Edit Profile (opens in new tab) Scherzer, Otmar Co-Author Distance Author ID: scherzer.otmar Published as: Scherzer, Otmar; Scherzer, O.; Scherzer, O more...less External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr Documents Indexed: 208 Publications since 1990, including 3 Books and 17 Additional arXiv Preprints 8 Contributions as Editor Reviewing Activity: 4 Reviews Co-Authors: 152 Co-Authors with 199 Joint Publications 3,985 Co-Co-Authors all top 5 Co-Authors 17 single-authored 17 Elbau, Peter 14 Haltmeier, Markus 13 Grasmair, Markus 10 Kirisits, Clemens 10 Pöschl, Christiane 9 Frigaard, Ian A. 8 Neubauer, Andreas 7 de Hoop, Maarten V. 7 Engl, Heinz W. 7 Kowar, Richard 6 Faucher, Florian 5 Aspri, Andrea 5 Beretta, Elena 5 Frischauf, Leon 5 Fuchs, Matthias 5 Glatz, Thomas 5 Groetsch, Charles W. 5 Jüttler, Bert 5 Leitão, Antonio 5 Mindrinos, Leonidas 5 Shi, Cong 4 Dong, Guozhi 4 Drexler, Wolfgang 4 Hanke-Bourgeois, Martin 4 Hinterberger, Walter 4 Hofmann, Bernd 4 Iglesias, José Antonio 4 Kaltenbacher, Barbara 4 Lenzen, Frank 4 Mercier, Gwenael 4 Muszkieta, Monika 4 Nashed, M. Zuhair 4 Qiu, Lingyun 4 Ramlau, Ronny 4 Setterqvist, Eric 4 Zangerl, Gerhard 3 Frühauf, Florian 3 Grossauer, Harald 3 Hubmer, Simon 3 Kabanikhin, Sergeĭ Igorevich 3 Kalimeris, Konstantinos 3 Kunisch, Karl 3 Lang, Lukas F. 3 Melching, Melanie 3 Naetar, Wolf 3 Osher, Stanley Joel 3 Parzer, Fabian 3 Pontow, Carsten 3 Quellmalz, Michael 3 Resmerita, Elena 3 Ritsch-Marte, Monika 3 Sadiq, Kamran 3 Schoisswohl, Armin 3 Sherina, Ekaterina Sergeevna 3 Weickert, Joachim 3 Widlak, Thomas 3 Yang, Huaiping 2 Abhau, Jochen 2 Andreev, Roman 2 Beigl, Alexander 2 Belhachmi, Zakaria 2 Binder, Andreas 2 Burger, Martin 2 Burgholzer, Peter 2 Constantin, Adrian 2 De Cezaro, Adriano 2 Fidler, Thomas 2 Frick, Klaus 2 Harrach, Bastian 2 Korolev, Yury M. 2 Krainz, Lisa 2 Liu, Mengyang 2 Obereder, Andreas 2 Öktem, Ozan 2 Paltauf, Günther 2 Patrone, Aniello Raffaele 2 Paule, Peter 2 Schmid, Julian 2 Schmutz, Denise 2 Schnörr, Christoph 2 Schotland, John C. 2 Steidl, Gabriele 2 Takacs, Thomas 2 Zabihian, Behrooz 2 Zulehner, Walter 1 Aichholzer, Oswin 1 Albani, Vinicius V. L. 1 Alfaro-Cuello, Mayte 1 Anderssen, Robert Scott 1 Bal, Guillaume 1 Banert, Sebastian 1 Barucq, Hélène 1 Boecker, Alina 1 Bonnefond, Xavier 1 Borzì, Alfio 1 Boţ, Radu Ioan 1 Boulanger, Jérôme 1 Chyzak, Frédéric 1 Ciak, René Angelo 1 Colutto, Sebastian ...and 52 more Co-Authors all top 5 Serials 31 Inverse Problems 11 Numerical Functional Analysis and Optimization 10 SIAM Journal on Applied Mathematics 9 Journal of Inverse and Ill-Posed Problems 9 Inverse Problems and Imaging 7 Journal of Mathematical Imaging and Vision 6 Mathematical Methods in the Applied Sciences 6 SIAM Journal on Imaging Sciences 5 Numerische Mathematik 4 Computing 4 International Journal of Computer Vision 4 Communications in Mathematical Sciences 3 Journal of Mathematical Analysis and Applications 3 SIAM Journal on Numerical Analysis 2 Applicable Analysis 2 Applied Mathematics and Computation 2 Applied Mathematics and Optimization 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Electronic Journal of Differential Equations (EJDE) 2 Real-Time Imaging 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Foundations of Computational Mathematics 2 Radon Series on Computational and Applied Mathematics 2 GEM - International Journal on Geomathematics 1 American Mathematical Monthly 1 Computer Methods in Applied Mechanics and Engineering 1 Communications on Pure and Applied Mathematics 1 IMA Journal of Applied Mathematics 1 IMA Journal of Numerical Analysis 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Mathematics of Computation 1 Journal of Differential Equations 1 Journal of Optimization Theory and Applications 1 Results in Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Computer Aided Geometric Design 1 Applied Numerical Mathematics 1 MCSS. Mathematics of Control, Signals, and Systems 1 CAD. Computer-Aided Design 1 Journal of Integral Equations and Applications 1 European Journal of Applied Mathematics 1 Applications of Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Computational Statistics and Data Analysis 1 Experimental Mathematics 1 Computing and Visualization in Science 1 Abstract and Applied Analysis 1 Annals of Combinatorics 1 Interfaces and Free Boundaries 1 Nonlinear Analysis. Real World Applications 1 Multiscale Modeling & Simulation 1 Inverse Problems in Science and Engineering 1 Applied Mathematical Sciences 1 Contemporary Mathematics 1 Mathematics in Industry 1 Nonlinear Analysis. Theory, Methods & Applications 1 Sampling Theory, Signal Processing, and Data Analysis 1 European Mathematical Society Magazine 1 Dissertationen der Johannes Kepler-Universität Linz all top 5 Fields 126 Numerical analysis (65-XX) 69 Partial differential equations (35-XX) 61 Operator theory (47-XX) 41 Computer science (68-XX) 33 Biology and other natural sciences (92-XX) 32 Information and communication theory, circuits (94-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 16 Fluid mechanics (76-XX) 14 Integral transforms, operational calculus (44-XX) 14 Optics, electromagnetic theory (78-XX) 8 Integral equations (45-XX) 8 Statistics (62-XX) 7 General and overarching topics; collections (00-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Mechanics of deformable solids (74-XX) 6 Geophysics (86-XX) 4 Functional analysis (46-XX) 3 Approximations and expansions (41-XX) 3 Differential geometry (53-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Commutative algebra (13-XX) 2 Special functions (33-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 178 Publications have been cited 3,093 times in 1,764 Documents Cited by ▼ Year ▼ Iterative regularization methods for nonlinear ill-posed problems. Zbl 1145.65037 Kaltenbacher, Barbara; Neubauer, Andreas; Scherzer, Otmar 339 2008 A convergence analysis of the Landweber iteration for nonlinear ill-posed problems. Zbl 0840.65049 Hanke, Martin; Neubauer, Andreas; Scherzer, Otmar 234 1995 Variational methods in imaging. Zbl 1177.68245 Scherzer, Otmar; Grasmair, Markus; Grossauer, Harald; Haltmeier, Markus; Lenzen, Frank 212 2009 A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators. Zbl 1131.65046 Hofmann, B.; Kaltenbacher, B.; Pöschl, C.; Scherzer, O. 150 2007 On convergence rates for the iteratively regularized Gauss-Newton method. Zbl 0881.65050 Blaschke, Barbara; Neubauer, Andreas; Scherzer, Otmar 83 1997 Convergence criteria of iterative methods based on Landweber iteration for solving nonlinear problems. Zbl 0842.65036 Scherzer, Otmar 82 1995 Inverse problems light: Numerical differentiation. Zbl 1002.65029 Hanke, Martin; Scherzer, Otmar 74 2001 Optimal a posteriori parameter choice for Tikhonov regularization for solving nonlinear ill-posed problems. Zbl 0799.65060 Scherzer, O.; Engl, H. W.; Kunisch, K. 63 1993 Sparse regularization with \(l^{q}\) penalty term. Zbl 1157.65033 Grasmair, Markus; Haltmeier, Markus; Scherzer, Otmar 56 2008 Error estimates for nonquadratic regularization and the relation to enhancement. Zbl 1103.65062 Resmerita, Elena; Scherzer, Otmar 48 2006 Necessary and sufficient conditions for linear convergence of \(\ell^1\)-regularization. Zbl 1217.65095 Grasmair, Markus; Scherzer, Otmar; Haltmeier, Markus 47 2011 Local analysis of inverse problems: Hölder stability and iterative reconstruction. Zbl 1319.47049 de Hoop, Maarten V.; Qiu, Lingyun; Scherzer, Otmar 39 2012 Kaczmarz methods for regularizing nonlinear ill-posed equations. I: Convergence analysis. Zbl 1123.65051 Haltmeier, Markus; Leitão, Antonio; Scherzer, Otmar 38 2007 Denoising with higher order derivatives of bounded variation and an application to parameter estimation. Zbl 0891.65103 Scherzer, O. 37 1998 Variational methods on the space of functions of bounded Hessian for convexification and denoising. Zbl 1098.49022 Hinterberger, W.; Scherzer, O. 35 2006 Factors influencing the ill-posedness of nonlinear problems. Zbl 0809.35157 Hofmann, Bernd; Scherzer, Otmar 35 1994 Relations between regularization and diffusion filtering. Zbl 0945.68183 Scherzer, Otmar; Weickert, Joachim 34 2000 A modified Landweber iteration for solving parameter estimation problems. Zbl 0915.65054 Scherzer, O. 34 1998 A convergence analysis of iterative methods for the solution of nonlinear ill-posed problems under affinely invariant conditions. Zbl 0915.65053 Deuflhard, Peter; Engl, Heinz W.; Scherzer, Otmar 34 1998 The use of Morozov’s discrepancy principle for Tikhonov regularization for solving nonlinear ill-posed problems. Zbl 0801.65053 Scherzer, O. 34 1993 A convergence analysis of a method of steepest descent and a two-step algorithm for nonlinear ill-posed problems. Zbl 0852.65048 Scherzer, Otmar 32 1996 Impedance-acoustic tomography. Zbl 1159.92027 Gebauer, Bastian; Scherzer, Otmar 32 2008 Kaczmarz methods for regularizing nonlinear ill-posed equations. II: Applications. Zbl 1135.65026 Haltmeier, Markus; Kowar, Richard; Leitão, Antonio; Scherzer, Otmar 30 2007 Error analysis of an equation error method for the identification of the diffusion coefficient in a quasi-linear parabolic differential equation. Zbl 0928.35198 Hanke, Martin; Scherzer, Otmar 29 1999 Filtered backprojection for thermoacoustic computed tomography in spherical geometry. Zbl 1085.65092 Haltmeier, M.; Schuster, T.; Scherzer, O. 29 2005 On steepest-descent-Kaczmarz methods for regularizing systems of nonlinear ill-posed equations. Zbl 1157.65032 De Cezaro, A.; Haltmeier, M.; Leitão, A.; Scherzer, O. 29 2008 Finite-dimensional approximation of Tikhonov regularized solutions of nonlinear ill-posed problems. Zbl 0691.65050 Neubauer, Andreas; Scherzer, Otmar 28 1990 Uniqueness and stable determination of forcing terms in linear partial differential equations with overspecified boundary data. Zbl 0809.35154 Engl, Heinz W.; Scherzer, Otmar; Yamamoto, Masahiro 28 1994 Hybrid tomography for conductivity imaging. Zbl 1252.92043 Widlak, Thomas; Scherzer, Otmar 28 2012 Thermoacoustic computed tomography with large planar receivers. Zbl 1065.65143 Haltmeier, M.; Scherzer, O.; Burgholzer, P.; Paltauf, G. 25 2004 Handbook of mathematical methods in imaging. In 3 volumes. Zbl 1259.00006 24 2011 A direct method for photoacoustic tomography with inhomogeneous sound speed. Zbl 1382.65289 Belhachmi, Zakaria; Glatz, Thomas; Scherzer, Otmar 23 2016 An analysis of a multi-level projected steepest descent iteration for nonlinear inverse problems in Banach spaces subject to stability constraints. Zbl 1317.65133 de Hoop, Maarten V.; Qiu, Lingyun; Scherzer, Otmar 22 2015 Least squares and bounded variation regularization with nondifferentiable functionals. Zbl 0914.65067 Nashed, M. Z.; Scherzer, O. 21 1998 Attenuation models in photoacoustics. Zbl 1345.92089 Kowar, Richard; Scherzer, Otmar 20 2012 Thermoacoustic tomography and the circular Radon transform: Exact inversion formula. Zbl 1132.65113 Haltmeier, Markus; Scherzer, Otmar; Burgholzer, Peter; Nuster, Robert; Paltauf, Guenther 19 2007 A convergence rate result for a steepest descent method and a minimal error method for the solution of nonlinear ill-posed problems. Zbl 0826.65053 Neubauer, A.; Scherzer, O. 19 1995 Analysis of regularization methods for the solution of ill-posed problems involving discontinuous operators. Zbl 1092.65046 Frühauf, F.; Scherzer, O.; Leitão, A. 19 2005 Convergence analysis of a Landweber-Kaczmarz method for solving nonlinear ill-posed problems. Zbl 1048.65055 Kowar, R.; Scherzer, O. 19 2002 Analysis of regularized total variation penalty methods for denoising. Zbl 0866.65041 Dobson, David; Scherzer, Otmar 19 1996 Regularization of ill-posed linear equations by the non-stationary augmented Lagrangian method. Zbl 1203.90156 Frick, Klaus; Scherzer, Otmar 19 2010 Inverse total variation flow. Zbl 1147.49026 Burger, M.; Frick, K.; Osher, S.; Scherzer, O. 18 2007 Quantitative photoacoustic tomography with piecewise constant material parameters. Zbl 1361.94018 Naetar, W.; Scherzer, O. 18 2014 Lamé parameter estimation from static displacement field measurements in the framework of nonlinear inverse problems. Zbl 1401.65060 Hubmer, Simon; Sherina, Ekaterina; Neubauer, Andreas; Scherzer, Otmar 18 2018 Inverse boundary value problem for the Helmholtz equation: quantitative conditional Lipschitz stability estimates. Zbl 1351.35258 Beretta, Elena; de Hoop, Maarten V.; Faucher, Florian; Scherzer, Otmar 17 2016 Optimal convergence rates results for linear inverse problems in Hilbert spaces. Zbl 1352.65146 Albani, V.; Elbau, P.; De Hoop, M. V.; Scherzer, O. 17 2016 Stability in the linearized problem of quantitative elastography. Zbl 1309.92050 Widlak, Thomas; Scherzer, Otmar 17 2015 Inverse scale space theory for inverse problems. Zbl 0991.68132 Scherzer, Otmar; Groetsch, Chuck 17 2001 Shape metrics based on elastic deformations. Zbl 1490.68248 Fuchs, Matthias; Jüttler, Bert; Scherzer, Otmar; Yang, Huaiping 17 2009 Tube methods for BV regularization. Zbl 1101.68927 Hinterberger, Walter; Hintermüller, Michael; Kunisch, Karl; von Oehsen, Markus; Scherzer, Otmar 16 2003 Discretization of variational regularization in Banach spaces. Zbl 1200.47018 Pöschl, Christiane; Resmerita, Elena; Scherzer, Otmar 16 2010 Simultaneous reconstructions of absorption density and wave speed with photoacoustic measurements. Zbl 1257.35198 Kirsch, Andreas; Scherzer, Otmar 16 2012 Photo- and thermo-acoustic imaging. Zbl 1129.92050 Patch, Sarah K.; Scherzer, Otmar 15 2007 On the relation between constraint regularization, level sets, and shape optimization. Zbl 1030.65062 Leitão, A.; Scherzer, O. 15 2003 A penalization method for calculating the flow beneath traveling water waves of large amplitude. Zbl 1321.35146 Constantin, A.; Kalimeris, K.; Scherzer, O. 15 2015 The residual method for regularizing ill-posed problems. Zbl 1247.65076 Grasmair, Markus; Haltmeier, Markus; Scherzer, Otmar 14 2011 Analysis of optical flow models in the framework of the calculus of variations. Zbl 1016.49002 Hinterberger, W.; Scherzer, O.; Schnörr, C.; Weickert, J. 14 2002 Handbook of mathematical methods in imaging. In 3 volumes. 2nd edition. Zbl 1322.68001 14 2015 Local ill-posedness and source conditions of operator equations in Hilbert spaces. Zbl 0915.65052 Hofmann, Bernd; Scherzer, Otmar 13 1998 Exact series reconstruction in photoacoustic tomography with circular integrating detectors. Zbl 1185.65240 Zangerl, Gerhard; Scherzer, Otmar; Haltmeier, Markus 13 2009 An iterative multi level algorithm for solving nonlinear ill-posed problems. Zbl 0918.65041 Scherzer, Otmar 13 1998 Using the complex Ginzburg-Landau equation for digital inpainting in 2D and 3D. Zbl 1067.68739 Grossauer, Harald; Scherzer, Otmar 13 2003 Exact reconstruction in photoacoustic tomography with circular integrating detectors. II: Spherical geometry. Zbl 1204.65165 Zangerl, Gerhard; Scherzer, Otmar 13 2010 Uniaxial exchange flows of two Bingham fluids in a cylindrical duct. Zbl 0928.76010 Frigaard, I. A.; Scherzer, O. 12 1998 Approximations of steady periodic water waves in flows with constant vorticity. Zbl 1330.76020 Constantin, A.; Kalimeris, K.; Scherzer, O. 12 2015 Sparsity regularization in inverse problems. Zbl 1369.00102 12 2017 Generalized convergence rates results for linear inverse problems in Hilbert spaces. Zbl 1378.65118 Andreev, Roman; Elbau, Peter; de Hoop, Maarten V.; Qiu, Lingyun; Scherzer, Otmar 12 2015 The Levenberg-Marquardt iteration for numerical inversion of the power density operator. Zbl 1273.35307 Bal, Guillaume; Naetar, Wolf; Scherzer, Otmar; Schotland, John 12 2013 Causality analysis of frequency-dependent wave attenuation. Zbl 1381.76325 Kowar, Richard; Scherzer, Otmar; Bonnefond, Xavier 12 2011 Convex regularization of local volatility models from option prices: convergence analysis and rates. Zbl 1263.47086 De Cezaro, A.; Scherzer, O.; Zubelli, J. P. 11 2012 \(G\)-norm properties of bounded variation regularization. Zbl 1082.49003 Osher, Stanley; Scherzer, Otmar 11 2004 Convergence rates of iterated Tikhonov regularized solutions of nonlinear ill-posed problems. Zbl 0791.65040 Scherzer, O. 11 1993 Exact solutions of one-dimensional total generalized variation. Zbl 1316.49021 Pöschl, Christiane; Scherzer, Otmar 11 2015 Convergence rates results for iterative methods for solving nonlinear ill-posed problems. Zbl 0998.65058 Engl, H. W.; Scherzer, O. 10 2000 Characterization of minimizers of convex regularization functionals. Zbl 1163.47004 Pöschl, Christiane; Scherzer, Otmar 10 2008 On the Landweber iteration for nonlinear ill-posed problems. Zbl 0879.65037 Binder, A.; Hanke, M.; Scherzer, O. 10 1996 Non-local functionals for imaging. Zbl 1242.49003 Boulanger, Jérôme; Elbau, Peter; Pontow, Carsten; Scherzer, Otmar 10 2011 On the \(X\)-ray transform of planar symmetric 2-tensors. Zbl 1381.44010 Sadiq, Kamran; Scherzer, Otmar; Tamasan, Alexandru 10 2016 Iteration methods for solving a two dimensional inverse problem for a hyperbolic equation. Zbl 1028.35166 Kabanikhin, S. I.; Scherzer, O.; Shishlenin, M. A. 10 2003 The effects of yield stress variation on uniaxial exchange flows of two Bingham fluids in a pipe. Zbl 0988.35007 Frigaard, I. A.; Scherzer, O. 9 2000 Weakly closed nonlinear operators and parameter identification in parabolic equations by Tikhonov regularization. Zbl 0835.65078 Binder, Andreas; Engl, Heinz W.; Groetsch, Charles W.; Neubauer, Andreas; Scherzer, Otmar 9 1994 Inverse problems, image analysis, and medical imaging. AMS special session on interaction of inverse problems and image analysis, New Orleans, LA, USA, January 10–13, 2001. Zbl 1003.00013 9 2002 Mathematical methods of optical coherence tomography. 2nd edition. Zbl 1395.94029 Elbau, Peter; Mindrinos, Leonidas; Scherzer, Otmar 9 2015 Simultaneous optical flow and source estimation: space-time discretization and preconditioning. Zbl 1321.65103 Andreev, R.; Scherzer, O.; Zulehner, W. 9 2015 Data driven regularization by projection. Zbl 1502.65030 Aspri, Andrea; Korolev, Yury; Scherzer, Otmar 9 2020 Detecting interfaces in a parabolic-elliptic problem from surface measurements. Zbl 1140.65066 Frühauf, Florian; Gebauer, Bastian; Scherzer, Otmar 8 2007 Circular integrating detectors in photo and thermoacoustic tomography. Zbl 1156.92027 Zangerl, Gerhard; Scherzer, Otmar; Haltmeier, Markus 8 2009 A note on convergence of solutions of total variation regularized linear inverse problems. Zbl 1516.35514 Iglesias, José A.; Mercier, Gwenael; Scherzer, Otmar 8 2018 Reconstruction formulas for photoacoustic sectional imaging. Zbl 1241.78020 Elbau, Peter; Scherzer, Otmar; Schulze, Rainer 7 2012 The construction of orthonormal wavelets using symbolic methods and a matrix analytical approach for wavelets on the interval. Zbl 0974.42027 Chyzak, Frédéric; Paule, Peter; Scherzer, Otmar; Schoisswohl, Armin; Zimmermann, Burkhard 7 2001 Regularization methods for blind deconvolution and blind source separation problems. Zbl 1002.93060 Burger, Martin; Scherzer, Otmar 7 2001 A regularization scheme for an inverse problem in age-structured populations. Zbl 0841.92021 Engl, Heinz W.; Rundell, William; Scherzer, Otmar 7 1994 A variational setting for volume constrained image registration. Zbl 1204.68247 Pöschl, Christiane; Modersitzki, Jan; Scherzer, Otmar 7 2010 The tangential cone condition for some coefficient identification model problems in parabolic PDEs. Zbl 1487.35343 Kaltenbacher, Barbara; Nguyen, Tram Thi Ngoc; Scherzer, Otmar 7 2021 Regularization for curve representations: Uniform convergence for discontinuous solutions of ill-posed problems. Zbl 0916.65128 Neubauer, Andreas; Scherzer, Otmar 6 1998 Uniqueness and non-uniqueness in the steady displacement of two-visco-plastic fluids. Zbl 0972.35004 Frigaard, I.; Scherzer, O.; Sona, G. 6 2001 Variational methods and maximal residual wall layers. Zbl 1153.76317 Frigaard, I. A.; Leimgruber, S.; Scherzer, O. 6 2003 Stable approximation of nondifferentiable optimization problems with variational inequalities. Zbl 0868.49008 Nashed, M. Zuhair; Scherzer, Otmar 6 1997 Optical flow on evolving surfaces with space and time regularisation. Zbl 1354.92042 Kirisits, Clemens; Lang, Lukas F.; Scherzer, Otmar 6 2015 A variational algorithm for the detection of line segments. Zbl 1318.68184 Beretta, Elena; Grasmair, Markus; Muszkieta, Monika; Scherzer, Otmar 6 2014 Convergence rates of first- and higher-order dynamics for solving linear ill-posed problems. Zbl 07605400 Boţ, Radu; Dong, Guozhi; Elbau, Peter; Scherzer, Otmar 5 2022 On convergence rates of adaptive ensemble Kalman inversion for linear ill-posed problems. Zbl 1504.47028 Parzer, Fabian; Scherzer, Otmar 2 2022 Data driven reconstruction using frames and Riesz bases. Zbl 1523.65047 Aspri, Andrea; Frischauf, Leon; Korolev, Yury; Scherzer, Otmar 1 2022 The tangential cone condition for some coefficient identification model problems in parabolic PDEs. Zbl 1487.35343 Kaltenbacher, Barbara; Nguyen, Tram Thi Ngoc; Scherzer, Otmar 7 2021 Fourier reconstruction for diffraction tomography of an object rotated into arbitrary orientations. Zbl 1505.65125 Kirisits, Clemens; Quellmalz, Michael; Ritsch-Marte, Monika; Scherzer, Otmar; Setterqvist, Eric; Steidl, Gabriele 3 2021 Challenges for optical flow estimates in elastography. Zbl 1484.68262 Sherina, Ekaterina; Krainz, Lisa; Hubmer, Simon; Drexler, Wolfgang; Scherzer, Otmar 3 2021 Inverse problems of single molecule localization microscopy. Zbl 1487.35358 Lopez-Martinez, Montse; Mercier, Gwenael; Sadiq, Kamran; Scherzer, Otmar; Schneider, Magdalena; Schotland, John C.; Schütz, Gerhard J.; Telschow, Roger 1 2021 Data driven regularization by projection. Zbl 1502.65030 Aspri, Andrea; Korolev, Yury; Scherzer, Otmar 9 2020 Displacement field estimation from OCT images utilizing speckle information with applications in quantitative elastography. Zbl 1454.78024 Sherina, Ekaterina; Krainz, Lisa; Hubmer, Simon; Drexler, Wolfgang; Scherzer, Otmar 5 2020 Preconditioning inverse problems for hyperbolic equations with applications to photoacoustic tomography. Zbl 1485.65064 Beigl, Alexander; Scherzer, Otmar; Sogn, Jarle; Zulehner, Walter 4 2020 A data-driven iteratively regularized Landweber iteration. Zbl 07241785 Aspri, A.; Banert, S.; Öktem, O.; Scherzer, O. 4 2020 Motion reconstruction for optical tomography of trapped objects. Zbl 1469.78012 Elbau, Peter; Ritsch-Marte, Monika; Scherzer, Otmar; Schmutz, Denise 4 2020 Adjoint-state method for hybridizable discontinuous Galerkin discretization, application to the inverse acoustic wave problem. Zbl 1506.65193 Faucher, Florian; Scherzer, Otmar 3 2020 Asymptotic expansions for higher order elliptic equations with an application to quantitative photoacoustic tomography. Zbl 1455.35074 Aspri, Andrea; Beretta, Elena; Scherzer, Otmar; Muszkieta, Monika 2 2020 Regularization with metric double integrals for vector tomography. Zbl 1523.47024 Melching, Melanie; Scherzer, Otmar 2 2020 The Radon transform. The first 100 years and beyond. Zbl 1420.44001 4 2019 Invariant \(\varphi \)-minimal sets and total variation denoising on graphs. Zbl 1439.49066 Kirisits, Clemens; Scherzer, Otmar; Setterqvist, Eric 2 2019 Regularization with metric double integrals of functions with values in a set of vectors. Zbl 1451.49038 Ciak, René; Melching, Melanie; Scherzer, Otmar 2 2019 Lamé parameter estimation from static displacement field measurements in the framework of nonlinear inverse problems. Zbl 1401.65060 Hubmer, Simon; Sherina, Ekaterina; Neubauer, Andreas; Scherzer, Otmar 18 2018 A note on convergence of solutions of total variation regularized linear inverse problems. Zbl 1516.35514 Iglesias, José A.; Mercier, Gwenael; Scherzer, Otmar 8 2018 Shape-aware matching of implicit surfaces based on thin shell energies. Zbl 1408.49010 Iglesias, José A.; Rumpf, Martin; Scherzer, Otmar 6 2018 Reconstruction formulas for photoacoustic imaging in attenuating media. Zbl 1474.94027 Scherzer, Otmar; Shi, Cong 3 2018 Quantitative photoacoustic imaging in the acoustic regime using SPIM. Zbl 1393.35158 Beigl, Alexander; Elbau, Peter; Sadiq, Kamran; Scherzer, Otmar 3 2018 Quantitative reconstructions in multi-modal photoacoustic and optical coherence tomography imaging. Zbl 1400.78016 Elbau, P.; Mindrinos, L.; Scherzer, O. 2 2018 The inverse scattering problem for orthotropic media in polarization-sensitive optical coherence tomography. Zbl 1393.35286 Elbau, Peter; Mindrinos, Leonidas; Scherzer, Otmar 2 2018 Sparsity regularization in inverse problems. Zbl 1369.00102 12 2017 Singular values of the attenuated photoacoustic imaging operator. Zbl 1401.35329 Elbau, Peter; Scherzer, Otmar; Shi, Cong 6 2017 Inverse problems of combined photoacoustic and optical coherence tomography. Zbl 1355.92058 Elbau, Peter; Mindrinos, Leonidas; Scherzer, Otmar 4 2017 Critical yield numbers of rigid particles settling in Bingham fluids and Cheeger sets. Zbl 1365.49040 Frigaard, Ian A.; Iglesias, José A.; Mercier, Gwenael; Pöschl, Christiane; Scherzer, Otmar 3 2017 Convergence rates for regularization functionals with polyconvex integrands. Zbl 1376.49047 Kirisits, Clemens; Scherzer, Otmar 2 2017 Photoacoustic tomography with spatially varying compressibility and density. Zbl 1355.65124 Belhachmi, Zakaria; Glatz, Thomas; Scherzer, Otmar 2 2017 A variational method for quantitative photoacoustic tomography with piecewise constant coefficients. Zbl 1404.35483 Beretta, Elena; Muszkieta, Monika; Naetar, Wolf; Scherzer, Otmar 2 2017 Convergence of Tikhonov regularization for solving ill-posed operator equations with solutions defined on surfaces. Zbl 1375.47002 Dong, Guozhi; Jüttler, Bert; Scherzer, Otmar; Takacs, Thomas 1 2017 Optical flow on evolving sphere-like surfaces. Zbl 1366.35200 Lang, Lukas F.; Scherzer, Otmar 1 2017 Nonlinear flows for displacement correction and applications in tomography. Zbl 1489.94010 Dong, Guozhi; Scherzer, Otmar 1 2017 A direct method for photoacoustic tomography with inhomogeneous sound speed. Zbl 1382.65289 Belhachmi, Zakaria; Glatz, Thomas; Scherzer, Otmar 23 2016 Inverse boundary value problem for the Helmholtz equation: quantitative conditional Lipschitz stability estimates. Zbl 1351.35258 Beretta, Elena; de Hoop, Maarten V.; Faucher, Florian; Scherzer, Otmar 17 2016 Optimal convergence rates results for linear inverse problems in Hilbert spaces. Zbl 1352.65146 Albani, V.; Elbau, P.; De Hoop, M. V.; Scherzer, O. 17 2016 On the \(X\)-ray transform of planar symmetric 2-tensors. Zbl 1381.44010 Sadiq, Kamran; Scherzer, Otmar; Tamasan, Alexandru 10 2016 An analysis of a multi-level projected steepest descent iteration for nonlinear inverse problems in Banach spaces subject to stability constraints. Zbl 1317.65133 de Hoop, Maarten V.; Qiu, Lingyun; Scherzer, Otmar 22 2015 Stability in the linearized problem of quantitative elastography. Zbl 1309.92050 Widlak, Thomas; Scherzer, Otmar 17 2015 A penalization method for calculating the flow beneath traveling water waves of large amplitude. Zbl 1321.35146 Constantin, A.; Kalimeris, K.; Scherzer, O. 15 2015 Handbook of mathematical methods in imaging. In 3 volumes. 2nd edition. Zbl 1322.68001 14 2015 Approximations of steady periodic water waves in flows with constant vorticity. Zbl 1330.76020 Constantin, A.; Kalimeris, K.; Scherzer, O. 12 2015 Generalized convergence rates results for linear inverse problems in Hilbert spaces. Zbl 1378.65118 Andreev, Roman; Elbau, Peter; de Hoop, Maarten V.; Qiu, Lingyun; Scherzer, Otmar 12 2015 Exact solutions of one-dimensional total generalized variation. Zbl 1316.49021 Pöschl, Christiane; Scherzer, Otmar 11 2015 Mathematical methods of optical coherence tomography. 2nd edition. Zbl 1395.94029 Elbau, Peter; Mindrinos, Leonidas; Scherzer, Otmar 9 2015 Simultaneous optical flow and source estimation: space-time discretization and preconditioning. Zbl 1321.65103 Andreev, R.; Scherzer, O.; Zulehner, W. 9 2015 Optical flow on evolving surfaces with space and time regularisation. Zbl 1354.92042 Kirisits, Clemens; Lang, Lukas F.; Scherzer, Otmar 6 2015 Finite-dimensional approximation of convex regularization via hexagonal pixel grids. Zbl 1312.65089 Kirisits, Clemens; Pöschl, Christiane; Resmerita, Elena; Scherzer, Otmar 3 2015 Modelling the effect of focusing detectors in photoacoustic sectional imaging. Zbl 1323.35210 Elbau, P.; Scherzer, O. 3 2015 Texture generation for photoacoustic elastography. Zbl 1343.94009 Glatz, Thomas; Scherzer, Otmar; Widlak, Thomas 2 2015 Distance measures and applications to multimodal variational imaging. 2nd edition. Zbl 1331.65052 Pöschl, Christiane; Scherzer, Otmar 1 2015 Infinite dimensional optimization models and PDEs for dejittering. Zbl 1444.68282 Dong, Guozhi; Patrone, Aniello Raffaele; Scherzer, Otmar; Öktem, Ozan 1 2015 Quantitative photoacoustic tomography with piecewise constant material parameters. Zbl 1361.94018 Naetar, W.; Scherzer, O. 18 2014 A variational algorithm for the detection of line segments. Zbl 1318.68184 Beretta, Elena; Grasmair, Markus; Muszkieta, Monika; Scherzer, Otmar 6 2014 Decomposition of optical flow on the sphere. Zbl 1327.92023 Kirisits, Clemens; Lang, Lukas F.; Scherzer, Otmar 3 2014 Derivatives of isogeometric functions on \(n\)-dimensional rational patches in \(\mathbb R^d\). Zbl 1364.65047 Takacs, Thomas; Jüttler, Bert; Scherzer, Otmar 1 2014 The Levenberg-Marquardt iteration for numerical inversion of the power density operator. Zbl 1273.35307 Bal, Guillaume; Naetar, Wolf; Scherzer, Otmar; Schotland, John 12 2013 An approach to the minimization of the Mumford-Shah functional using \(\varGamma\)-convergence and topological asymptotic expansion. Zbl 1277.35347 Grasmair, Markus; Muszkieta, Monika; Scherzer, Otmar 5 2013 Photoacoustic imaging in attenuating acoustic media based on strongly causal models. Zbl 1276.35141 Kalimeris, Konstantinos; Scherzer, Otmar 2 2013 Shape spaces via medial axis transforms for segmentation of complex geometry in 3D voxel data. Zbl 06174325 Abhau, Jochen; Aichholzer, Oswin; Colutto, Sebastian; Kornberger, Bernhard; Scherzer, Otmar 1 2013 Local analysis of inverse problems: Hölder stability and iterative reconstruction. Zbl 1319.47049 de Hoop, Maarten V.; Qiu, Lingyun; Scherzer, Otmar 39 2012 Hybrid tomography for conductivity imaging. Zbl 1252.92043 Widlak, Thomas; Scherzer, Otmar 28 2012 Attenuation models in photoacoustics. Zbl 1345.92089 Kowar, Richard; Scherzer, Otmar 20 2012 Simultaneous reconstructions of absorption density and wave speed with photoacoustic measurements. Zbl 1257.35198 Kirsch, Andreas; Scherzer, Otmar 16 2012 Convex regularization of local volatility models from option prices: convergence analysis and rates. Zbl 1263.47086 De Cezaro, A.; Scherzer, O.; Zubelli, J. P. 11 2012 Reconstruction formulas for photoacoustic sectional imaging. Zbl 1241.78020 Elbau, Peter; Scherzer, Otmar; Schulze, Rainer 7 2012 Shape reconstruction with a priori knowledge based on integral invariants. Zbl 1250.65152 Fidler, Thomas; Grasmair, Markus; Scherzer, Otmar 3 2012 Analytical evaluations of double integral expressions related to total variation. Zbl 1250.65045 Pontow, Carsten; Scherzer, Otmar 2 2012 Convergence of variational regularization methods for imaging on Riemannian manifolds. Zbl 1234.65023 Thorstensen, Nicolas; Scherzer, Otmar 1 2012 Necessary and sufficient conditions for linear convergence of \(\ell^1\)-regularization. Zbl 1217.65095 Grasmair, Markus; Scherzer, Otmar; Haltmeier, Markus 47 2011 Handbook of mathematical methods in imaging. In 3 volumes. Zbl 1259.00006 24 2011 The residual method for regularizing ill-posed problems. Zbl 1247.65076 Grasmair, Markus; Haltmeier, Markus; Scherzer, Otmar 14 2011 Causality analysis of frequency-dependent wave attenuation. Zbl 1381.76325 Kowar, Richard; Scherzer, Otmar; Bonnefond, Xavier 12 2011 Non-local functionals for imaging. Zbl 1242.49003 Boulanger, Jérôme; Elbau, Peter; Pontow, Carsten; Scherzer, Otmar 10 2011 Texture enhancing based on variational image decomposition. Zbl 1220.68112 Frühauf, Florian; Pontow, Carsten; Scherzer, Otmar 3 2011 Partial differential equations for zooming, deinterlacing and dejittering. Zbl 1235.68312 Lenzen, Frank; Scherzer, Otmar 3 2011 Regularization of ill-posed linear equations by the non-stationary augmented Lagrangian method. Zbl 1203.90156 Frick, Klaus; Scherzer, Otmar 19 2010 Discretization of variational regularization in Banach spaces. Zbl 1200.47018 Pöschl, Christiane; Resmerita, Elena; Scherzer, Otmar 16 2010 Exact reconstruction in photoacoustic tomography with circular integrating detectors. II: Spherical geometry. Zbl 1204.65165 Zangerl, Gerhard; Scherzer, Otmar 13 2010 A variational setting for volume constrained image registration. Zbl 1204.68247 Pöschl, Christiane; Modersitzki, Jan; Scherzer, Otmar 7 2010 Sparsity in inverse geophysical problems. Zbl 1197.86015 Grasmair, Markus; Haltmeier, Markus; Scherzer, Otmar 2 2010 Evolution by non-convex functionals. Zbl 1202.35008 Elbau, Peter; Grasmair, Markus; Lenzen, Frank; Scherzer, Otmar 1 2010 Variational methods in imaging. Zbl 1177.68245 Scherzer, Otmar; Grasmair, Markus; Grossauer, Harald; Haltmeier, Markus; Lenzen, Frank 212 2009 Shape metrics based on elastic deformations. Zbl 1490.68248 Fuchs, Matthias; Jüttler, Bert; Scherzer, Otmar; Yang, Huaiping 17 2009 Exact series reconstruction in photoacoustic tomography with circular integrating detectors. Zbl 1185.65240 Zangerl, Gerhard; Scherzer, Otmar; Haltmeier, Markus 13 2009 Circular integrating detectors in photo and thermoacoustic tomography. Zbl 1156.92027 Zangerl, Gerhard; Scherzer, Otmar; Haltmeier, Markus 8 2009 Combined evolution of level sets and B-spline curves for imaging. Zbl 1213.65034 Fuchs, M.; Jüttler, B.; Scherzer, O.; Yang, H. 2 2009 Iterative regularization methods for nonlinear ill-posed problems. Zbl 1145.65037 Kaltenbacher, Barbara; Neubauer, Andreas; Scherzer, Otmar 339 2008 Sparse regularization with \(l^{q}\) penalty term. Zbl 1157.65033 Grasmair, Markus; Haltmeier, Markus; Scherzer, Otmar 56 2008 Impedance-acoustic tomography. Zbl 1159.92027 Gebauer, Bastian; Scherzer, Otmar 32 2008 On steepest-descent-Kaczmarz methods for regularizing systems of nonlinear ill-posed equations. Zbl 1157.65032 De Cezaro, A.; Haltmeier, M.; Leitão, A.; Scherzer, O. 29 2008 Characterization of minimizers of convex regularization functionals. Zbl 1163.47004 Pöschl, Christiane; Scherzer, Otmar 10 2008 Identifiability and reconstruction of shapes from integral invariants. Zbl 1156.65066 Fidler, Thomas; Grasmair, Markus; Scherzer, Otmar 3 2008 Dual evolution of planar parametric spline curves and T-spline level sets. Zbl 1206.65081 Feichtinger, Robert; Fuchs, Matthias; Jüttler, Bert; Scherzer, Otmar; Yang, Huaiping 2 2008 Regularized reconstruction of shapes with statistical a priori knowledge. Zbl 1477.68470 Fuchs, Matthias; Scherzer, Otmar 2 2008 A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators. Zbl 1131.65046 Hofmann, B.; Kaltenbacher, B.; Pöschl, C.; Scherzer, O. 150 2007 Kaczmarz methods for regularizing nonlinear ill-posed equations. I: Convergence analysis. Zbl 1123.65051 Haltmeier, Markus; Leitão, Antonio; Scherzer, Otmar 38 2007 Kaczmarz methods for regularizing nonlinear ill-posed equations. II: Applications. Zbl 1135.65026 Haltmeier, Markus; Kowar, Richard; Leitão, Antonio; Scherzer, Otmar 30 2007 ...and 78 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,182 Authors 81 Scherzer, Otmar 42 Hofmann, Bernd 38 Kaltenbacher, Barbara 36 Han, Bo 34 Haltmeier, Markus 28 Jin, Qinian 24 Ramlau, Ronny 22 Burger, Martin 22 George, Santhosh 20 Kindermann, Stefan 20 Neubauer, Andreas 18 Hohage, Thorsten 18 Wang, Wei 17 Smirnova, Alexandra B. 16 Leitão, Antonio 15 Ammari, Habib 15 Frigaard, Ian A. 15 Mahale, Pallavi 15 Steidl, Gabriele 14 Bakushinskĭ, Anatoliĭ Borisovich B. 14 Elbau, Peter 14 Khan, Akhtar Ali 14 Lu, Shuai 14 Schönlieb, Carola-Bibiane 13 De Cezaro, Adriano 13 Grasmair, Markus 13 Jin, Bangti 12 Alberti, Giovanni S. 12 Hasanoǧlu, Alemdar 12 Hubmer, Simon 12 Öktem, Ozan 11 Beretta, Elena 11 de Hoop, Maarten V. 11 Rundell, William 11 Tong, Shanshan 10 Bal, Guillaume 10 Bredies, Kristian 10 Giri, Ankik Kumar 10 Iglesias, José Antonio 10 Kabanikhin, Sergeĭ Igorevich 10 Li, Li 10 Lorenz, Dirk Alfred 10 Mittal, Gaurav 10 Nair, M. Thamban 10 Qiu, Lingyun 10 Zhang, Ye 10 Zhong, Min 9 Argyros, Ioannis Konstantinos 9 Beilina, Larisa 9 Fu, Zhenwu 9 Harrach, Bastian 9 Holler, Martin 9 Mathé, Peter 9 Triki, Faouzi 9 Wei, Ting 9 Weickert, Joachim 8 Chen, Ke 8 Cheng, Jin 8 Clason, Christian 8 Đinh Nho Hào 8 Gerth, Daniel 8 Knudsen, Kim M. 8 Kowar, Richard 8 Kunisch, Karl 8 Lu, Xiliang 8 Maass, Peter 8 Mercier, Gwenael 8 Mindrinos, Leonidas 8 Nguyen, Tram Thi Ngoc 8 Osher, Stanley Joel 8 Pang, Zhifeng 8 Quellmalz, Michael 8 Resmerita, Elena 8 Rumpf, Martin 8 Shishlenin, Maxim Aleksandrovich 8 Wald, Anne 8 Werner, Frank 8 Zhao, Zhenyu 7 Benning, Martin 7 Chen, Dehan 7 Chen, Yong 7 Dong, Guozhi 7 Flemming, Jens 7 Gilboa, Guy 7 Gu, Ruixue 7 Hamdi, Adel 7 Hintermüller, Michael 7 Kirisits, Clemens 7 Kunyansky, Leonid A. 7 Lesnic, Daniel 7 Monard, François 7 Moon, Sunghwan 7 Nguyen, Loc Hoang 7 Rashedi, Kamal 7 Sherina, Ekaterina Sergeevna 7 Tai, Xuecheng 7 Tautenhahn, Ulrich 7 Valkonen, Tuomo 7 Vasin, Vladimir Vasil’evich 7 Zou, Jun ...and 2,082 more Authors all top 5 Cited in 289 Serials 231 Inverse Problems 95 Journal of Inverse and Ill-Posed Problems 74 SIAM Journal on Imaging Sciences 61 Inverse Problems in Science and Engineering 60 Inverse Problems and Imaging 53 Journal of Mathematical Imaging and Vision 51 Journal of Computational and Applied Mathematics 45 Numerical Functional Analysis and Optimization 37 Applied Mathematics and Computation 33 Applicable Analysis 33 Numerische Mathematik 28 Journal of Mathematical Analysis and Applications 23 Journal of Computational Physics 18 Journal of Scientific Computing 17 Applied Numerical Mathematics 16 SIAM Journal on Mathematical Analysis 15 Computers & Mathematics with Applications 15 Mathematics of Computation 15 Nonlinear Analysis. 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Real World Applications 5 Oberwolfach Reports 5 Proceedings of the Steklov Institute of Mathematics 4 Computer Physics Communications 4 Calcolo 4 Mathematics and Computers in Simulation 4 European Journal of Applied Mathematics 4 Communications in Partial Differential Equations 4 SIAM Journal on Optimization 4 Journal of Convex Analysis 4 Engineering Analysis with Boundary Elements 4 Communications in Nonlinear Science and Numerical Simulation 4 Journal of Applied Mathematics 4 International Journal of Computational Methods 4 Science China. Mathematics 4 SIAM/ASA Journal on Uncertainty Quantification 4 AIMS Mathematics 3 Archive for Rational Mechanics and Analysis 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 The Annals of Statistics 3 Journal of Econometrics 3 Proceedings of the American Mathematical Society 3 Quarterly of Applied Mathematics 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Zeitschrift für Analysis und ihre Anwendungen 3 Mathematical and Computer Modelling 3 Linear Algebra and its Applications 3 Computational Statistics and Data Analysis 3 Physics of Fluids 3 Journal of Inequalities and Applications 3 Fractional Calculus & Applied Analysis 3 Journal of Mathematical Fluid Mechanics 3 European Journal of Mechanics. B. Fluids 3 Differential Equations 3 Analysis and Applications (Singapore) 3 Acta Numerica 3 Advances in Difference Equations ...and 189 more Serials all top 5 Cited in 49 Fields 1,103 Numerical analysis (65-XX) 595 Partial differential equations (35-XX) 418 Operator theory (47-XX) 273 Information and communication theory, circuits (94-XX) 234 Calculus of variations and optimal control; optimization (49-XX) 211 Biology and other natural sciences (92-XX) 184 Computer science (68-XX) 114 Operations research, mathematical programming (90-XX) 111 Fluid mechanics (76-XX) 100 Optics, electromagnetic theory (78-XX) 87 Statistics (62-XX) 81 Integral equations (45-XX) 70 Mechanics of deformable solids (74-XX) 57 Integral transforms, operational calculus (44-XX) 42 Geophysics (86-XX) 37 Systems theory; control (93-XX) 33 Functional analysis (46-XX) 33 Probability theory and stochastic processes (60-XX) 31 Harmonic analysis on Euclidean spaces (42-XX) 28 Ordinary differential equations (34-XX) 27 Real functions (26-XX) 27 Classical thermodynamics, heat transfer (80-XX) 26 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 23 Differential geometry (53-XX) 15 Approximations and expansions (41-XX) 11 General and overarching topics; collections (00-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Potential theory (31-XX) 5 Special functions (33-XX) 5 Convex and discrete geometry (52-XX) 4 Mechanics of particles and systems (70-XX) 3 History and biography (01-XX) 3 Combinatorics (05-XX) 3 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Geometry (51-XX) 2 General topology (54-XX) 2 Astronomy and astrophysics (85-XX) 2 Mathematics education (97-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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