## Vogel, Curtis R.

Compute Distance To:
 Author ID: vogel.curtis-r Published as: Vogel, Curtis R.; Vogel, C. R.; Vogel, Curtis more...less Homepage: http://www.math.montana.edu/_archive/people/faculty/retired_and_emeritus/cvogel.... External Links: IdRef
 Documents Indexed: 38 Publications since 1980, including 1 Book Co-Authors: 11 Co-Authors with 13 Joint Publications 271 Co-Co-Authors
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### Co-Authors

 15 single-authored 3 Wade, J. Gordon 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 Gilliam, David S. 1 Hoar, Robert H. 1 Kristensson, Gerhard 1 Lund, John R. 1 Nagy, James Gerard 1 Prenter, Patricia M. 1 Seidman, Thomas I. 1 Smith, Ralph C.
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### Serials

 8 Inverse Problems 3 SIAM Journal on Scientific Computing 2 Journal of Mathematical Analysis and Applications 2 SIAM Journal on Control and Optimization 2 SIAM Journal on Numerical Analysis 1 Mathematics of Computation 1 Journal of Optimization Theory and Applications 1 Numerische Mathematik 1 Journal of Integral Equations 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

 25 Numerical analysis (65-XX) 13 Integral equations (45-XX) 10 Partial differential equations (35-XX) 6 Operator theory (47-XX) 4 Systems theory; control (93-XX) 3 Operations research, mathematical programming (90-XX) 3 Information and communication theory, circuits (94-XX) 2 Ordinary differential equations (34-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 1 Number theory (11-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

30 Publications have been cited 1,141 times in 709 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 multigrid method for total variation-based image denoising. Zbl 0831.93062
Vogel, C. R.
1995
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
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
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
A constrained least squares regularization method for nonlinear ill-posed problems. Zbl 0696.65096
Vogel, Curtis R.
1990
Inverse problems for acoustic waves using the penalized likelihood method. Zbl 0603.76083
Kristensson, G.; 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
Sparse matrix computations arising in distributed parameter identification. Zbl 0936.65051
Vogel, Curtis R.
1999
A Banach space ODE framework for inverse scattering via invariant imbedding. Zbl 0618.34055
Vogel, C. R.
1986
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 solution of a nonlinear ill-posed problem arising in inverse scattering. Zbl 0605.65091
Vogel, C. R.
1985
Asymptotic theory of filtering for linear operator equations with discrete noisy data. Zbl 0687.65122
Groetsch, C. W.; Vogel, C. R.
1987
Stochastic inversion of linear first kind integral equations. II: Discrete theory and convergence results. Zbl 0599.60060
Vogel, C. R.
1984
Numerical recovery of material parameters in Euler-Bernoulli beam models. Zbl 0898.73032
Smith, Ralph C.; Bowers, Kenneth L.; Vogel, Curtis R.
1997
A modified Levenberg-Marquardt algorithm for large-scale inverse problems. Zbl 0820.93002
Vogel, C. R.; Wade, J. G.
1993
Quantifying information content for ill-posed problems. Zbl 0712.65043
Gilliam, D. S.; Lund, J. R.; Vogel, C. R.
1990
Energy optimization in electromagnetic wave propagation. Zbl 0793.35112
Ochs, Robert L. jun.; Vogel, Curtis R.
1992
Wave splitting for some nonhyperbolic time-dependent PDEs. Zbl 0786.35099
Vogel, C. R.
1992
Nonsmooth regularization. Zbl 0865.65038
Vogel, Curtis R.
1997
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
Energy optimization in electromagnetic wave propagation. Zbl 0793.35112
Ochs, Robert L. jun.; Vogel, Curtis R.
1992
Wave splitting for some nonhyperbolic time-dependent PDEs. Zbl 0786.35099
Vogel, C. 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
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 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. II: Discrete theory and convergence results. Zbl 0599.60060
Vogel, C. R.
1984
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### Cited by 1,223 Authors

 19 Chen, Ke 17 Ramlau, Ronny 15 Landi, Germana 13 Loli Piccolomini, Elena 13 Lv, Xiaoguang 13 Nagy, James Gerard 13 Scherzer, Otmar 12 Bardsley, Johnathan M. 11 Kaltenbacher, Barbara 9 Hansen, Per Christian 9 Reichel, Lothar 9 Shi, Yuying 8 Chang, Qianshun 8 Huang, Ting-Zhu 8 Tai, Xuecheng 7 Ascher, Uri M. 7 Chan, Tony Fan-Cheong 6 Chan, Raymond Hon-Fu 6 Chung, Julianne M. 6 Hyvönen, Nuutti 6 Liu, Jun 6 Neubauer, Andreas 6 Pang, Zhifeng 6 Renaut, Rosemary Anne 6 Zama, Fabiana 5 Calvetti, Daniela 5 Duan, Yuping 5 Hintermüller, Michael 5 Jia, Zhongxiao 5 La Torre, Davide 5 Leitão, Antonio 5 Morigi, Serena 5 Nashed, M. Zuhair 5 Protas, Bartosz 5 Schönlieb, Carola-Bibiane 5 Sgallari, Fiorella 5 Wang, Yanfei 5 Yi, Dokkyun 4 Ahmad, Shahbaz 4 Arridge, Simon R. 4 Barbone, Paul E. 4 Brito-Loeza, Carlos 4 Chang, Huibin 4 de Sturler, Eric 4 Donatelli, Marco 4 Draganescu, Andrei 4 Fairag, Faisal A. 4 Favati, Paola 4 Galligani, Emanuele 4 Gazzola, Silvia 4 Haber, Eldad 4 Han, Bo 4 Hofmann, Bernd 4 Jiang, Lijian 4 Kilmer, Misha E. 4 Kindermann, Stefan 4 Kunze, Herb E. 4 Lotti, Grazia 4 Luttman, Aaron 4 Martínez, José Mario 4 Menchi, Ornella 4 Ng, Michael Kwok-Po 4 Oberai, Assad A. 4 Pu, Yifei 4 Romani, Francesco 4 Shidfar, Abdollah 4 Steidl, Gabriele 4 Svaiter, Benar Fux 4 Treister, Eran 4 Vabishchevich, Pëtr Nikolaevich 4 Xu, Jing 4 Xu, Zongben 4 Yang, Yufei 4 Yu, Bo 4 Zhang, Ni 4 Zhao, Xile 4 Zheng, Guanghui 4 Zhou, Jiliu 4 Zolfaghari, Reza 3 Al-Mahdi, Adel M. 3 Aujol, Jean-François 3 Benvenuto, Federico 3 Bergmann, Ronny 3 Bockmann, Christine 3 Bonettini, Silvia 3 Burger, Martin 3 Chui, Charles Kam-tai 3 Chung, Matthias 3 Darbon, Jerome 3 Dehghan Takht Fooladi, Mehdi 3 Dong, Yiqiu 3 Fornasier, Massimo 3 Freeden, Willi 3 Frick, Klaus 3 George, Santhosh 3 Ghattas, Omar N. 3 Givoli, Dan 3 Haltmeier, Markus 3 Huan, Zhongdan 3 Huang, Hui ...and 1,123 more Authors
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### Cited in 170 Serials

 41 Inverse Problems 36 Inverse Problems in Science and Engineering 33 Journal of Computational and Applied Mathematics 33 Journal of Mathematical Imaging and Vision 26 Applied Mathematics and Computation 22 Numerical Algorithms 21 SIAM Journal on Scientific Computing 19 Journal of Scientific Computing 16 International Journal of Computer Mathematics 15 Journal of Computational Physics 15 Computational Optimization and Applications 15 Inverse Problems and Imaging 12 Journal of Inverse and Ill-Posed Problems 12 SIAM Journal on Imaging Sciences 10 Applicable Analysis 10 Computers & Mathematics with Applications 10 Numerical Functional Analysis and Optimization 10 Applied Numerical Mathematics 9 Computer Methods in Applied Mechanics and Engineering 9 BIT 9 Advances in Computational Mathematics 9 Mathematical Problems in Engineering 8 Applied Mathematical Modelling 8 Applied and Computational Harmonic Analysis 8 International Journal of Computer Vision 7 SIAM Journal on Matrix Analysis and Applications 7 Numerical Linear Algebra with Applications 6 Journal of Mathematical Analysis and Applications 6 Mathematical Methods in the Applied Sciences 6 Mathematics of Computation 5 Journal of Optimization Theory and Applications 5 Numerische Mathematik 5 SIAM Journal on Numerical Analysis 5 Acta Mathematicae Applicatae Sinica. English Series 5 Optimization Methods & Software 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 SIAM/ASA Journal on Uncertainty Quantification 4 Computing 4 International Journal for Numerical Methods in Engineering 4 Mathematical and Computer Modelling 4 Linear Algebra and its Applications 4 ETNA. Electronic Transactions on Numerical Analysis 4 Abstract and Applied Analysis 4 Communications in Nonlinear Science and Numerical Simulation 4 Computational Geosciences 4 GEM - International Journal on Geomathematics 3 Calcolo 3 Mathematics and Computers in Simulation 3 Numerical Methods for Partial Differential Equations 3 Journal of Integral Equations and Applications 3 Computational Mathematics and Mathematical Physics 3 Pattern Recognition 3 Nonlinear Analysis. Real World Applications 3 Foundations of Computational Mathematics 3 Journal of Applied Mathematics 3 Journal of Machine Learning Research (JMLR) 3 Optimization Letters 2 Journal of the Franklin Institute 2 Mathematical Biosciences 2 Automatica 2 Physica D 2 Signal Processing 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Mathematical Programming. Series A. Series B 2 Applied Mathematics. Series B (English Edition) 2 Computational and Applied Mathematics 2 Finance and Stochastics 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Vietnam Journal of Mathematics 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Optimization and Engineering 2 Journal of Applied Mathematics and Computing 2 Multiscale Modeling & Simulation 2 Acta Numerica 2 Advances in Difference Equations 2 Journal of Industrial and Management Optimization 2 Computational & Mathematical Methods in Medicine 2 Communications in Computational Physics 2 Electronic Journal of Statistics 2 Science China. Mathematics 2 Science China. Information Sciences 2 Numerical Algebra, Control and Optimization 2 East Asian Journal on Applied Mathematics 1 International Journal of Modern Physics B 1 Computer Physics Communications 1 International Journal of Engineering Science 1 International Journal for Numerical Methods in Fluids 1 International Journal of Solids and Structures 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Statistics 1 Information Sciences 1 Journal of Econometrics 1 Journal of Multivariate Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Results in Mathematics 1 Siberian Mathematical Journal 1 Zeitschrift für Analysis und ihre Anwendungen ...and 70 more Serials
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### Cited in 37 Fields

 469 Numerical analysis (65-XX) 224 Information and communication theory, circuits (94-XX) 139 Computer science (68-XX) 126 Partial differential equations (35-XX) 101 Calculus of variations and optimal control; optimization (49-XX) 84 Operations research, mathematical programming (90-XX) 64 Statistics (62-XX) 54 Operator theory (47-XX) 54 Biology and other natural sciences (92-XX) 47 Integral equations (45-XX) 39 Geophysics (86-XX) 33 Optics, electromagnetic theory (78-XX) 30 Mechanics of deformable solids (74-XX) 21 Fluid mechanics (76-XX) 19 Probability theory and stochastic processes (60-XX) 17 Systems theory; control (93-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 16 Ordinary differential equations (34-XX) 12 Integral transforms, operational calculus (44-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 8 Functional analysis (46-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Approximations and expansions (41-XX) 7 Astronomy and astrophysics (85-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Real functions (26-XX) 3 Differential geometry (53-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Mathematics education (97-XX)