Edit Profile (opens in new tab) Vogel, Curtis R. Compute Distance To: Compute 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 all top 5 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. all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1008.65103Vogel, Curtis R. 344 2002 Iterative methods for total variation denoising. Zbl 0847.65083Vogel, C. R.; Oman, M. E. 190 1996 Analysis of bounded variation penalty methods for ill-posed problems. Zbl 0809.35151Acar, R.; Vogel, C. R. 190 1994 Fast, robust total variation-based reconstruction of noisy, blurred images. Zbl 0993.94519Vogel, Curtis R.; Oman, Mary E. 87 1998 Convergence of an iterative method for total variation denoising. Zbl 0898.65034Dobson, David C.; Vogel, Curtis R. 62 1997 Well posedness and convergence of some regularization methods for nonlinear ill posed problems. Zbl 0691.35090Seidman, Thomas I.; Vogel, Curtis R. 47 1989 Non-convergence of the \(L\)-curve regularization parameter selection method. Zbl 0867.65025Vogel, C. R. 42 1996 A nonnegatively constrained convex programming method for image reconstruction. Zbl 1061.65047Bardsley, Johnathan M.; Vogel, Curtis R. 27 2003 Quasi-Newton approach to nonnegative image restorations. Zbl 0960.65071Hanke, Martin; Nagy, James G.; Vogel, Curtis 25 2000 A multigrid method for total variation-based image denoising. Zbl 0831.93062Vogel, C. R. 19 1995 A fully-Galerkin method for the numerical solution of an inverse problem in a parabolic partial differential equation. Zbl 0709.65104Lund, John; Vogel, Curtis R. 18 1990 Two-level preconditioners for regularized inverse problems. I: Theory. Zbl 0941.65056Hanke, Martin; Vogel, Curtis R. 16 1999 Inverse problems in astronomical adaptive optics. Zbl 1173.35727Ellerbroek, B. L.; Vogel, C. R. 15 2009 Iterative SVD-based methods for ill-posed problems. Zbl 0802.65070Vogel, C. R.; Wade, J. G. 10 1994 Optimal choice of a truncation level for the truncated SVD solution of linear first kind integral equations when data are noisy. Zbl 0593.65091Vogel, C. R. 9 1986 A constrained least squares regularization method for nonlinear ill-posed problems. Zbl 0696.65096Vogel, Curtis R. 9 1990 Inverse problems for acoustic waves using the penalized likelihood method. Zbl 0603.76083Kristensson, G.; Vogel, C. R. 6 1986 Analysis of costate discretizations in parameter estimation for linear evolution equations. Zbl 0817.49029Vogel, C. R.; Wade, J. G. 6 1995 Sparse matrix computations arising in distributed parameter identification. Zbl 0936.65051Vogel, Curtis R. 3 1999 A Banach space ODE framework for inverse scattering via invariant imbedding. Zbl 0618.34055Vogel, C. R. 3 1986 Stochastic inversion of linear first kind integral equations. I: Continuous theory and the stochastic generalized inverse. Zbl 0602.60052Prenter, P. M.; Vogel, C. R. 2 1985 Numerical solution of a nonlinear ill-posed problem arising in inverse scattering. Zbl 0605.65091Vogel, C. R. 2 1985 Asymptotic theory of filtering for linear operator equations with discrete noisy data. Zbl 0687.65122Groetsch, C. W.; Vogel, C. R. 2 1987 Stochastic inversion of linear first kind integral equations. II: Discrete theory and convergence results. Zbl 0599.60060Vogel, C. R. 1 1984 Numerical recovery of material parameters in Euler-Bernoulli beam models. Zbl 0898.73032Smith, Ralph C.; Bowers, Kenneth L.; Vogel, Curtis R. 1 1997 A modified Levenberg-Marquardt algorithm for large-scale inverse problems. Zbl 0820.93002Vogel, C. R.; Wade, J. G. 1 1993 Quantifying information content for ill-posed problems. Zbl 0712.65043Gilliam, D. S.; Lund, J. R.; Vogel, C. R. 1 1990 Energy optimization in electromagnetic wave propagation. Zbl 0793.35112Ochs, Robert L. jun.; Vogel, Curtis R. 1 1992 Wave splitting for some nonhyperbolic time-dependent PDEs. Zbl 0786.35099Vogel, C. R. 1 1992 Nonsmooth regularization. Zbl 0865.65038Vogel, Curtis R. 1 1997 Inverse problems in astronomical adaptive optics. Zbl 1173.35727Ellerbroek, B. L.; Vogel, C. R. 15 2009 A nonnegatively constrained convex programming method for image reconstruction. Zbl 1061.65047Bardsley, Johnathan M.; Vogel, Curtis R. 27 2003 Computational methods for inverse problems. Zbl 1008.65103Vogel, Curtis R. 344 2002 Quasi-Newton approach to nonnegative image restorations. Zbl 0960.65071Hanke, Martin; Nagy, James G.; Vogel, Curtis 25 2000 Two-level preconditioners for regularized inverse problems. I: Theory. Zbl 0941.65056Hanke, Martin; Vogel, Curtis R. 16 1999 Sparse matrix computations arising in distributed parameter identification. Zbl 0936.65051Vogel, Curtis R. 3 1999 Fast, robust total variation-based reconstruction of noisy, blurred images. Zbl 0993.94519Vogel, Curtis R.; Oman, Mary E. 87 1998 Convergence of an iterative method for total variation denoising. Zbl 0898.65034Dobson, David C.; Vogel, Curtis R. 62 1997 Numerical recovery of material parameters in Euler-Bernoulli beam models. Zbl 0898.73032Smith, Ralph C.; Bowers, Kenneth L.; Vogel, Curtis R. 1 1997 Nonsmooth regularization. Zbl 0865.65038Vogel, Curtis R. 1 1997 Iterative methods for total variation denoising. Zbl 0847.65083Vogel, C. R.; Oman, M. E. 190 1996 Non-convergence of the \(L\)-curve regularization parameter selection method. Zbl 0867.65025Vogel, C. R. 42 1996 A multigrid method for total variation-based image denoising. Zbl 0831.93062Vogel, C. R. 19 1995 Analysis of costate discretizations in parameter estimation for linear evolution equations. Zbl 0817.49029Vogel, C. R.; Wade, J. G. 6 1995 Analysis of bounded variation penalty methods for ill-posed problems. Zbl 0809.35151Acar, R.; Vogel, C. R. 190 1994 Iterative SVD-based methods for ill-posed problems. Zbl 0802.65070Vogel, C. R.; Wade, J. G. 10 1994 A modified Levenberg-Marquardt algorithm for large-scale inverse problems. Zbl 0820.93002Vogel, C. R.; Wade, J. G. 1 1993 Energy optimization in electromagnetic wave propagation. Zbl 0793.35112Ochs, Robert L. jun.; Vogel, Curtis R. 1 1992 Wave splitting for some nonhyperbolic time-dependent PDEs. Zbl 0786.35099Vogel, C. R. 1 1992 A fully-Galerkin method for the numerical solution of an inverse problem in a parabolic partial differential equation. Zbl 0709.65104Lund, John; Vogel, Curtis R. 18 1990 A constrained least squares regularization method for nonlinear ill-posed problems. Zbl 0696.65096Vogel, Curtis R. 9 1990 Quantifying information content for ill-posed problems. Zbl 0712.65043Gilliam, D. S.; Lund, J. R.; Vogel, C. R. 1 1990 Well posedness and convergence of some regularization methods for nonlinear ill posed problems. Zbl 0691.35090Seidman, Thomas I.; Vogel, Curtis R. 47 1989 Asymptotic theory of filtering for linear operator equations with discrete noisy data. Zbl 0687.65122Groetsch, C. W.; Vogel, C. R. 2 1987 Optimal choice of a truncation level for the truncated SVD solution of linear first kind integral equations when data are noisy. Zbl 0593.65091Vogel, C. R. 9 1986 Inverse problems for acoustic waves using the penalized likelihood method. Zbl 0603.76083Kristensson, G.; Vogel, C. R. 6 1986 A Banach space ODE framework for inverse scattering via invariant imbedding. Zbl 0618.34055Vogel, C. R. 3 1986 Stochastic inversion of linear first kind integral equations. I: Continuous theory and the stochastic generalized inverse. Zbl 0602.60052Prenter, P. M.; Vogel, C. R. 2 1985 Numerical solution of a nonlinear ill-posed problem arising in inverse scattering. Zbl 0605.65091Vogel, C. R. 2 1985 Stochastic inversion of linear first kind integral equations. II: Discrete theory and convergence results. Zbl 0599.60060Vogel, C. R. 1 1984 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year