lorenzi, A.
2007
An inverse problem for strongly degenerate heat equation. Zbl 1135.35096
Ivanchov, M.; Saldina, N.
2006
Control operators and iterative algorithms in variational data assimilation problems. Zbl 1031.93066
Shutyaev, V.
2001
Inverse problems for the ground penetrating radar. Zbl 1278.65145
Kabanikhin, S. I.; Nurseitov, D. B.; Shishlenin, M. A.; Sholpanbaev, B. B.
2013
On Nesterov acceleration for Landweber iteration of linear ill-posed problems. Zbl 1367.47017
Neubauer, Andreas
2017
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
On maximum entropy regularization for a specific inverse problem of option pricing. Zbl 1086.91029
Hofmann, B.; Krämer, R.
2005
Injectivity and $$\text{weak}^\star$$-to-weak continuity suffice for convergence rates in $$\ell^{1}$$-regularization. Zbl 1382.65159
Flemming, Jens; Gerth, Daniel
2018
On the quasioptimal regularization parameter choices for solving ill-posed problems. Zbl 1136.65053
Raus, T.; Hämarik, U.
2007
Identification of a non-convex obstacle for acoustical scattering. Zbl 1126.35103
Nakamura, G.; Yoshida, K.
2007
On approximation of inverse problem for abstract parabolic differential equations in Banach spaces. Zbl 1188.65074
Prilepko, A.; Piskarev, S.; Shaw, S.-Y.
2007
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
Numerical solution of an ill-posed Cauchy problem for a quasilinear parabolic equation using a Carleman weight function. Zbl 1351.35263
Klibanov, Michael V.; Koshev, Nikolaj A.; Li, Jingzhi; Yagola, Anatoly G.
2016
On the determination of the principal coefficient from boundary measurements in a KdV equation. Zbl 1304.35761
Baudouin, Lucie; Cerpa, Eduardo; Crépeau, Emmanuelle; Mercado, Alberto
2014
Parameter identification for Laplace equation and approximation in Hardy classes. Zbl 1028.35163
Chaabane, S.; Jaoua, M.; Leblond, J.
2003
Generic well-posedness in a multidimensional hyperbolic inverse problem. Zbl 0867.35115
Puel, J.-P.; Yamamoto, M.
1997
Synthesis of global convergence and adaptivity for a hyperbolic coefficient inverse problem in 3D. Zbl 1279.65116
Beilina, Larisa; Klibanov, Michael V.
2010
Discrepancy curves for multi-parameter regularization. Zbl 1280.47016
Lu, Shuai; Pereverzev, Sergei V.; Shao, Yuanyuan; Tautenhahn, Ulrich
2010
Uniqueness theorems from partial information of the potential on a graph. Zbl 1279.34028
Yang, Chuan-Fu; Yang, Xiao-Ping
2011
Inverse problem for the Schrödinger operator in an unbounded strip. Zbl 1157.35119
Cardoulis, L.; Cristofol, M.; Gaitan, P.
2008
Determining the potential in the Schrödinger equation from the Dirichlet to Neumann map by the boundary control method. Zbl 1095.35061
Avdonin, S.; Lenhart, S.; Protopopescu, V.
2005
Inverse source problem for a transmission problem for a parabolic equation. Zbl 1099.35166
Bellassoued, M.; Yamamoto, M.
2006
Decentralized and parallel primal and dual accelerated methods for stochastic convex programming problems. Zbl 1472.90087
Dvinskikh, Darina; Gasnikov, Alexander
2021
On the EIT problem for nonorientable surfaces. Zbl 1469.35246
Belishev, M. I.; Korikov, D. V.
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
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
On variational regularization: finite dimension and Hölder stability. Zbl 1466.65039
Mittal, Gaurav; Giri, Ankik Kumar
2021
Convexity properties of the normalized Steklov zeta function of a planar domain. Zbl 1469.35161
Jollivet, Alexandre
2021
Inverse extremum problem for a model of endovenous laser ablation. Zbl 1473.35564
Kovtanyuk, Andrey; Chebotarev, Alexander; Astrakhantseva, Alena
2021
Global stability result for parabolic Cauchy problems. Zbl 1481.35387
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 source problem for a distributed-order time fractional diffusion equation. Zbl 07173390
Cheng, Xiaoliang; Yuan, Lele; Liang, Kewei
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 problem of determining an order of the Caputo time-fractional derivative for a subdiffusion equation. Zbl 1461.35207
Alimov, Shavkat; Ashurov, Ravshan
2020
Modified Radon transform inversion using moments. Zbl 1451.44002
Choi, Hayoung; Ginting, Victor; Jafari, Farhad; Mnatsakanov, Robert
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
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
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
Inverse problems for a conformable fractional Sturm-Liouville operator. Zbl 1465.34025
2020
Sampling in thermoacoustic tomography. Zbl 1460.35405
Mathison, Chase
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
Inverse problem for elastic body with thin elastic inclusion. Zbl 1436.35189
Khludnev, Alexander M.
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
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
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
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
Stability estimate for an inverse problem of the convection-diffusion equation. Zbl 1431.35238
2020
Joint inversion of compact operators. Zbl 1431.65055
Mead, Jodi L.; Ford, James F.
2020
Inverse problem of breaking line identification by shape optimization. Zbl 1431.35252
Ghilli, Daria; Kunisch, Karl; Kovtunenko, Victor A.
2020
Optimal convergence rates for inexact Newton regularization with CG as inner iteration. Zbl 07173400
Neubauer, Andreas
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
A stability result for the determination of order in time-fractional diffusion equations. Zbl 1448.35554
Li, Zhiyuan; Huang, Xinchi; Yamamoto, Masahiro
2020
Recovering differential operators with two constant delays under Dirichlet/Neumann boundary conditions. Zbl 1443.34081
2020
A linear regularization method for a parameter identification problem in heat equation. Zbl 1473.35655
Mondal, Subhankar; Nair, M. Thamban
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
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
Microwave thermometry with potential application in non-invasive monitoring of hyperthermia. Zbl 1466.65171
Ghaderi Aram, Morteza; Beilina, Larisa; Dobsicek Trefna, Hana
2020
The factorization and monotonicity method for the defect in an open periodic waveguide. Zbl 1461.35227
Furuya, Takashi
2020
Stability in $$L^q$$-norm for inverse source parabolic problems. Zbl 1461.35239
Melnig, Elena-Alexandra
2020
On the Hochstadt-Lieberman problem for the Dirac operator with discontinuity. Zbl 1469.34035
Yang, Chuan-Fu; Yurko, Vjacheslav; Zhang, Ran
2020
Correlation of errors in inverse problems of optical coatings monitoring. Zbl 07330158
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 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
Inverse source problems for positive operators. I. Hypoelliptic diffusion and subdiffusion equations. Zbl 1430.35272
Ruzhansky, Michael; Tokmagambetov, Niyaz; Torebek, Berikbol T.
2019
On an inverse spectral problem for one integro-differential operator of fractional order. Zbl 1411.45005
Ignatiev, Mikhail
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
An inverse problem for the integro-differential Dirac system with partial information given on the convolution kernel. Zbl 1472.45007
Bondarenko, Natalia Pavlovna
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 a method for solving the inverse Sturm-Liouville problem. Zbl 1434.34026
2019
Inverse space-dependent source problem for a time-fractional diffusion equation by an adjoint problem approach. Zbl 07052535
Yan, Xiong Bin; Wei, Ting
2019
Cauchy difference priors for edge-preserving Bayesian inversion. Zbl 1417.49049
Markkanen, Markku; Roininen, Lassi; Huttunen, Janne M. J.; Lasanen, Sari
2019
Penalty-based smoothness conditions in convex variational regularization. Zbl 1483.65087
Hofmann, Bernd; Kindermann, Stefan; Mathé, Peter
2019
Convergence of Levenberg-Marquardt method for the inverse problem with an interior measurement. Zbl 1416.65418
Jiang, Yu; Nakamura, Gen
2019
Solvability of interior transmission problem for the diffusion equation by constructing its Green function. Zbl 1425.35236
Nakamura, Gen; Wang, Haibing
2019
Using Landweber iteration to quantify source conditions – a numerical study. Zbl 1480.65141
Gerth, Daniel
2019
On the travel time tomography problem in 3D. Zbl 1418.35375
Klibanov, Michael V.
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
Inverse source problems for the Korteweg-de Vries-Burgers equation with mixed boundary conditions. Zbl 1430.35271
Montoya, Cristhian
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
On the asymptotic study of transmission problem in a thin domain. Zbl 1411.35288
Benseghir, Aissa; Benseridi, Hamid; Dilmi, Mourad
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 07052543
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
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 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
Source identification problems for hyperbolic differential and difference equations. Zbl 1429.65117
Ashyralyev, Allaberen; Emharab, Fathi
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
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
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
Quasi solution of a backward space fractional diffusion equation. Zbl 1434.65232
Salehi Shayegan, Amir Hossein; Zakeri, Ali
2019
Optimization method in material bodies cloaking with respect to static physical fields. Zbl 1437.35227
Alekseev, Gennady V.; Tereshko, Dmitry A.
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
Magnetoencephalography inverse problem in the spheroid geometry. Zbl 1450.65142
Karpov, Petr I.; Zakharova, Tatyana
2019
Inverse problem for one-dimensional wave equation with matrix potential. Zbl 1421.35398
Khanfer, Ammar; Bukhgeim, Alexander
2019
On an inverse problem in photoacoustics. Zbl 1412.35204
Belishev, Mikhail I.; Langemann, Dirk; Mikhaylov, Alexander S.; Mikhaylov, Victor S.
2019
Reconstruction of a crack with the incident waves and measurements inside a penetrable cavity. Zbl 1427.35356
Guo, Jun; Yang, Qing; Cai, Mingjian; Yan, Guozheng; Guo, Zhongkai
2019
Shape sensitivity analysis for identification of voids under Navier’s boundary conditions in linear elasticity. Zbl 1419.35250
Méjri, Bochra
2019
An inverse problem for Sturm-Liouville operators on the half-line with complex weights. Zbl 1423.34028
Yurko, Vjacheslav
2019
Invertibility and stability for a generic class of Radon transforms with application to dynamic operators. Zbl 1429.44001
Rabieniaharatbar, Siamak
2019
Unique continuation for a reaction-diffusion system with cross diffusion. Zbl 1416.35057
Wu, Bin; Gao, Ying; Wang, Zewen; Chen, Qun
2019
Identification of point sources in an elliptic equation from interior measurements: application to a seawater intrusion problem. Zbl 1418.35379
2019
Partial inverse problems for the Sturm-Liouville operator on a star-shaped graph with mixed boundary conditions. Zbl 1407.34043
Bondarenko, Natalia Pavlovna
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
Imaging of buried objects from multi-frequency experimental data using a globally convergent inversion method. Zbl 1393.35288
Nguyen, Dinh-Liem; Klibanov, Michael V.; Nguyen, Loc H.; Fiddy, Michael A.
2018
A two-dimensional backward heat problem with statistical discrete data. Zbl 1382.35120
Minh, Nguyen Dang; To Duc, Khanh; Tuan, Nguyen Huy; Trong, Dang Duc
2018
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
On ill-posedness concepts, stable solvability and saturation. Zbl 06864435
Hofmann, Bernd; Plato, Robert
2018
Phaseless inverse problems with interference waves. Zbl 1401.35350
2018
Existence of variational source conditions for nonlinear inverse problems in Banach spaces. Zbl 06864434
Flemming, Jens
2018
Tensor based approach to the numerical treatment of the parameter estimation problems in mathematical immunology. Zbl 1383.92047
Zheltkova, Valeriya V.; Zheltkov, Dmitry A.; Grossman, Zvi; Bocharov, Gennady A.; Tyrtyshnikov, Eugene E.
2018
A combined numerical algorithm for reconstructing the mathematical model for tuberculosis transmission with control programs. Zbl 1383.92080
Kabanikhin, Sergey; Krivorotko, Olga; Kashtanova, Victoriya
2018
An inverse problem for the KdV equation with Neumann boundary measured data. Zbl 1383.35191
Kumarasamy, Sakthivel; Hasanov, Alemdar
2018
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### Cited by 3,309 Authors

 56 Klibanov, Michael V. 55 Yamamoto, Masahiro 54 Yang, Chuanfu 47 Banks, Harvey Thomas 46 Fu, Chuli 42 Hofmann, Bernd 42 Uhlmann, Gunther Alberto 37 Lesnic, Daniel 37 Nguyen Huy Tuan 33 Xiong, Xiangtuan 28 Bondarenko, Natalia P. 25 Kabanikhin, Sergeĭ Igorevich 25 Yang, Fan 25 Yurko, Vjacheslav Anatoljevich 24 Denisov, Alexander Mikhailovich 23 George, Santhosh 21 Kaltenbacher, Barbara 21 Salo, Mikko 20 Buterin, Sergey Alexandrovich 20 Hasanoǧlu, Alemdar 20 Maksimov, Vyacheslav Ivanovich 19 Đinh Nho Hào 19 Lassas, Matti J. 19 Li, Xiaoxiao 19 Nakamura, Gen 19 Nguyen, Loc Hoang 18 Cheng, Jin 18 Romanov, Vladimir Gavrilovich 18 Shishlenin, Maxim Aleksandrovich 17 Avdonin, Sergeĭ Anatol’evich 17 Bellassoued, Mourad 17 Harrach, Bastian 16 Han, Bo 16 Hu, Guanghui 16 Liu, Chein-Shan 16 Lorenzi, Alfredo 16 Mathé, Peter 16 Yagola, Anatoliĭ Grigor’evich 15 Ashyralyev, Allaberen 15 Beilina, Larisa 15 Chebotarev, Alexander Yurievich 15 Liu, Jijun 15 Lu, Shuai 15 Novikov, Roman G. 15 Ramm, Alexander G. 14 Belishev, Mikhail Igorevitch 14 Ikehata, Masaru 14 Imanuvilov, Oleg Yu. 14 Janno, Jaan 14 Kian, Yavar 14 Wei, Ting 14 Xu, Xiaochuan 14 Zou, Jun 13 Bredies, Kristian 13 Choulli, Mourad 13 Johansson, B. Tomas 13 Kamynin, Vitaly Leonidovich 13 Leonov, Aleksandr Sergeevich 13 Marin, Liviu 13 Mikhaylov, Victor S. 13 Oksanen, Lauri 13 Tzou, Leo 13 Wang, Yanfei 13 Wang, Yuping 13 Yan, Guozheng 12 Bakushinskĭ, Anatoliĭ Borisovich B. 12 Fëdorov, Vladimir Evgen’evich 12 Kress, Rainer 12 Li, Jingzhi 12 Monard, François 12 Siltanen, Samuli 12 Soltani, Fethi 12 Stefanov, Plamen D. 12 Tautenhahn, Ulrich 12 Viloche Bazán, Fermín S. 12 Wang, Jenn-Nan 11 Aida-Zade, Kamil Rajab 11 Băleanu, Dumitru I. 11 Boumenir, Amin A. 11 Cheng, Wei 11 Guillarmou, Colin 11 Hämarik, Uno 11 Hon, Yiu-Chung 11 Kindermann, Stefan 11 Li, Gongsheng 11 Lin, Yi-Hsuan 11 Nair, M. Thamban 11 Pyatkov, Sergeĭ Grigor’evich 11 Santacesaria, Matteo 11 Schuster, Thomas 11 Trong, Dang Duc 10 Ageev, Aleksandr Leonidovich 10 Anikonov, Yuriĭ Evgenievich 10 Antonova, Tat’yana Vladimirovna 10 de Hoop, Maarten V. 10 Durdiev, Durdimurod Kalandarovich 10 Garde, Henrik 10 Hohage, Thorsten 10 Kokurin, Mikhail Yur’evich 10 Liu, Hongyu ...and 3,209 more Authors
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### Cited in 401 Journals

 268 Journal of Inverse and Ill-Posed Problems 204 Inverse Problems 148 Inverse Problems in Science and Engineering 117 Applicable Analysis 88 Inverse Problems and Imaging 83 Journal of Computational and Applied Mathematics 80 Journal of Mathematical Analysis and Applications 61 Computers & Mathematics with Applications 59 Applied Mathematics and Computation 49 Computational Mathematics and Mathematical Physics 49 Differential Equations 47 Journal of Mathematical Sciences (New York) 39 Journal of Differential Equations 37 SIAM Journal on Mathematical Analysis 35 Applied Mathematics Letters 34 Mathematical Methods in the Applied Sciences 33 Numerical Functional Analysis and Optimization 33 Applied Numerical Mathematics 30 Journal of Computational Physics 30 Boundary Value Problems 26 SIAM Journal on Imaging Sciences 25 Mathematics and Computers in Simulation 25 SIAM Journal on Applied Mathematics 24 Siberian Mathematical Journal 24 Russian Mathematics 23 Engineering Analysis with Boundary Elements 22 Mathematical Notes 21 Numerische Mathematik 21 Journal of Integral Equations and Applications 21 Applied Mathematical Modelling 21 Analysis and Mathematical Physics 20 Abstract and Applied Analysis 19 Numerical Algorithms 19 Proceedings of the Steklov Institute of Mathematics 18 Zeitschrift für Analysis und ihre Anwendungen 18 Journal de Mathématiques Pures et Appliquées. Neuvième Série 18 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 17 Journal of Mathematical Physics 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 Computational and Applied Mathematics 15 Results in Mathematics 15 Comptes Rendus. Mathématique. Académie des Sciences, Paris 14 Computational Mathematics and Modeling 14 International Journal of Computer Mathematics 13 Bulletin of Mathematical Biology 13 Journal of Functional Analysis 13 SIAM Journal on Numerical Analysis 13 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 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 Complex Variables and Elliptic Equations 12 Journal of Siberian Federal University. Mathematics & Physics 11 Fractional Calculus & Applied Analysis 11 GEM - International Journal on Geomathematics 10 Computer Methods in Applied Mechanics and Engineering 10 Transactions of the American Mathematical Society 10 Acta Mathematicae Applicatae Sinica. English Series 10 Applied and Computational Harmonic Analysis 10 Doklady Mathematics 10 Journal of Inequalities and Applications 10 Nonlinear Analysis. Real World Applications 10 Advances in Difference Equations 10 Mathematical Biosciences and Engineering 10 Sibirskie Èlektronnye Matematicheskie Izvestiya 10 Journal of Theoretical Biology 9 Ukrainian Mathematical Journal 9 Journal of Scientific Computing 9 Journal of Mathematical Imaging and Vision 9 Advances in Computational Mathematics 9 Mathematical Modelling and Analysis 9 Computational Methods in Applied Mathematics 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 9 Mathematical Control and Related Fields 8 Mathematics of Computation 8 Applied Mathematics and Optimization 8 Integral Equations and Operator Theory 8 Journal of Approximation Theory 8 Journal of Optimization Theory and Applications 8 Quarterly of Applied Mathematics 8 Chinese Annals of Mathematics. Series B 8 Journal of Complexity 8 The Journal of Geometric Analysis 8 Automation and Remote Control 8 SIAM Journal on Scientific Computing 8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 8 Journal of Applied Mathematics and Computing 8 Discrete and Continuous Dynamical Systems. Series S 8 Advances in Mathematical Physics 7 Journal of Engineering Mathematics 7 Russian Journal of Numerical Analysis and Mathematical Modelling 7 Integral Transforms and Special Functions 7 Communications in Nonlinear Science and Numerical Simulation 6 Communications in Mathematical Physics 6 International Journal of Heat and Mass Transfer 6 Computing 6 SIAM Journal on Control and Optimization 6 Optimization ...and 301 more Journals
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### Cited in 51 Fields

 1,739 Partial differential equations (35-XX) 1,357 Numerical analysis (65-XX) 463 Operator theory (47-XX) 320 Ordinary differential equations (34-XX) 242 Biology and other natural sciences (92-XX) 232 Calculus of variations and optimal control; optimization (49-XX) 224 Optics, electromagnetic theory (78-XX) 217 Integral equations (45-XX) 197 Mechanics of deformable solids (74-XX) 166 Systems theory; control (93-XX) 148 Fluid mechanics (76-XX) 120 Statistics (62-XX) 117 Classical thermodynamics, heat transfer (80-XX) 113 Integral transforms, operational calculus (44-XX) 101 Information and communication theory, circuits (94-XX) 80 Operations research, mathematical programming (90-XX) 70 Harmonic analysis on Euclidean spaces (42-XX) 70 Geophysics (86-XX) 67 Functional analysis (46-XX) 63 Probability theory and stochastic processes (60-XX) 57 Global analysis, analysis on manifolds (58-XX) 55 Computer science (68-XX) 55 Quantum theory (81-XX) 52 Differential geometry (53-XX) 49 Real functions (26-XX) 47 Potential theory (31-XX) 40 Functions of a complex variable (30-XX) 34 Approximations and expansions (41-XX) 31 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 26 Statistical mechanics, structure of matter (82-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 20 Dynamical systems and ergodic theory (37-XX) 17 Special functions (33-XX) 13 Combinatorics (05-XX) 12 Difference and functional equations (39-XX) 10 Mechanics of particles and systems (70-XX) 6 Astronomy and astrophysics (85-XX) 5 Abstract harmonic analysis (43-XX) 5 Relativity and gravitational theory (83-XX) 4 History and biography (01-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Convex and discrete geometry (52-XX) 3 Mathematics education (97-XX) 2 Sequences, series, summability (40-XX) 1 General and overarching topics; collections (00-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)