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## Scherzer, Otmar

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 Author ID: scherzer.otmar Published as: Scherzer, Otmar; Scherzer, O.; Scherzer, O External Links: MGP · Wikidata · dblp · GND · IdRef
 Documents Indexed: 182 Publications since 1990, including 8 Books Reviewing Activity: 4 Reviews
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#### Co-Authors

 17 single-authored 13 Elbau, Peter 13 Grasmair, Markus 13 Haltmeier, Markus 9 Frigaard, Ian A. 9 Pöschl, Christiane 8 Neubauer, Andreas 7 Engl, Heinz W. 7 Kowar, Richard 6 Kirisits, Clemens 5 de Hoop, Maarten V. 5 Leitão, Antonio 4 Beretta, Elena 4 Hanke-Bourgeois, Martin 4 Hinterberger, Walter 4 Iglesias, José Antonio 4 Jüttler, Bert 4 Kaltenbacher, Barbara 4 Lenzen, Frank 4 Mercier, Gwenael 4 Mindrinos, Leonidas 4 Muszkieta, Monika 4 Nashed, M. Zuhair 3 Aspri, Andrea 3 Frühauf, Florian 3 Fuchs, Matthias 3 Glatz, Thomas 3 Hofmann, Bernd 3 Kabanikhin, Sergeĭ Igorevich 3 Kalimeris, Konstantinos 3 Lang, Lukas F. 3 Naetar, Wolf 3 Osher, Stanley Joel 3 Pontow, Carsten 3 Qiu, Lingyun 3 Ramlau, Ronny 3 Resmerita, Elena 3 Sadiq, Kamran 3 Schoisswohl, Armin 3 Weickert, Joachim 3 Widlak, Thomas 3 Zangerl, Gerhard 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 Dong, Guozhi 2 Faucher, Florian 2 Fidler, Thomas 2 Frick, Klaus 2 Grossauer, Harald 2 Harrach, Bastian 2 Hubmer, Simon 2 Kunisch, Karl 2 Melching, Melanie 2 Obereder, Andreas 2 Öktem, Ozan 2 Paltauf, Guenther 2 Patrone, Aniello Raffaele 2 Paule, Peter 2 Schnörr, Christoph 2 Schotland, John C. 2 Sherina, Ekaterina 2 Shi, Cong 2 Takacs, Thomas 2 Yang, Huaiping 2 Zulehner, Walter 1 Abhau, Jochen 1 Aichholzer, Oswin 1 Albani, Vinicius V. L. 1 Anderssen, Robert Scott 1 Bal, Guillaume 1 Banert, Sebastian 1 Bonnefond, Xavier 1 Boulanger, Jérôme 1 Chyzak, Frédéric 1 Ciak, René Angelo 1 Colutto, Sebastian 1 Deuflhard, Peter 1 Dobson, David C. 1 Drexler, Wolfgang 1 Feichtinger, Robert 1 Groetsch, Charles W. 1 Groetsch, Chuck W. 1 Gulliksson, Mårten E. 1 Heers, Josef 1 Hettlich, Frank 1 Hintermüller, Michael 1 Jin, Bangti 1 Kirsch, Andreas 1 Kornberger, Bernhard 1 Korolev, Yury M. 1 Kovac, Arne 1 Krainz, Lisa 1 Leimgruber, S. 1 Lopez-Martinez, Montse 1 Maass, Peter ...and 34 more Co-Authors
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#### Serials

 30 Inverse Problems 11 Numerical Functional Analysis and Optimization 9 SIAM Journal on Applied Mathematics 9 Inverse Problems and Imaging 8 Journal of Inverse and Ill-Posed Problems 6 Mathematical Methods in the Applied Sciences 6 Journal of Mathematical Imaging and Vision 6 SIAM Journal on Imaging Sciences 4 Computing 4 Numerische Mathematik 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 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 Fluid Mechanics 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 Computational Statistics and Data Analysis 1 Experimental Mathematics 1 International Journal of Computer Vision 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 Foundations of Computational Mathematics 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
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#### Fields

 115 Numerical analysis (65-XX) 64 Partial differential equations (35-XX) 56 Operator theory (47-XX) 33 Computer science (68-XX) 29 Biology and other natural sciences (92-XX) 29 Information and communication theory, circuits (94-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 16 Fluid mechanics (76-XX) 13 Integral transforms, operational calculus (44-XX) 11 Optics, electromagnetic theory (78-XX) 7 General and overarching topics; collections (00-XX) 7 Integral equations (45-XX) 7 Statistics (62-XX) 7 Mechanics of deformable solids (74-XX) 6 Geophysics (86-XX) 4 Functional analysis (46-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Differential geometry (53-XX) 3 Systems theory; control (93-XX) 2 Commutative algebra (13-XX) 2 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX)

#### Citations contained in zbMATH Open

156 Publications have been cited 2,259 times in 1,303 Documents Cited by Year
Iterative regularization methods for nonlinear ill-posed problems. Zbl 1145.65037
Kaltenbacher, Barbara; Neubauer, Andreas; Scherzer, Otmar
2008
A convergence analysis of the Landweber iteration for nonlinear ill-posed problems. Zbl 0840.65049
Hanke, Martin; Neubauer, Andreas; Scherzer, Otmar
1995
Variational methods in imaging. Zbl 1177.68245
Scherzer, Otmar; Grasmair, Markus; Grossauer, Harald; Haltmeier, Markus; Lenzen, Frank
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.
2007
On convergence rates for the iteratively regularized Gauss-Newton method. Zbl 0881.65050
Blaschke, Barbara; Neubauer, Andreas; Scherzer, Otmar
1997
Convergence criteria of iterative methods based on Landweber iteration for solving nonlinear problems. Zbl 0842.65036
Scherzer, Otmar
1995
Inverse problems light: Numerical differentiation. Zbl 1002.65029
Hanke, Martin; Scherzer, Otmar
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.
1993
Error estimates for nonquadratic regularization and the relation to enhancement. Zbl 1103.65062
Resmerita, Elena; Scherzer, Otmar
2006
Sparse regularization with $$l^{q}$$ penalty term. Zbl 1157.65033
Grasmair, Markus; Haltmeier, Markus; Scherzer, Otmar
2008
Necessary and sufficient conditions for linear convergence of $$\ell^1$$-regularization. Zbl 1217.65095
Grasmair, Markus; Scherzer, Otmar; Haltmeier, Markus
2011
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
1998
Factors influencing the ill-posedness of nonlinear problems. Zbl 0809.35157
Hofmann, Bernd; Scherzer, Otmar
1994
Denoising with higher order derivatives of bounded variation and an application to parameter estimation. Zbl 0891.65103
Scherzer, O.
1998
Kaczmarz methods for regularizing nonlinear ill-posed equations. I: Convergence analysis. Zbl 1123.65051
Haltmeier, Markus; Leitão, Antonio; Scherzer, Otmar
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
1999
Filtered backprojection for thermoacoustic computed tomography in spherical geometry. Zbl 1085.65092
Haltmeier, M.; Schuster, T.; Scherzer, O.
2005
A modified Landweber iteration for solving parameter estimation problems. Zbl 0915.65054
Scherzer, O.
1998
The use of Morozov’s discrepancy principle for Tikhonov regularization for solving nonlinear ill-posed problems. Zbl 0801.65053
Scherzer, O.
1993
Impedance-acoustic tomography. Zbl 1159.92027
Gebauer, Bastian; Scherzer, Otmar
2008
Variational methods on the space of functions of bounded Hessian for convexification and denoising. Zbl 1098.49022
Hinterberger, W.; Scherzer, O.
2006
Finite-dimensional approximation of Tikhonov regularized solutions of nonlinear ill-posed problems. Zbl 0691.65050
Neubauer, Andreas; Scherzer, Otmar
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
1994
Handbook of mathematical methods in imaging. In 3 volumes. Zbl 1259.00006
Scherzer, Otmar (ed.)
2011
Relations between regularization and diffusion filtering. Zbl 0945.68183
Scherzer, Otmar; Weickert, Joachim
2000
Thermoacoustic computed tomography with large planar receivers. Zbl 1065.65143
Haltmeier, M.; Scherzer, O.; Burgholzer, P.; Paltauf, G.
2004
A convergence analysis of a method of steepest descent and a two-step algorithm for nonlinear ill-posed problems. Zbl 0852.65048
Scherzer, Otmar
1996
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.
2008
Kaczmarz methods for regularizing nonlinear ill-posed equations. II: Applications. Zbl 1135.65026
Haltmeier, Markus; Kowar, Richard; Leitão, Antonio; Scherzer, Otmar
2007
Local analysis of inverse problems: Hölder stability and iterative reconstruction. Zbl 1319.47049
de Hoop, Maarten V.; Qiu, Lingyun; Scherzer, Otmar
2012
Analysis of regularization methods for the solution of ill-posed problems involving discontinuous operators. Zbl 1092.65046
Frühauf, F.; Scherzer, O.; Leitão, A.
2005
A direct method for photoacoustic tomography with inhomogeneous sound speed. Zbl 1382.65289
Belhachmi, Zakaria; Glatz, Thomas; Scherzer, Otmar
2016
Analysis of regularized total variation penalty methods for denoising. Zbl 0866.65041
Dobson, David; Scherzer, Otmar
1996
Least squares and bounded variation regularization with nondifferentiable functionals. Zbl 0914.65067
Nashed, M. Z.; Scherzer, O.
1998
Hybrid tomography for conductivity imaging. Zbl 1252.92043
Widlak, Thomas; Scherzer, Otmar
2012
Thermoacoustic tomography and the circular Radon transform: Exact inversion formula. Zbl 1132.65113
Haltmeier, Markus; Scherzer, Otmar; Burgholzer, Peter; Nuster, Robert; Paltauf, Guenther
2007
On the relation between constraint regularization, level sets, and shape optimization. Zbl 1030.65062
Leitão, A.; Scherzer, O.
2003
A penalization method for calculating the flow beneath traveling water waves of large amplitude. Zbl 1321.35146
Constantin, A.; Kalimeris, K.; Scherzer, O.
2015
Attenuation models in photoacoustics. Zbl 1345.92089
Kowar, Richard; Scherzer, Otmar
2012
Inverse total variation flow. Zbl 1147.49026
Burger, M.; Frick, K.; Osher, S.; Scherzer, O.
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.
1995
Analysis of optical flow models in the framework of the calculus of variations. Zbl 1016.49002
Hinterberger, W.; Scherzer, O.; Schnörr, C.; Weickert, J.
2002
Simultaneous reconstructions of absorption density and wave speed with photoacoustic measurements. Zbl 1257.35198
Kirsch, Andreas; Scherzer, Otmar
2012
Quantitative photoacoustic tomography with piecewise constant material parameters. Zbl 1361.94018
Naetar, W.; Scherzer, O.
2014
Regularization of ill-posed linear equations by the non-stationary augmented Lagrangian method. Zbl 1203.90156
Frick, Klaus; Scherzer, Otmar
2010
Inverse scale space theory for inverse problems. Zbl 0991.68132
Scherzer, Otmar; Groetsch, Chuck
2001
Convergence analysis of a Landweber-Kaczmarz method for solving nonlinear ill-posed problems. Zbl 1048.65055
Kowar, R.; Scherzer, O.
2002
Stability in the linearized problem of quantitative elastography. Zbl 1309.92050
Widlak, Thomas; Scherzer, Otmar
2015
Approximations of steady periodic water waves in flows with constant vorticity. Zbl 1330.76020
Constantin, A.; Kalimeris, K.; Scherzer, O.
2015
Photo- and thermo-acoustic imaging. Zbl 1129.92050
Patch, Sarah K.; Scherzer, Otmar
2007
Exact series reconstruction in photoacoustic tomography with circular integrating detectors. Zbl 1185.65240
Zangerl, Gerhard; Scherzer, Otmar; Haltmeier, Markus
2009
Using the complex Ginzburg-Landau equation for digital inpainting in 2D and 3D. Zbl 1067.68739
Grossauer, Harald; Scherzer, Otmar
2003
Tube methods for BV regularization. Zbl 1101.68927
Hinterberger, Walter; Hintermüller, Michael; Kunisch, Karl; von Oehsen, Markus; Scherzer, Otmar
2003
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
2015
The residual method for regularizing ill-posed problems. Zbl 1247.65076
Grasmair, Markus; Haltmeier, Markus; Scherzer, Otmar
2011
Local ill-posedness and source conditions of operator equations in Hilbert spaces. Zbl 0915.65052
Hofmann, Bernd; Scherzer, Otmar
1998
An iterative multi level algorithm for solving nonlinear ill-posed problems. Zbl 0918.65041
Scherzer, Otmar
1998
Uniaxial exchange flows of two Bingham fluids in a cylindrical duct. Zbl 0928.76010
Frigaard, I. A.; Scherzer, O.
1998
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
2015
Optimal convergence rates results for linear inverse problems in Hilbert spaces. Zbl 1352.65146
Albani, V.; Elbau, P.; De Hoop, M. V.; Scherzer, O.
2016
Causality analysis of frequency-dependent wave attenuation. Zbl 1381.76325
Kowar, Richard; Scherzer, Otmar; Bonnefond, Xavier
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.
2012
Convergence rates results for iterative methods for solving nonlinear ill-posed problems. Zbl 0998.65058
Engl, H. W.; Scherzer, O.
2000
Discretization of variational regularization in Banach spaces. Zbl 1200.47018
Pöschl, Christiane; Resmerita, Elena; Scherzer, Otmar
2010
$$G$$-norm properties of bounded variation regularization. Zbl 1082.49003
Osher, Stanley; Scherzer, Otmar
2004
Convergence rates of iterated Tikhonov regularized solutions of nonlinear ill-posed problems. Zbl 0791.65040
Scherzer, O.
1993
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
2016
The Levenberg-Marquardt iteration for numerical inversion of the power density operator. Zbl 1273.35307
Bal, Guillaume; Naetar, Wolf; Scherzer, Otmar; Schotland, John
2013
Exact reconstruction in photoacoustic tomography with circular integrating detectors. II: Spherical geometry. Zbl 1204.65165
Zangerl, Gerhard; Scherzer, Otmar
2010
Mathematical methods of optical coherence tomography. 2nd edition. Zbl 1395.94029
Elbau, Peter; Mindrinos, Leonidas; Scherzer, Otmar
2015
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.
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
1994
Handbook of mathematical methods in imaging. In 3 volumes. 2nd edition. Zbl 1322.68001
Scherzer, Otmar (ed.)
2015
Non-local functionals for imaging. Zbl 1242.49003
Boulanger, Jérôme; Elbau, Peter; Pontow, Carsten; Scherzer, Otmar
2011
Detecting interfaces in a parabolic-elliptic problem from surface measurements. Zbl 1140.65066
Frühauf, Florian; Gebauer, Bastian; Scherzer, Otmar
2007
Circular integrating detectors in photo and thermoacoustic tomography. Zbl 1156.92027
Zangerl, Gerhard; Scherzer, Otmar; Haltmeier, Markus
2009
A regularization scheme for an inverse problem in age-structured populations. Zbl 0841.92021
Engl, Heinz W.; Rundell, William; Scherzer, Otmar
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
Nashed, M. Zuhair (ed.); Scherzer, Otmar (ed.)
2002
On the Landweber iteration for nonlinear ill-posed problems. Zbl 0879.65037
Binder, A.; Hanke, M.; Scherzer, O.
1996
Iteration methods for solving a two dimensional inverse problem for a hyperbolic equation. Zbl 1028.35166
Kabanikhin, S. I.; Scherzer, O.; Shishlenin, M. A.
2003
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
2001
Characterization of minimizers of convex regularization functionals. Zbl 1163.47004
Pöschl, Christiane; Scherzer, Otmar
2008
Exact solutions of one-dimensional total generalized variation. Zbl 1316.49021
Pöschl, Christiane; Scherzer, Otmar
2015
Simultaneous optical flow and source estimation: space-time discretization and preconditioning. Zbl 1321.65103
Andreev, R.; Scherzer, O.; Zulehner, W.
2015
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
2018
Variational methods and maximal residual wall layers. Zbl 1153.76317
Frigaard, I. A.; Leimgruber, S.; Scherzer, O.
2003
Uniqueness and non-uniqueness in the steady displacement of two-visco-plastic fluids. Zbl 0972.35004
Frigaard, I.; Scherzer, O.; Sona, G.
2001
Regularization for curve representations: Uniform convergence for discontinuous solutions of ill-posed problems. Zbl 0916.65128
Neubauer, Andreas; Scherzer, Otmar
1998
Sparsity regularization in inverse problems. Zbl 1369.00102
Jin, Bangti (ed.); Maaß, Peter (ed.); Scherzer, Otmar (ed.)
2017
Optical flow on evolving surfaces with space and time regularisation. Zbl 1354.92042
Kirisits, Clemens; Lang, Lukas F.; Scherzer, Otmar
2015
On the $$X$$-ray transform of planar symmetric 2-tensors. Zbl 1381.44010
Sadiq, Kamran; Scherzer, Otmar; Tamasan, Alexandru
2016
Reconstruction formulas for photoacoustic sectional imaging. Zbl 1241.78020
Elbau, Peter; Scherzer, Otmar; Schulze, Rainer
2012
A note on convergence of solutions of total variation regularized linear inverse problems. Zbl 06897209
Iglesias, José A.; Mercier, Gwenael; Scherzer, Otmar
2018
Stable approximation of nondifferentiable optimization problems with variational inequalities. Zbl 0868.49008
Nashed, M. Zuhair; Scherzer, Otmar
1997
Regularization methods for blind deconvolution and blind source separation problems. Zbl 1002.93060
Burger, Martin; Scherzer, Otmar
2001
A variational algorithm for the detection of line segments. Zbl 1318.68184
Beretta, Elena; Grasmair, Markus; Muszkieta, Monika; Scherzer, Otmar
2014
A variational setting for volume constrained image registration. Zbl 1204.68247
Pöschl, Christiane; Modersitzki, Jan; Scherzer, Otmar
2010
Preconditioning inverse problems for hyperbolic equations with applications to photoacoustic tomography. Zbl 07153865
Beigl, Alexander; Scherzer, Otmar; Sogn, Jarle; Zulehner, Walter
2020
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
2013
Parameter identification from boundary measurements in a parabolic equation arising from geophysics. Zbl 0776.35083
Scherzer, O.; Engl, H. W.; Anderssen, R. S.
1993
Preconditioning inverse problems for hyperbolic equations with applications to photoacoustic tomography. Zbl 07153865
Beigl, Alexander; Scherzer, Otmar; Sogn, Jarle; Zulehner, Walter
2020
A data-driven iteratively regularized Landweber iteration. Zbl 07241785
Aspri, A.; Banert, S.; Öktem, O.; Scherzer, O.
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
2020
Regularization with metric double integrals of functions with values in a set of vectors. Zbl 1451.49038
Ciak, René; Melching, Melanie; Scherzer, Otmar
2019
The Radon transform. The first 100 years and beyond. Zbl 1420.44001
Ramlau, Ronny; Scherzer, Otmar
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
2018
A note on convergence of solutions of total variation regularized linear inverse problems. Zbl 06897209
Iglesias, José A.; Mercier, Gwenael; Scherzer, Otmar
2018
Shape-aware matching of implicit surfaces based on thin shell energies. Zbl 1408.49010
Iglesias, José A.; Rumpf, Martin; Scherzer, Otmar
2018
The inverse scattering problem for orthotropic media in polarization-sensitive optical coherence tomography. Zbl 1393.35286
Elbau, Peter; Mindrinos, Leonidas; Scherzer, Otmar
2018
Quantitative reconstructions in multi-modal photoacoustic and optical coherence tomography imaging. Zbl 1400.78016
Elbau, P.; Mindrinos, L.; Scherzer, O.
2018
Reconstruction formulas for photoacoustic imaging in attenuating media. Zbl 06850147
Scherzer, Otmar; Shi, Cong
2018
Quantitative photoacoustic imaging in the acoustic regime using SPIM. Zbl 1393.35158
Beigl, Alexander; Elbau, Peter; Sadiq, Kamran; Scherzer, Otmar
2018
Sparsity regularization in inverse problems. Zbl 1369.00102
Jin, Bangti; Maaß, Peter; Scherzer, Otmar
2017
Inverse problems of combined photoacoustic and optical coherence tomography. Zbl 1355.92058
Elbau, Peter; Mindrinos, Leonidas; Scherzer, Otmar
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
2017
Singular values of the attenuated photoacoustic imaging operator. Zbl 1401.35329
Elbau, Peter; Scherzer, Otmar; Shi, Cong
2017
A variational method for quantitative photoacoustic tomography with piecewise constant coefficients. Zbl 1404.35483
Beretta, Elena; Muszkieta, Monika; Naetar, Wolf; Scherzer, Otmar
2017
Convergence rates for regularization functionals with polyconvex integrands. Zbl 1376.49047
Kirisits, Clemens; Scherzer, Otmar
2017
Photoacoustic tomography with spatially varying compressibility and density. Zbl 1355.65124
Belhachmi, Zakaria; Glatz, Thomas; Scherzer, Otmar
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
2017
Optical flow on evolving sphere-like surfaces. Zbl 1366.35200
Lang, Lukas F.; Scherzer, Otmar
2017
A direct method for photoacoustic tomography with inhomogeneous sound speed. Zbl 1382.65289
Belhachmi, Zakaria; Glatz, Thomas; Scherzer, Otmar
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.
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
2016
On the $$X$$-ray transform of planar symmetric 2-tensors. Zbl 1381.44010
Sadiq, Kamran; Scherzer, Otmar; Tamasan, Alexandru
2016
A penalization method for calculating the flow beneath traveling water waves of large amplitude. Zbl 1321.35146
Constantin, A.; Kalimeris, K.; Scherzer, O.
2015
Stability in the linearized problem of quantitative elastography. Zbl 1309.92050
Widlak, Thomas; Scherzer, Otmar
2015
Approximations of steady periodic water waves in flows with constant vorticity. Zbl 1330.76020
Constantin, A.; Kalimeris, K.; Scherzer, O.
2015
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
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
2015
Mathematical methods of optical coherence tomography. 2nd edition. Zbl 1395.94029
Elbau, Peter; Mindrinos, Leonidas; Scherzer, Otmar
2015
Handbook of mathematical methods in imaging. In 3 volumes. 2nd edition. Zbl 1322.68001
Scherzer, Otmar
2015
Exact solutions of one-dimensional total generalized variation. Zbl 1316.49021
Pöschl, Christiane; Scherzer, Otmar
2015
Simultaneous optical flow and source estimation: space-time discretization and preconditioning. Zbl 1321.65103
Andreev, R.; Scherzer, O.; Zulehner, W.
2015
Optical flow on evolving surfaces with space and time regularisation. Zbl 1354.92042
Kirisits, Clemens; Lang, Lukas F.; Scherzer, Otmar
2015
Finite-dimensional approximation of convex regularization via hexagonal pixel grids. Zbl 1312.65089
Kirisits, Clemens; Pöschl, Christiane; Resmerita, Elena; Scherzer, Otmar
2015
Modelling the effect of focusing detectors in photoacoustic sectional imaging. Zbl 1323.35210
Elbau, P.; Scherzer, O.
2015
Distance measures and applications to multimodal variational imaging. 2nd edition. Zbl 1331.65052
Pöschl, Christiane; Scherzer, Otmar
2015
Texture generation for photoacoustic elastography. Zbl 1343.94009
Glatz, Thomas; Scherzer, Otmar; Widlak, Thomas
2015
Quantitative photoacoustic tomography with piecewise constant material parameters. Zbl 1361.94018
Naetar, W.; Scherzer, O.
2014
A variational algorithm for the detection of line segments. Zbl 1318.68184
Beretta, Elena; Grasmair, Markus; Muszkieta, Monika; Scherzer, Otmar
2014
Decomposition of optical flow on the sphere. Zbl 1327.92023
Kirisits, Clemens; Lang, Lukas F.; Scherzer, Otmar
2014
The Levenberg-Marquardt iteration for numerical inversion of the power density operator. Zbl 1273.35307
Bal, Guillaume; Naetar, Wolf; Scherzer, Otmar; Schotland, John
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
2013
Photoacoustic imaging in attenuating acoustic media based on strongly causal models. Zbl 1276.35141
Kalimeris, Konstantinos; Scherzer, Otmar
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
2013
Local analysis of inverse problems: Hölder stability and iterative reconstruction. Zbl 1319.47049
de Hoop, Maarten V.; Qiu, Lingyun; Scherzer, Otmar
2012
Hybrid tomography for conductivity imaging. Zbl 1252.92043
Widlak, Thomas; Scherzer, Otmar
2012
Attenuation models in photoacoustics. Zbl 1345.92089
Kowar, Richard; Scherzer, Otmar
2012
Simultaneous reconstructions of absorption density and wave speed with photoacoustic measurements. Zbl 1257.35198
Kirsch, Andreas; Scherzer, Otmar
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.
2012
Reconstruction formulas for photoacoustic sectional imaging. Zbl 1241.78020
Elbau, Peter; Scherzer, Otmar; Schulze, Rainer
2012
Analytical evaluations of double integral expressions related to total variation. Zbl 1250.65045
Pontow, Carsten; Scherzer, Otmar
2012
Shape reconstruction with a priori knowledge based on integral invariants. Zbl 1250.65152
Fidler, Thomas; Grasmair, Markus; Scherzer, Otmar
2012
Convergence of variational regularization methods for imaging on Riemannian manifolds. Zbl 1234.65023
Thorstensen, Nicolas; Scherzer, Otmar
2012
Necessary and sufficient conditions for linear convergence of $$\ell^1$$-regularization. Zbl 1217.65095
Grasmair, Markus; Scherzer, Otmar; Haltmeier, Markus
2011
Handbook of mathematical methods in imaging. In 3 volumes. Zbl 1259.00006
Scherzer, Otmar
2011
The residual method for regularizing ill-posed problems. Zbl 1247.65076
Grasmair, Markus; Haltmeier, Markus; Scherzer, Otmar
2011
Causality analysis of frequency-dependent wave attenuation. Zbl 1381.76325
Kowar, Richard; Scherzer, Otmar; Bonnefond, Xavier
2011
Non-local functionals for imaging. Zbl 1242.49003
Boulanger, Jérôme; Elbau, Peter; Pontow, Carsten; Scherzer, Otmar
2011
Partial differential equations for zooming, deinterlacing and dejittering. Zbl 1235.68312
Lenzen, Frank; Scherzer, Otmar
2011
Texture enhancing based on variational image decomposition. Zbl 1220.68112
Frühauf, Florian; Pontow, Carsten; Scherzer, Otmar
2011
Regularization of ill-posed linear equations by the non-stationary augmented Lagrangian method. Zbl 1203.90156
Frick, Klaus; Scherzer, Otmar
2010
Discretization of variational regularization in Banach spaces. Zbl 1200.47018
Pöschl, Christiane; Resmerita, Elena; Scherzer, Otmar
2010
Exact reconstruction in photoacoustic tomography with circular integrating detectors. II: Spherical geometry. Zbl 1204.65165
Zangerl, Gerhard; Scherzer, Otmar
2010
A variational setting for volume constrained image registration. Zbl 1204.68247
Pöschl, Christiane; Modersitzki, Jan; Scherzer, Otmar
2010
Sparsity in inverse geophysical problems. Zbl 1197.86015
Grasmair, Markus; Haltmeier, Markus; Scherzer, Otmar
2010
Variational methods in imaging. Zbl 1177.68245
Scherzer, Otmar; Grasmair, Markus; Grossauer, Harald; Haltmeier, Markus; Lenzen, Frank
2009
Exact series reconstruction in photoacoustic tomography with circular integrating detectors. Zbl 1185.65240
Zangerl, Gerhard; Scherzer, Otmar; Haltmeier, Markus
2009
Circular integrating detectors in photo and thermoacoustic tomography. Zbl 1156.92027
Zangerl, Gerhard; Scherzer, Otmar; Haltmeier, Markus
2009
Iterative regularization methods for nonlinear ill-posed problems. Zbl 1145.65037
Kaltenbacher, Barbara; Neubauer, Andreas; Scherzer, Otmar
2008
Sparse regularization with $$l^{q}$$ penalty term. Zbl 1157.65033
Grasmair, Markus; Haltmeier, Markus; Scherzer, Otmar
2008
Impedance-acoustic tomography. Zbl 1159.92027
Gebauer, Bastian; Scherzer, Otmar
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.
2008
Characterization of minimizers of convex regularization functionals. Zbl 1163.47004
Pöschl, Christiane; Scherzer, Otmar
2008
Identifiability and reconstruction of shapes from integral invariants. Zbl 1156.65066
Fidler, Thomas; Grasmair, Markus; Scherzer, Otmar
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
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.
2007
Kaczmarz methods for regularizing nonlinear ill-posed equations. I: Convergence analysis. Zbl 1123.65051
Haltmeier, Markus; Leitão, Antonio; Scherzer, Otmar
2007
Kaczmarz methods for regularizing nonlinear ill-posed equations. II: Applications. Zbl 1135.65026
Haltmeier, Markus; Kowar, Richard; Leitão, Antonio; Scherzer, Otmar
2007
Thermoacoustic tomography and the circular Radon transform: Exact inversion formula. Zbl 1132.65113
Haltmeier, Markus; Scherzer, Otmar; Burgholzer, Peter; Nuster, Robert; Paltauf, Guenther
2007
Inverse total variation flow. Zbl 1147.49026
Burger, M.; Frick, K.; Osher, S.; Scherzer, O.
2007
Photo- and thermo-acoustic imaging. Zbl 1129.92050
Patch, Sarah K.; Scherzer, Otmar
2007
Detecting interfaces in a parabolic-elliptic problem from surface measurements. Zbl 1140.65066
Frühauf, Florian; Gebauer, Bastian; Scherzer, Otmar
2007
Transient effects in oilfield cementing flows: Qualitative behaviour. Zbl 1153.76428
Moyers-González, M. A.; Frigaard, I. A.; Scherzer, O.; Tsai, T.-P.
2007
Bivariate density estimation using BV regularisation. Zbl 1445.62073
Obereder, Andreas; Scherzer, Otmar; Kovac, Arne
2007
Error estimates for nonquadratic regularization and the relation to enhancement. Zbl 1103.65062
Resmerita, Elena; Scherzer, Otmar
2006
Variational methods on the space of functions of bounded Hessian for convexification and denoising. Zbl 1098.49022
Hinterberger, W.; Scherzer, O.
2006
Herschel-Bulkley diffusion filtering: non-Newtonian fluid mechanics in image processing. Zbl 1158.94303
Frigaard, Ian; Scherzer, O.
2006
Mathematical models for registration and applications to medical imaging. Zbl 1096.65002
Scherzer, Otmar
2006
Filtered backprojection for thermoacoustic computed tomography in spherical geometry. Zbl 1085.65092
Haltmeier, M.; Schuster, T.; Scherzer, O.
2005
Analysis of regularization methods for the solution of ill-posed problems involving discontinuous operators. Zbl 1092.65046
Frühauf, F.; Scherzer, O.; Leitão, A.
2005
A non-convex PDE scale space. Zbl 1119.68475
Grasmair, Markus; Lenzen, Frank; Obereder, Andreas; Scherzer, Otmar; Fuchs, Matthias
2005
Symbolic computation for moments and filter coefficients of scaling functions. Zbl 1077.42030
Regensburger, Georg; Scherzer, Otmar
2005
Slope and $$G$$-set characterization of set-valued functions and applications to non-differentiable optimization problems. Zbl 1094.65064
Scherzer, Otmar; Yin, Wotao; Osher, Stanley
2005
Thermoacoustic computed tomography with large planar receivers. Zbl 1065.65143
Haltmeier, M.; Scherzer, O.; Burgholzer, P.; Paltauf, G.
2004
$$G$$-norm properties of bounded variation regularization. Zbl 1082.49003
Osher, Stanley; Scherzer, Otmar
2004
On the relation between constraint regularization, level sets, and shape optimization. Zbl 1030.65062
Leitão, A.; Scherzer, O.
2003
Using the complex Ginzburg-Landau equation for digital inpainting in 2D and 3D. Zbl 1067.68739
Grossauer, Harald; Scherzer, Otmar
2003
Tube methods for BV regularization. Zbl 1101.68927
Hinterberger, Walter; Hintermüller, Michael; Kunisch, Karl; von Oehsen, Markus; Scherzer, Otmar
2003
...and 56 more Documents
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#### Cited by 1,615 Authors

 65 Scherzer, Otmar 36 Hofmann, Bernd 30 Kaltenbacher, Barbara 25 Haltmeier, Markus 24 Han, Bo 24 Jin, Qinian 21 George, Santhosh 18 Burger, Martin 18 Neubauer, Andreas 15 Ammari, Habib M. 15 Frigaard, Ian A. 15 Hohage, Thorsten 15 Ramlau, Ronny 13 Kindermann, Stefan 13 Smirnova, Alexandra B. 12 Bakushinskĭ, Anatoliĭ Borisovich B. 12 Hasanoǧlu, Alemdar 11 Elbau, Peter 11 Grasmair, Markus 11 Lu, Shuai 11 Schönlieb, Carola-Bibiane 10 Bal, Guillaume 10 De Cezaro, Adriano 10 Kabanikhin, Sergeĭ Igorevich 10 Khan, Akhtar Ali 10 Leitão, Antonio 10 Mahale, Pallavi 9 Beretta, Elena 9 Chen, Ke 8 Argyros, Ioannis Konstantinos 8 Clason, Christian 8 de Hoop, Maarten V. 8 Jin, Bangti 8 Lorenz, Dirk Alfred 8 Rundell, William 8 Steidl, Gabriele 8 Wang, Wei 8 Zhao, Zhenyu 7 Bredies, Kristian 7 Flemming, Jens 7 Hamdi, Adel 7 Harrach, Bastian 7 Kunisch, Karl 7 Kunyansky, Leonid A. 7 Monard, François 7 Moon, Sunghwan 7 Nair, M. Thamban 7 Öktem, Ozan 7 Shishlenin, Maxim Aleksandrovich 7 Tai, Xuecheng 7 Tautenhahn, Ulrich 7 Tong, Shanshan 7 Valkonen, Tuomo 7 Vasin, Vladimir Vasil’evich 6 Alberti, Giovanni S. 6 Benning, Martin 6 Chen, Dehan 6 Cheng, Jin 6 Dorn, Oliver 6 Engl, Heinz W. 6 Gerth, Daniel 6 Gilboa, Guy 6 Hein, Torsten 6 Hubmer, Simon 6 Iglesias, José Antonio 6 Jadamba, Baasansuren 6 Knudsen, Kim M. 6 Kokurin, Mikhail Yur’evich 6 Lesnic, Daniel 6 Mathé, Peter 6 Meng, Zehong 6 Mercier, Gwenael 6 Mindrinos, Leonidas 6 Osher, Stanley Joel 6 Pang, Zhifeng 6 Qiu, Lingyun 6 Rashedi, Kamal 6 Resmerita, Elena 6 Schuster, Thomas 6 Wald, Anne 6 Zhong, Min 5 Adibi, Hojatollah 5 Albani, Vinicius V. L. 5 Beilina, Larisa 5 Bretin, Elie 5 Đinh Nho Hào 5 Egger, Herbert 5 Francini, Elisa 5 Griesmaier, Roland 5 He, Guoqiang 5 Holler, Martin 5 Kalimeris, Konstantinos 5 Kirisits, Clemens 5 Kügler, Philipp 5 Lang, Lukas F. 5 Lenzen, Frank 5 Möller, Michael 5 Munk, Axel 5 Papafitsoros, Konstantinos 5 Pektas, Burhan ...and 1,515 more Authors
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#### Cited in 248 Serials

 146 Inverse Problems 78 Journal of Inverse and Ill-Posed Problems 59 Inverse Problems in Science and Engineering 45 Inverse Problems and Imaging 44 SIAM Journal on Imaging Sciences 41 Journal of Computational and Applied Mathematics 39 Numerical Functional Analysis and Optimization 39 Journal of Mathematical Imaging and Vision 32 Applied Mathematics and Computation 27 Numerische Mathematik 24 Applicable Analysis 24 Journal of Mathematical Analysis and Applications 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Applied Numerical Mathematics 15 Journal of Integral Equations and Applications 14 Computers & Mathematics with Applications 13 Journal of Scientific Computing 12 Journal of Fluid Mechanics 12 SIAM Journal on Numerical Analysis 11 Mathematics of Computation 11 Fixed Point Theory and Applications 10 Journal of Computational Physics 10 Computational Optimization and Applications 10 Advances in Computational Mathematics 9 Mathematical Methods in the Applied Sciences 9 Journal of Optimization Theory and Applications 9 SIAM Journal on Applied Mathematics 9 SIAM Journal on Mathematical Analysis 9 SIAM Journal on Scientific Computing 9 Applied and Computational Harmonic Analysis 8 Journal of Engineering Mathematics 8 Mathematical Problems in Engineering 8 Abstract and Applied Analysis 7 Computing 7 Optimization 7 Numerical Algorithms 7 Applied Mathematical Modelling 7 International Journal of Computer Vision 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Acta Mathematicae Applicatae Sinica. English Series 6 Computational Mathematics and Mathematical Physics 6 International Journal of Computer Mathematics 6 GEM - International Journal on Geomathematics 5 Computer Methods in Applied Mechanics and Engineering 5 Journal of Mathematical Biology 5 BIT 5 Journal of Differential Equations 5 Applied Mathematics Letters 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Journal of Mathematical Sciences (New York) 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Nonlinear Analysis. Real World Applications 5 Computational Methods in Applied Mathematics 5 Journal of Applied Mathematics and Computing 4 Computer Physics Communications 4 Applied Mathematics and Optimization 4 European Journal of Applied Mathematics 4 Communications in Partial Differential Equations 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 SIAM Journal on Optimization 4 Russian Mathematics 4 Computational and Applied Mathematics 4 ETNA. Electronic Transactions on Numerical Analysis 4 Journal of Applied Mathematics 4 Electronic Journal of Statistics 4 Science China. Mathematics 3 The Annals of Statistics 3 Calcolo 3 Mathematics and Computers in Simulation 3 Proceedings of the American Mathematical Society 3 Quarterly of Applied Mathematics 3 Zeitschrift für Analysis und ihre Anwendungen 3 Mathematical and Computer Modelling 3 Calculus of Variations and Partial Differential Equations 3 Physics of Fluids 3 Engineering Analysis with Boundary Elements 3 Fractional Calculus & Applied Analysis 3 Journal of Mathematical Fluid Mechanics 3 European Journal of Mechanics. B. Fluids 3 Communications in Nonlinear Science and Numerical Simulation 3 Foundations of Computational Mathematics 3 International Journal of Computational Methods 3 Acta Numerica 3 Boundary Value Problems 3 Analysis and Mathematical Physics 3 Journal of Nonlinear Analysis and Optimization: Theory & Applications 3 Nonlinear Analysis. Theory, Methods & Applications 2 Communications on Pure and Applied Mathematics 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Wave Motion 2 Bulletin of Mathematical Biology 2 ACM Transactions on Mathematical Software 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 International Journal for Numerical Methods in Engineering 2 Journal of Approximation Theory 2 Journal of Econometrics 2 Journal of Functional Analysis 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Applied Mathematics and Mechanics. (English Edition) 2 Chinese Annals of Mathematics. Series B ...and 148 more Serials
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#### Cited in 47 Fields

 817 Numerical analysis (65-XX) 426 Partial differential equations (35-XX) 325 Operator theory (47-XX) 215 Information and communication theory, circuits (94-XX) 187 Calculus of variations and optimal control; optimization (49-XX) 168 Biology and other natural sciences (92-XX) 118 Computer science (68-XX) 91 Fluid mechanics (76-XX) 85 Operations research, mathematical programming (90-XX) 69 Optics, electromagnetic theory (78-XX) 67 Integral equations (45-XX) 59 Statistics (62-XX) 55 Mechanics of deformable solids (74-XX) 42 Integral transforms, operational calculus (44-XX) 33 Geophysics (86-XX) 30 Systems theory; control (93-XX) 24 Probability theory and stochastic processes (60-XX) 24 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 23 Harmonic analysis on Euclidean spaces (42-XX) 23 Functional analysis (46-XX) 22 Ordinary differential equations (34-XX) 22 Classical thermodynamics, heat transfer (80-XX) 17 Real functions (26-XX) 14 Differential geometry (53-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 General and overarching topics; collections (00-XX) 6 Approximations and expansions (41-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Potential theory (31-XX) 5 Convex and discrete geometry (52-XX) 4 Special functions (33-XX) 4 Mechanics of particles and systems (70-XX) 2 Combinatorics (05-XX) 2 Functions of a complex variable (30-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 General topology (54-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)

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