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Schuster, Thomas

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Author ID: schuster.thomas Recent zbMATH articles by "Schuster, Thomas"
Published as: Schuster, T.; Schuster, Th.; Schuster, Thomas
Homepage: http://www.num.uni-sb.de/schuster/index.php/en/
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 49 Publications since 1996, including 2 Books

Publications by Year

Citations contained in zbMATH

42 Publications have been cited 455 times in 311 Documents Cited by Year
Regularization methods in Banach spaces. Zbl 1259.65087
Schuster, Thomas; Kaltenbacher, Barbara; Hofmann, Bernd; Kazimierski, Kamil S.
116
2012
An iterative regularization method for the solution of the split feasibility problem in Banach spaces. Zbl 1153.46308
Schöpfer, F.; Schuster, T.; Louis, A. K.
48
2008
Nonlinear iterative methods for linear ill-posed problems in Banach spaces. Zbl 1088.65052
Schöpfer, F.; Louis, A. K.; Schuster, T.
39
2006
Iterative methods for nonlinear ill-posed problems in Banach spaces: convergence and applications to parameter identification problems. Zbl 1176.65070
Kaltenbacher, Barbara; Schöpfer, Frank; Schuster, Thomas
27
2009
Filtered backprojection for thermoacoustic computed tomography in spherical geometry. Zbl 1085.65092
Haltmeier, M.; Schuster, T.; Scherzer, O.
25
2005
Fast regularizing sequential subspace optimization in Banach spaces. Zbl 1165.47010
Schöpfer, F.; Schuster, T.
17
2009
Local inversion of the sonar transform regularized by the approximate inverse. Zbl 1214.65066
Quinto, Eric Todd; Rieder, Andreas; Schuster, Thomas
15
2011
Metric and Bregman projections onto affine subspaces and their computation via sequential subspace optimization methods. Zbl 1160.46048
Schöpfer, F.; Schuster, T.; Louis, A. K.
14
2008
The approximate inverse in action with an application to computerized tomography. Zbl 0961.65112
Rieder, Andreas; Schuster, Thomas
14
2000
Minimization of Tikhonov functionals in Banach spaces. Zbl 1357.49135
Bonesky, Thomas; Kazimierski, Kamil S.; Maass, Peter; Schöpfer, Frank; Schuster, Thomas
13
2008
An efficient mollifier method for three-dimensional vector tomography: Convergence analysis and implementation. Zbl 0988.65121
Schuster, Thomas
12
2001
The approximate inverse in action II: convergence and stability. Zbl 1022.65066
Rieder, Andreas; Schuster, Thomas
11
2003
The approximate inverse in action. III: 3D-Doppler tomography. Zbl 1071.65178
Rieder, Andreas; Schuster, Thomas
10
2004
Sequential subspace optimization for nonlinear inverse problems. Zbl 1355.65147
Wald, Anne; Schuster, Thomas
8
2017
Singular value decomposition and its application to numerical inversion for ray transforms in 2D vector tomography. Zbl 1279.33015
Derevtsov, Evgeny Y.; Efimov, Anton V.; Louis, Alfred K.; Schuster, Thomas
8
2011
Polynomial bases for subspaces of vector fields in the unit ball. Method of ridge functions. Zbl 1124.33015
Derevtsov, E. Yu.; Kazantsev, S. G.; Schuster, Th.
8
2007
The 3D Doppler transform: Elementary properties and computation of reconstruction kernels. Zbl 1017.44005
Schuster, Thomas
8
2000
An iterative method to reconstruct the refractive index of a medium from time-of-flight measurements. Zbl 1388.35226
Schröder, Udo; Schuster, Thomas
6
2016
An exact inversion formula for cone beam vector tomography. Zbl 1273.45010
Katsevich, Alexander; Schuster, Thomas
6
2013
The method of approximate inverse: Theory and applications. Zbl 1171.65001
Schuster, Thomas
6
2007
Tomographic reconstruction of the curl and divergence of 2D vector fields taking refractions into account. Zbl 1208.65179
Pfitzenreiter, Tim; Schuster, Thomas
4
2011
On a regularization scheme for linear operators in distribution spaces with an application to the spherical Radon transform. Zbl 1081.65122
Schuster, Thomas; Quinto, Eric Todd
4
2005
A novel filter design technique in 2D computerized tomography. Zbl 0863.65085
Louis, A. K.; Schuster, Th.
4
1996
On the identifiability of the stored energy function of hyperelastic materials from sensor data at the boundary. Zbl 1304.35771
Schuster, Thomas; Wöstehoff, Arne
3
2014
On the application of projection methods for computing optical flow fields. Zbl 1147.68817
Schuster, Thomas; Weickert, Joachim
3
2007
Defect correction in vector field tomography: detecting the potential part of a field using BEM and implementation of the method. Zbl 1078.65123
Schuster, Thomas
3
2005
Influence of refraction to the accuracy of a solution for the 2D-emission tomography problem. Zbl 0961.65113
Derevtsov, E. Yu.; Dietz, R.; Louis, A. K.; Schuster, T.
3
2000
Acceleration of sequential subspace optimization in Banach spaces by orthogonal search directions. Zbl 06950464
Heber, Frederik; Schöpfer, Frank; Schuster, Thomas
2
2019
Tomographic terahertz imaging using sequential subspace optimization. Zbl 1401.78007
Wald, Anne; Schuster, Thomas
2
2018
An improved exact inversion formula for solenoidal fields in cone beam vector tomography. Zbl 1370.65073
Katsevich, Alexander; Rothermel, Dimitri; Schuster, Thomas
2
2017
Asymptotic inversion formulas in 3D vector field tomography for different geometries. Zbl 1279.42028
Kazantsev, Sergey G.; Schuster, Thomas
2
2011
A stable inversion scheme for the Laplace transform using arbitrarily distributed data scanning points. Zbl 1032.65140
Schuster, T.
2
2003
Preface: Dynamic inverse problems: modelling-regularization-numerics. Zbl 1395.00048
Schuster, Thomas (ed.); Hahn, Bernadette (ed.); Burger, Martin (ed.)
1
2018
A modified algebraic reconstruction technique taking refraction into account with an application in terahertz tomography. Zbl 1398.65363
Tepe, Jens; Schuster, Thomas; Littau, Benjamin
1
2017
Identifying the stored energy of a hyperelastic structure by using an attenuated Landweber method. Zbl 1394.74047
Seydel, Julia; Schuster, Thomas
1
2017
On the linearization of identifying the stored energy function of a hyperelastic material from full knowledge of the displacement field. Zbl 1366.35243
Seydel, J.; Schuster, T.
1
2017
Uniqueness and stability result for Cauchy’s equation of motion for a certain class of hyperelastic materials. Zbl 1326.35207
Wöstehoff, A.; Schuster, T.
1
2015
Defect localization in fibre-reinforced composites by computing external volume forces from surface sensor measurements. Zbl 1333.35338
Binder, F.; Schöpfer, F.; Schuster, T.
1
2015
Solving linear operator equations in Banach spaces non-iteratively by the method of approximate inverse. Zbl 1218.47023
Schuster, Thomas; Schöpfer, Frank
1
2010
Error estimates for defect correction methods in Doppler tomography. Zbl 1099.65131
Schuster, T.
1
2006
Two approaches to the problem of defect correction in vector field tomography solving boundary value problems. Zbl 1099.65101
Derevtsov, E. Yu.; Louis, A. K.; Schuster, T.
1
2004
Approximate inverse meets local tomography. Zbl 0966.65109
Rieder, Andreas; Dietz, Rainer; Schuster, Thomas
1
2000
Acceleration of sequential subspace optimization in Banach spaces by orthogonal search directions. Zbl 06950464
Heber, Frederik; Schöpfer, Frank; Schuster, Thomas
2
2019
Tomographic terahertz imaging using sequential subspace optimization. Zbl 1401.78007
Wald, Anne; Schuster, Thomas
2
2018
Preface: Dynamic inverse problems: modelling-regularization-numerics. Zbl 1395.00048
Schuster, Thomas (ed.); Hahn, Bernadette (ed.); Burger, Martin (ed.)
1
2018
Sequential subspace optimization for nonlinear inverse problems. Zbl 1355.65147
Wald, Anne; Schuster, Thomas
8
2017
An improved exact inversion formula for solenoidal fields in cone beam vector tomography. Zbl 1370.65073
Katsevich, Alexander; Rothermel, Dimitri; Schuster, Thomas
2
2017
A modified algebraic reconstruction technique taking refraction into account with an application in terahertz tomography. Zbl 1398.65363
Tepe, Jens; Schuster, Thomas; Littau, Benjamin
1
2017
Identifying the stored energy of a hyperelastic structure by using an attenuated Landweber method. Zbl 1394.74047
Seydel, Julia; Schuster, Thomas
1
2017
On the linearization of identifying the stored energy function of a hyperelastic material from full knowledge of the displacement field. Zbl 1366.35243
Seydel, J.; Schuster, T.
1
2017
An iterative method to reconstruct the refractive index of a medium from time-of-flight measurements. Zbl 1388.35226
Schröder, Udo; Schuster, Thomas
6
2016
Uniqueness and stability result for Cauchy’s equation of motion for a certain class of hyperelastic materials. Zbl 1326.35207
Wöstehoff, A.; Schuster, T.
1
2015
Defect localization in fibre-reinforced composites by computing external volume forces from surface sensor measurements. Zbl 1333.35338
Binder, F.; Schöpfer, F.; Schuster, T.
1
2015
On the identifiability of the stored energy function of hyperelastic materials from sensor data at the boundary. Zbl 1304.35771
Schuster, Thomas; Wöstehoff, Arne
3
2014
An exact inversion formula for cone beam vector tomography. Zbl 1273.45010
Katsevich, Alexander; Schuster, Thomas
6
2013
Regularization methods in Banach spaces. Zbl 1259.65087
Schuster, Thomas; Kaltenbacher, Barbara; Hofmann, Bernd; Kazimierski, Kamil S.
116
2012
Local inversion of the sonar transform regularized by the approximate inverse. Zbl 1214.65066
Quinto, Eric Todd; Rieder, Andreas; Schuster, Thomas
15
2011
Singular value decomposition and its application to numerical inversion for ray transforms in 2D vector tomography. Zbl 1279.33015
Derevtsov, Evgeny Y.; Efimov, Anton V.; Louis, Alfred K.; Schuster, Thomas
8
2011
Tomographic reconstruction of the curl and divergence of 2D vector fields taking refractions into account. Zbl 1208.65179
Pfitzenreiter, Tim; Schuster, Thomas
4
2011
Asymptotic inversion formulas in 3D vector field tomography for different geometries. Zbl 1279.42028
Kazantsev, Sergey G.; Schuster, Thomas
2
2011
Solving linear operator equations in Banach spaces non-iteratively by the method of approximate inverse. Zbl 1218.47023
Schuster, Thomas; Schöpfer, Frank
1
2010
Iterative methods for nonlinear ill-posed problems in Banach spaces: convergence and applications to parameter identification problems. Zbl 1176.65070
Kaltenbacher, Barbara; Schöpfer, Frank; Schuster, Thomas
27
2009
Fast regularizing sequential subspace optimization in Banach spaces. Zbl 1165.47010
Schöpfer, F.; Schuster, T.
17
2009
An iterative regularization method for the solution of the split feasibility problem in Banach spaces. Zbl 1153.46308
Schöpfer, F.; Schuster, T.; Louis, A. K.
48
2008
Metric and Bregman projections onto affine subspaces and their computation via sequential subspace optimization methods. Zbl 1160.46048
Schöpfer, F.; Schuster, T.; Louis, A. K.
14
2008
Minimization of Tikhonov functionals in Banach spaces. Zbl 1357.49135
Bonesky, Thomas; Kazimierski, Kamil S.; Maass, Peter; Schöpfer, Frank; Schuster, Thomas
13
2008
Polynomial bases for subspaces of vector fields in the unit ball. Method of ridge functions. Zbl 1124.33015
Derevtsov, E. Yu.; Kazantsev, S. G.; Schuster, Th.
8
2007
The method of approximate inverse: Theory and applications. Zbl 1171.65001
Schuster, Thomas
6
2007
On the application of projection methods for computing optical flow fields. Zbl 1147.68817
Schuster, Thomas; Weickert, Joachim
3
2007
Nonlinear iterative methods for linear ill-posed problems in Banach spaces. Zbl 1088.65052
Schöpfer, F.; Louis, A. K.; Schuster, T.
39
2006
Error estimates for defect correction methods in Doppler tomography. Zbl 1099.65131
Schuster, T.
1
2006
Filtered backprojection for thermoacoustic computed tomography in spherical geometry. Zbl 1085.65092
Haltmeier, M.; Schuster, T.; Scherzer, O.
25
2005
On a regularization scheme for linear operators in distribution spaces with an application to the spherical Radon transform. Zbl 1081.65122
Schuster, Thomas; Quinto, Eric Todd
4
2005
Defect correction in vector field tomography: detecting the potential part of a field using BEM and implementation of the method. Zbl 1078.65123
Schuster, Thomas
3
2005
The approximate inverse in action. III: 3D-Doppler tomography. Zbl 1071.65178
Rieder, Andreas; Schuster, Thomas
10
2004
Two approaches to the problem of defect correction in vector field tomography solving boundary value problems. Zbl 1099.65101
Derevtsov, E. Yu.; Louis, A. K.; Schuster, T.
1
2004
The approximate inverse in action II: convergence and stability. Zbl 1022.65066
Rieder, Andreas; Schuster, Thomas
11
2003
A stable inversion scheme for the Laplace transform using arbitrarily distributed data scanning points. Zbl 1032.65140
Schuster, T.
2
2003
An efficient mollifier method for three-dimensional vector tomography: Convergence analysis and implementation. Zbl 0988.65121
Schuster, Thomas
12
2001
The approximate inverse in action with an application to computerized tomography. Zbl 0961.65112
Rieder, Andreas; Schuster, Thomas
14
2000
The 3D Doppler transform: Elementary properties and computation of reconstruction kernels. Zbl 1017.44005
Schuster, Thomas
8
2000
Influence of refraction to the accuracy of a solution for the 2D-emission tomography problem. Zbl 0961.65113
Derevtsov, E. Yu.; Dietz, R.; Louis, A. K.; Schuster, T.
3
2000
Approximate inverse meets local tomography. Zbl 0966.65109
Rieder, Andreas; Dietz, Rainer; Schuster, Thomas
1
2000
A novel filter design technique in 2D computerized tomography. Zbl 0863.65085
Louis, A. K.; Schuster, Th.
4
1996
all top 5

Cited by 433 Authors

19 Hofmann, Bernd
16 Schuster, Thomas
15 Scherzer, Otmar
11 Han, Bo
11 Jin, Qinian
9 Burger, Martin
9 Shehu, Yekini
8 Haltmeier, Markus
8 Quinto, Eric Todd
7 Kaltenbacher, Barbara
7 Trương Minh Tuyên
6 Kazantsev, Sergeĭ Gavrilovich
6 Louis, Alfred Karl
6 Rieder, Andreas
5 Derevtsov, Evgeny Yurievich
5 Gerth, Daniel
5 Gu, Ruixue
5 Mewomo, Oluwatosin Temitope
5 Reich, Simeon
5 Ren, Kui
5 Schöpfer, Frank
5 Svetov, Ivan Evgenyevich
5 Wang, Wei
5 Zou, Jun
4 Albani, Vinicius V. L.
4 Chen, Dehan
4 Cholamjiak, Prasit
4 Estatico, Claudio
4 Flemming, Jens
4 Hahn, Bernadette Nadine
4 Iyiola, Olaniyi Samuel
4 Kazimierski, Kamil S.
4 Klibanov, Michael V.
4 Maass, Peter
4 Margotti, Fábio
4 Mathé, Peter
4 Mishra, Rohit Kumar
4 Nguyen Viet Linh
4 Polyakova, Anna Petrovna
4 Qiu, Lingyun
4 Resmerita, Elena
4 Shi, Luoyi
4 Tong, Shanshan
4 Wald, Anne
4 Wu, Yujing
3 Ammari, Habib M.
3 Arridge, Simon R.
3 Balandin, A. L.
3 Beckmann, Matthias
3 Bredies, Kristian
3 Chen, Rudong
3 Clason, Christian
3 De Cezaro, Adriano
3 Dixit, Sharad Kumar
3 Grathwohl, Christine
3 Hein, Torsten
3 Jin, Bangti
3 Jolaoso, Lateef Olakunle
3 Krishnan, Venkateswaran P.
3 Kunstmann, Peer Christian
3 Lechleiter, Armin
3 Lorenz, Dirk Alfred
3 Lu, Xiliang
3 Mahale, Pallavi
3 Maltseva, Svetlana Vasilevna
3 Moon, Sunghwan
3 Neubauer, Andreas
3 Suantai, Suthep
3 Taiwo, Adeolu
3 Wang, Fenghui
3 Wang, Jinping
3 Zubelli, Jorge P.
2 Ambartsoumian, Gaik
2 Anzengruber, Stephan W.
2 Benning, Martin
2 Boţ, Radu Ioan
2 Brianzi, Paola
2 Bukhgeim, Alexander A.
2 Che, Haitao
2 Cuomo, Salvatore
2 D’Amore, Luisa
2 de Hoop, Maarten V.
2 Di Benedetto, Fabio
2 Ding, Liang
2 Dong, Qiaoli
2 Felea, Raluca
2 Frikel, Jürgen
2 Fu, Chuli
2 Fu, Zhenwu
2 Giordano, Matteo
2 Giri, Ankik Kumar
2 Grasmair, Markus
2 Hegland, Markus
2 Hofmann, Christopher
2 Holler, Martin
2 Iske, Armin
2 Jiao, Yuling
2 Kindermann, Stefan
2 Kirisits, Clemens
2 Kokurin, Mikhail Yur’evich
...and 333 more Authors
all top 5

Cited in 83 Serials

49 Inverse Problems
28 Journal of Inverse and Ill-Posed Problems
15 Inverse Problems and Imaging
11 Applicable Analysis
10 Journal of Computational and Applied Mathematics
10 Numerical Functional Analysis and Optimization
8 Numerische Mathematik
7 Journal of Mathematical Analysis and Applications
7 Optimization
7 Inverse Problems in Science and Engineering
7 SIAM Journal on Imaging Sciences
6 Numerical Algorithms
6 SIAM Journal on Mathematical Analysis
5 SIAM Journal on Numerical Analysis
5 Journal of Mathematical Imaging and Vision
5 Abstract and Applied Analysis
4 Mathematics of Computation
4 SIAM Journal on Optimization
4 Mathematical Problems in Engineering
4 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
4 Journal of Fixed Point Theory and Applications
4 Journal of Nonlinear Science and Applications
3 Mathematical Methods in the Applied Sciences
3 Applied Numerical Mathematics
3 Journal of Integral Equations and Applications
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 SIAM Journal on Applied Mathematics
3 Computational Optimization and Applications
3 ETNA. Electronic Transactions on Numerical Analysis
3 GEM - International Journal on Geomathematics
2 Computers & Mathematics with Applications
2 Applied Mathematics and Computation
2 Applied Mathematics and Optimization
2 Calcolo
2 Quaestiones Mathematicae
2 Journal of Scientific Computing
2 European Journal of Applied Mathematics
2 Mathematical Programming. Series A. Series B
2 Computational and Applied Mathematics
2 Acta Numerica
2 Sibirskie Èlektronnye Matematicheskie Izvestiya
2 SIAM/ASA Journal on Uncertainty Quantification
1 Advances in Applied Probability
1 Journal of Computational Physics
1 Journal of Mathematical Biology
1 Physics Letters. A
1 Computing
1 Journal of Differential Equations
1 Journal of the Korean Mathematical Society
1 Journal of Optimization Theory and Applications
1 Le Matematiche
1 Mathematics and Computers in Simulation
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 Acta Applicandae Mathematicae
1 Computational Mathematics and Mathematical Physics
1 Bulletin of the American Mathematical Society. New Series
1 SIAM Journal on Scientific Computing
1 Journal of Mathematical Sciences (New York)
1 Advances in Computational Mathematics
1 Discrete and Continuous Dynamical Systems
1 The Journal of Fourier Analysis and Applications
1 Finance and Stochastics
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Optimization Methods & Software
1 Journal of Inequalities and Applications
1 International Journal of Theoretical and Applied Finance
1 Nonlinear Analysis. Real World Applications
1 Computational Methods in Applied Mathematics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika
1 Communications on Pure and Applied Analysis
1 International Journal of Computational Methods
1 GAMM-Mitteilungen
1 Complex Variables and Elliptic Equations
1 Electronic Journal of Statistics
1 Algorithms
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Symmetry
1 Analysis and Mathematical Physics
1 Frontiers of Computer Science
1 Advances in Operator Theory
1 Ural Mathematical Journal
all top 5

Cited in 36 Fields

206 Numerical analysis (65-XX)
116 Operator theory (47-XX)
70 Partial differential equations (35-XX)
49 Calculus of variations and optimal control; optimization (49-XX)
43 Integral transforms, operational calculus (44-XX)
36 Biology and other natural sciences (92-XX)
34 Operations research, mathematical programming (90-XX)
33 Information and communication theory, circuits (94-XX)
17 Integral equations (45-XX)
14 Functional analysis (46-XX)
12 Statistics (62-XX)
11 Differential geometry (53-XX)
10 Computer science (68-XX)
10 Mechanics of deformable solids (74-XX)
10 Optics, electromagnetic theory (78-XX)
7 Special functions (33-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
6 Functions of a complex variable (30-XX)
6 Approximations and expansions (41-XX)
6 Geophysics (86-XX)
4 General and overarching topics; collections (00-XX)
4 General topology (54-XX)
4 Probability theory and stochastic processes (60-XX)
3 Fluid mechanics (76-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Systems theory; control (93-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 History and biography (01-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Real functions (26-XX)
1 Abstract harmonic analysis (43-XX)
1 Quantum theory (81-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Relativity and gravitational theory (83-XX)
1 Mathematics education (97-XX)

Citations by Year

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