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## Vogel, Curtis R.

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 Author ID: vogel.curtis-r Published as: Vogel, C. R.; Vogel, Curtis; Vogel, Curtis R. Homepage: http://www.math.montana.edu/_archive/people/faculty/retired_and_emeritus/cvogel....
 Documents Indexed: 38 Publications since 1980, including 1 Book
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#### Co-Authors

 7 single-authored 2 Hanke-Bourgeois, Martin 2 Jonca, Katarzyna 2 Ochs, Robert L. jun. 2 Oman, Mary E. 1 Bardsley, Johnathan M. 1 Bowers, Kenneth L. 1 Dobson, David C. 1 Ellerbroek, Brent L. 1 Lund, John R. 1 Nagy, James Gerard 1 Seidman, Thomas I. 1 Smith, Ralph C.
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#### Serials

 3 Inverse Problems 2 SIAM Journal on Scientific Computing 1 Journal of Optimization Theory and Applications 1 Numerische Mathematik 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 SIAM Journal on Matrix Analysis and Applications 1 Linear Algebra and its Applications 1 Journal of Mathematical Systems, Estimation, and Control 1 IEEE Transactions on Image Processing 1 Frontiers in Applied Mathematics
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#### Fields

 14 Numerical analysis (65-XX) 6 Integral equations (45-XX) 5 Partial differential equations (35-XX) 3 Operator theory (47-XX) 3 Information and communication theory, circuits (94-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Ordinary differential equations (34-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX)

#### Citations contained in zbMATH

30 Publications have been cited 1,043 times in 803 Documents Cited by Year
Computational methods for inverse problems. Zbl 1008.65103
Vogel, Curtis R.
2002
Iterative methods for total variation denoising. Zbl 0847.65083
Vogel, C. R.; Oman, M. E.
1996
Analysis of bounded variation penalty methods for ill-posed problems. Zbl 0809.35151
Acar, R.; Vogel, C. R.
1994
Fast, robust total variation-based reconstruction of noisy, blurred images. Zbl 0993.94519
Vogel, Curtis R.; Oman, Mary E.
1998
Convergence of an iterative method for total variation denoising. Zbl 0898.65034
Dobson, David C.; Vogel, Curtis R.
1997
Well posedness and convergence of some regularization methods for nonlinear ill posed problems. Zbl 0691.35090
Seidman, Thomas I.; Vogel, Curtis R.
1989
Non-convergence of the $$L$$-curve regularization parameter selection method. Zbl 0867.65025
Vogel, C. R.
1996
A nonnegatively constrained convex programming method for image reconstruction. Zbl 1061.65047
Bardsley, Johnathan M.; Vogel, Curtis R.
2003
Quasi-Newton approach to nonnegative image restorations. Zbl 0960.65071
Hanke, Martin; Nagy, James G.; Vogel, Curtis
2000
A fully-Galerkin method for the numerical solution of an inverse problem in a parabolic partial differential equation. Zbl 0709.65104
Lund, John; Vogel, Curtis R.
1990
A multigrid method for total variation-based image denoising. Zbl 0831.93062
Vogel, C. R.
1995
Two-level preconditioners for regularized inverse problems. I: Theory. Zbl 0941.65056
Hanke, Martin; Vogel, Curtis R.
1999
Inverse problems in astronomical adaptive optics. Zbl 1173.35727
Ellerbroek, B. L.; Vogel, C. R.
2009
Iterative SVD-based methods for ill-posed problems. Zbl 0802.65070
Vogel, C. R.; Wade, J. G.
1994
A constrained least squares regularization method for nonlinear ill-posed problems. Zbl 0696.65096
Vogel, Curtis R.
1990
Optimal choice of a truncation level for the truncated SVD solution of linear first kind integral equations when data are noisy. Zbl 0593.65091
Vogel, C. R.
1986
Analysis of costate discretizations in parameter estimation for linear evolution equations. Zbl 0817.49029
Vogel, C. R.; Wade, J. G.
1995
Inverse problems for acoustic waves using the penalized likelihood method. Zbl 0603.76083
Kristensson, G.; Vogel, C. R.
1986
A Banach space ODE framework for inverse scattering via invariant imbedding. Zbl 0618.34055
Vogel, C. R.
1986
Sparse matrix computations arising in distributed parameter identification. Zbl 0936.65051
Vogel, Curtis R.
1999
Asymptotic theory of filtering for linear operator equations with discrete noisy data. Zbl 0687.65122
Groetsch, C. W.; Vogel, C. R.
1987
Numerical solution of a nonlinear ill-posed problem arising in inverse scattering. Zbl 0605.65091
Vogel, C. R.
1985
Stochastic inversion of linear first kind integral equations. I: Continuous theory and the stochastic generalized inverse. Zbl 0602.60052
Prenter, P. M.; Vogel, C. R.
1985
Numerical recovery of material parameters in Euler-Bernoulli beam models. Zbl 0898.73032
Smith, Ralph C.; Bowers, Kenneth L.; Vogel, Curtis R.
1997
Nonsmooth regularization. Zbl 0865.65038
Vogel, Curtis R.
1997
A modified Levenberg-Marquardt algorithm for large-scale inverse problems. Zbl 0820.93002
Vogel, C. R.; Wade, J. G.
1993
Wave splitting for some nonhyperbolic time-dependent PDEs. Zbl 0786.35099
Vogel, C. R.
1992
Energy optimization in electromagnetic wave propagation. Zbl 0793.35112
Ochs, Robert L. jun.; Vogel, Curtis R.
1992
Quantifying information content for ill-posed problems. Zbl 0712.65043
Gilliam, D. S.; Lund, J. R.; Vogel, C. R.
1990
Stochastic inversion of linear first kind integral equations. II: Discrete theory and convergence results. Zbl 0599.60060
Vogel, C. R.
1984
Inverse problems in astronomical adaptive optics. Zbl 1173.35727
Ellerbroek, B. L.; Vogel, C. R.
2009
A nonnegatively constrained convex programming method for image reconstruction. Zbl 1061.65047
Bardsley, Johnathan M.; Vogel, Curtis R.
2003
Computational methods for inverse problems. Zbl 1008.65103
Vogel, Curtis R.
2002
Quasi-Newton approach to nonnegative image restorations. Zbl 0960.65071
Hanke, Martin; Nagy, James G.; Vogel, Curtis
2000
Two-level preconditioners for regularized inverse problems. I: Theory. Zbl 0941.65056
Hanke, Martin; Vogel, Curtis R.
1999
Sparse matrix computations arising in distributed parameter identification. Zbl 0936.65051
Vogel, Curtis R.
1999
Fast, robust total variation-based reconstruction of noisy, blurred images. Zbl 0993.94519
Vogel, Curtis R.; Oman, Mary E.
1998
Convergence of an iterative method for total variation denoising. Zbl 0898.65034
Dobson, David C.; Vogel, Curtis R.
1997
Numerical recovery of material parameters in Euler-Bernoulli beam models. Zbl 0898.73032
Smith, Ralph C.; Bowers, Kenneth L.; Vogel, Curtis R.
1997
Nonsmooth regularization. Zbl 0865.65038
Vogel, Curtis R.
1997
Iterative methods for total variation denoising. Zbl 0847.65083
Vogel, C. R.; Oman, M. E.
1996
Non-convergence of the $$L$$-curve regularization parameter selection method. Zbl 0867.65025
Vogel, C. R.
1996
A multigrid method for total variation-based image denoising. Zbl 0831.93062
Vogel, C. R.
1995
Analysis of costate discretizations in parameter estimation for linear evolution equations. Zbl 0817.49029
Vogel, C. R.; Wade, J. G.
1995
Analysis of bounded variation penalty methods for ill-posed problems. Zbl 0809.35151
Acar, R.; Vogel, C. R.
1994
Iterative SVD-based methods for ill-posed problems. Zbl 0802.65070
Vogel, C. R.; Wade, J. G.
1994
A modified Levenberg-Marquardt algorithm for large-scale inverse problems. Zbl 0820.93002
Vogel, C. R.; Wade, J. G.
1993
Wave splitting for some nonhyperbolic time-dependent PDEs. Zbl 0786.35099
Vogel, C. R.
1992
Energy optimization in electromagnetic wave propagation. Zbl 0793.35112
Ochs, Robert L. jun.; Vogel, Curtis R.
1992
A fully-Galerkin method for the numerical solution of an inverse problem in a parabolic partial differential equation. Zbl 0709.65104
Lund, John; Vogel, Curtis R.
1990
A constrained least squares regularization method for nonlinear ill-posed problems. Zbl 0696.65096
Vogel, Curtis R.
1990
Quantifying information content for ill-posed problems. Zbl 0712.65043
Gilliam, D. S.; Lund, J. R.; Vogel, C. R.
1990
Well posedness and convergence of some regularization methods for nonlinear ill posed problems. Zbl 0691.35090
Seidman, Thomas I.; Vogel, Curtis R.
1989
Asymptotic theory of filtering for linear operator equations with discrete noisy data. Zbl 0687.65122
Groetsch, C. W.; Vogel, C. R.
1987
Optimal choice of a truncation level for the truncated SVD solution of linear first kind integral equations when data are noisy. Zbl 0593.65091
Vogel, C. R.
1986
Inverse problems for acoustic waves using the penalized likelihood method. Zbl 0603.76083
Kristensson, G.; Vogel, C. R.
1986
A Banach space ODE framework for inverse scattering via invariant imbedding. Zbl 0618.34055
Vogel, C. R.
1986
Numerical solution of a nonlinear ill-posed problem arising in inverse scattering. Zbl 0605.65091
Vogel, C. R.
1985
Stochastic inversion of linear first kind integral equations. I: Continuous theory and the stochastic generalized inverse. Zbl 0602.60052
Prenter, P. M.; Vogel, C. R.
1985
Stochastic inversion of linear first kind integral equations. II: Discrete theory and convergence results. Zbl 0599.60060
Vogel, C. R.
1984
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#### Cited by 1,355 Authors

 20 Chen, Ke 16 Scherzer, Otmar 15 Landi, Germana 15 Ramlau, Ronny 14 Loli Piccolomini, Elena 14 Nagy, James Gerard 12 Bardsley, Johnathan M. 12 Lv, Xiaoguang 11 Reichel, Lothar 10 Hansen, Per Christian 10 Kaltenbacher, Barbara 9 Huang, Ting-Zhu 9 Lesnic, Daniel 9 Shi, Yuying 8 Ascher, Uri M. 8 Chang, Qianshun 8 Marin, Liviu 8 Neubauer, Andreas 7 Luttman, Aaron 7 Tai, Xuecheng 7 Vasin, Vladimir Vasil’evich 6 Burger, Martin 6 Calvetti, Daniela 6 Chan, Raymond Hon-Fu 6 Chan, Tony Fan-Cheong 6 Han, Bo 6 Hintermüller, Michael 6 Khan, Akhtar Ali 6 La Torre, Davide 6 Liu, Jun 6 Morigi, Serena 6 Pang, Zhifeng 6 Renaut, Rosemary Anne 6 Schönlieb, Carola-Bibiane 6 Sgallari, Fiorella 6 Zama, Fabiana 5 Bonettini, Silvia 5 Jin, Bangti 5 Kilmer, Misha E. 5 Kindermann, Stefan 5 Langer, Andreas 5 Leonov, Aleksandr Sergeevich 5 Nashed, M. Zuhair 5 Ng, Michael Kwok-Po 5 Protas, Bartosz 5 Spies, Ruben D. 5 Wang, Yanfei 5 Yi, Dokkyun 5 Zhao, Xile 4 Arridge, Simon R. 4 Barbone, Paul E. 4 Benvenuto, Federico 4 Bergounioux, Maïtine 4 Cheng, Xiaoliang 4 Chung, Julianne M. 4 Dehghan Takht Fooladi, Mehdi 4 Đinh Nho Hào 4 Donatelli, Marco 4 Draganescu, Andrei 4 Favati, Paola 4 Galligani, Emanuele 4 Gazzola, Silvia 4 Grasmair, Markus 4 Guo, Zhichang 4 Haber, Eldad 4 Hofmann, Bernd 4 Hyvönen, Nuutti 4 Jia, Zhongxiao 4 Jiang, Lijian 4 Leitão, Antonio 4 Lotti, Grazia 4 Martínez, José Mario 4 Menchi, Ornella 4 Oberai, Assad A. 4 Prato, Marco 4 Pu, Yifei 4 Romani, Francesco 4 Shidfar, Abdollah 4 Smirnova, Alexandra B. 4 Vabishchevich, Pëtr Nikolaevich 4 Vese, Luminita A. 4 Weickert, Joachim 4 Xu, Jing 4 Xu, Zongben 4 Yang, Yufei 4 Yu, Bo 4 Zhang, Ni 4 Zhou, Jiliu 4 Zolfaghari, Reza 3 Aujol, Jean-François 3 Bakushinskĭ, Anatoliĭ Borisovich B. 3 Banks, Harvey Thomas 3 Bildhauer, Michael 3 Bockmann, Christine 3 Bollt, Erik M. 3 Chang, Huibin 3 Chen, Yunmei 3 Chui, Charles Kam-tai 3 Chung, Matthias 3 De Cezaro, Adriano ...and 1,255 more Authors
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#### Cited in 186 Serials

 41 Inverse Problems 39 Journal of Computational and Applied Mathematics 34 Inverse Problems in Science and Engineering 31 Journal of Mathematical Imaging and Vision 30 Applied Mathematics and Computation 25 Numerical Algorithms 20 SIAM Journal on Scientific Computing 19 Journal of Scientific Computing 17 Journal of Computational Physics 17 Computational Optimization and Applications 16 Applied Numerical Mathematics 16 Journal of Inverse and Ill-Posed Problems 16 SIAM Journal on Imaging Sciences 15 Journal of Mathematical Analysis and Applications 14 Computers & Mathematics with Applications 14 Computer Methods in Applied Mechanics and Engineering 14 Inverse Problems and Imaging 13 International Journal of Computer Mathematics 11 Applicable Analysis 11 BIT 11 Numerical Functional Analysis and Optimization 10 Advances in Computational Mathematics 10 Mathematical Problems in Engineering 8 Applied Mathematical Modelling 8 Applied and Computational Harmonic Analysis 7 Mathematical Methods in the Applied Sciences 7 SIAM Journal on Numerical Analysis 7 Numerical Linear Algebra with Applications 7 Computational Geosciences 6 Mathematics of Computation 6 Computing 6 Mathematical and Computer Modelling 6 Abstract and Applied Analysis 6 SIAM/ASA Journal on Uncertainty Quantification 5 International Journal for Numerical Methods in Engineering 5 Journal of Optimization Theory and Applications 5 Numerische Mathematik 5 Acta Mathematicae Applicatae Sinica. English Series 5 SIAM Journal on Matrix Analysis and Applications 5 Journal of Integral Equations and Applications 5 Linear Algebra and its Applications 5 Optimization Methods & Software 5 Communications in Nonlinear Science and Numerical Simulation 4 Applied Mathematics and Optimization 4 Physica D 4 Computational Mathematics and Mathematical Physics 4 International Journal of Computer Vision 4 ETNA. Electronic Transactions on Numerical Analysis 4 Engineering Analysis with Boundary Elements 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Nonlinear Analysis. Real World Applications 4 Journal of Applied Mathematics 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Proceedings of the Steklov Institute of Mathematics 4 GEM - International Journal on Geomathematics 3 Calcolo 3 Mathematics and Computers in Simulation 3 Numerical Methods for Partial Differential Equations 3 Applied Mathematics Letters 3 Pattern Recognition 3 Mathematical Programming. Series A. Series B 2 Computer Physics Communications 2 Journal of the Franklin Institute 2 Mathematical Biosciences 2 Automatica 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Optimization 2 Computational Mechanics 2 Signal Processing 2 Journal of Global Optimization 2 European Journal of Operational Research 2 Computational Statistics and Data Analysis 2 SIAM Journal on Optimization 2 Applied Mathematics. Series B (English Edition) 2 Journal of Mathematical Sciences (New York) 2 Computational and Applied Mathematics 2 Finance and Stochastics 2 Doklady Mathematics 2 Vietnam Journal of Mathematics 2 PAA. Pattern Analysis and Applications 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Foundations of Computational Mathematics 2 Statistical Modelling 2 Journal of Machine Learning Research (JMLR) 2 Multiscale Modeling & Simulation 2 Acta Numerica 2 Advances in Difference Equations 2 Journal of Industrial and Management Optimization 2 Optimization Letters 2 Computational & Mathematical Methods in Medicine 2 Electronic Journal of Statistics 2 Science China. Mathematics 2 Science China. Information Sciences 1 International Journal of Modern Physics B 1 Communications on Pure and Applied Mathematics 1 International Journal of Engineering Science 1 International Journal of Heat and Mass Transfer 1 International Journal for Numerical Methods in Fluids 1 International Journal of Solids and Structures 1 Journal of Fluid Mechanics ...and 86 more Serials
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#### Cited in 42 Fields

 521 Numerical analysis (65-XX) 240 Information and communication theory, circuits (94-XX) 155 Partial differential equations (35-XX) 139 Computer science (68-XX) 123 Calculus of variations and optimal control; optimization (49-XX) 89 Operations research, mathematical programming (90-XX) 78 Operator theory (47-XX) 68 Statistics (62-XX) 56 Integral equations (45-XX) 55 Biology and other natural sciences (92-XX) 41 Mechanics of deformable solids (74-XX) 35 Geophysics (86-XX) 33 Optics, electromagnetic theory (78-XX) 26 Fluid mechanics (76-XX) 19 Systems theory; control (93-XX) 18 Ordinary differential equations (34-XX) 18 Probability theory and stochastic processes (60-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 15 Classical thermodynamics, heat transfer (80-XX) 14 Integral transforms, operational calculus (44-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Functional analysis (46-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Approximations and expansions (41-XX) 6 Astronomy and astrophysics (85-XX) 4 Real functions (26-XX) 4 Differential geometry (53-XX) 4 Quantum theory (81-XX) 3 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Mathematics education (97-XX)