Andreas Neubauer
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Mathematics
Andreas Neubauer's Degrees
- PhD Mathematics University of Vienna
- Masters Mathematics University of Vienna
- Bachelors Mathematics University of Vienna
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(Suggest an Edit or Addition)Andreas Neubauer's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Regularization of Inverse Problems (1996) (2918)
- Iterative Regularization Methods for Nonlinear Ill-Posed Problems (2008) (688)
- A convergence analysis of the Landweber iteration for nonlinear ill-posed problems (1995) (572)
- Convergence rates for Tikhonov regularisation of non-linear ill-posed problems (1989) (522)
- Iterative Solution Methods (2015) (444)
- On convergence rates for the Iteratively regularized Gauss-Newton method (1997) (265)
- Tikhonov regularisation for non-linear ill-posed problems: optimal convergence rates and finite-dimensional approximation (1989) (136)
- An a Posteriori Parameter Choice for Tikhonov Regularization in Hilbert Scales Leading to Optimal Convergence Rates (1988) (102)
- On Converse and Saturation Results for Tikhonov Regularization of Linear Ill-Posed Problems (1997) (93)
- On Landweber iteration for nonlinear ill-posed problems in Hilbert scales (2000) (85)
- Preconditioning Landweber iteration in Hilbert scales (2005) (78)
- On the convergence of the quasioptimality criterion for (iterated) Tikhonov regularization (2008) (73)
- Tikhonov regularization of nonlinear III-posed problems in hilbert scales (1992) (71)
- Finite-dimensional approximation of tikhonov regularized solutions of non-linear ill-posed problems (1990) (62)
- Error Bounds for Approximation with Neural Networks (2001) (60)
- When do Sobolev spaces form a Hilbert scale (1988) (59)
- Tikhonov-regularization of ill-posed linear operator equations on closed convex sets (1988) (51)
- An a posteriori parameter choice for Tikhonov regularization in the presence of modeling error (1988) (51)
- Improved and extended results for enhanced convergence rates of Tikhonov regularization in Banach spaces (2010) (41)
- A Convergence Rate Result for a Steepest Descent Method and a Minimal Error Method for the Solution of Nonlinear Ill-Posed Problems (1995) (40)
- Analysis of Tikhonov regularization for function approximation by neural networks (2003) (38)
- Cumulative wavefront reconstructor for the Shack-Hartmann sensor (2011) (35)
- On Nesterov acceleration for Landweber iteration of linear ill-posed problems (2016) (34)
- Convergence of projected iterative regularization methods for nonlinear problems with smooth solutions (2006) (30)
- An improved version of Marti’s method for solving ill-posed linear integral equations (1985) (29)
- Lamé Parameter Estimation from Static Displacement Field Measurements in the Framework of Nonlinear Inverse Problems (2017) (29)
- Convergence rates of the continuous regularized Gauss—Newton method (2002) (28)
- On enhanced convergence rates for Tikhonov regularization of nonlinear ill-posed problems in Banach spaces (2009) (27)
- Convergence results for the Bayesian inversion theory (2008) (27)
- The convergence of a new heuristic parameter selection criterion for general regularization methods (2008) (25)
- Optimal Discrepancy Principles for the Tikh0n0v Regularization of Integral Equations of the First Kind (1985) (25)
- Regularization with Differential Operators (1996) (24)
- Convergence rates for Tikhonov regularization in finite-dimensional subspaces of Hilbert scales (1988) (22)
- Regularization of ill-posed problems: optimal parameter choice in finite dimensions (1989) (21)
- Regularization for Curve Representations: Uniform Convergence for Discontinuous Solutions of Ill-Posed Problems (1998) (20)
- OPTIMAL PARAMETER CHOICE FOR ORDINARY AND ITERATED TIKHONOV REGULARIZATION (1987) (20)
- A New Gradient Method for Ill-Posed Problems (2018) (13)
- Finite-Dimensional Approximation of Constrained Tikhonov-Regularized Solutions of Ill-Posed Linear Operator Equations (1987) (13)
- Solution of Ill-Posed Problems via Adaptive Grid Regularization: Convergence Analysis (2007) (11)
- A new cumulative wavefront reconstructor for the Shack–Hartmann sensor (2013) (10)
- A parameter choice strategy for (iterated) tikhonov regularization of iii-posed problems leading to superconvergence with optimal rates (1988) (10)
- REGULARIZATION FOR SURFACE REPRESENTATIONS OF DISCONTINUOUS SOLUTIONS OF LINEAR ILL-POSED PROBLEMS (2001) (10)
- Some generalizations for Landweber iteration for nonlinear ill-posed problems in Hilbert scales (2016) (10)
- Tikhonov Regularization of Nonlinear Differential-Algebraic Equations (1990) (10)
- The iterative solution of a nonlinear inverse problem from industry: design of reflectors (1994) (10)
- Reflector Design as an Inverse Problem (1991) (9)
- On the regularization of a class of nontransferable differential-algebraic equations (1988) (9)
- Design of 3D-Reflectors for Near Field and Far Field Problems (1997) (9)
- Estimation of discontinuous solutions of ill-posed problems via adaptive grid regularization (2006) (8)
- Estimation of discontinuous parameters of elliptic partial differential equations by regularization for surface representations (2001) (8)
- A variant of finite-dimensional Tikhonov regularization with a-posteriori parameter choice (1988) (8)
- ESTIMATION OF DISCONTINUOUS SOLUTIONS OF ILL-POSED PROBLEMS BY REGULARIZATION FOR SURFACE REPRESENTATIONS: NUMERICAL REALIZATION VIA MOVING GRIDS (2003) (6)
- ON THE REGULARIZATION OF LINEAR DIFFERENTIAL-ALGEBRAIC EQUATIONS (1987) (6)
- Modified Tikhonov regularization for nonlinear ill-posed problems in Banach spaces (2010) (6)
- A singular value decomposition for the Shack-Hartmann based wavefront reconstruction (2012) (6)
- Parameter Identification by Regularization for Surface Representation via the Moving Grid Approach (2003) (6)
- IDENTIFICATION OF DISCONTINUOUS PARAMETERS BY REGULARIZATION FOR CURVE REPRESENTATIONS (1999) (6)
- Computation of discontinuous solutions of 2D linear ill-posed integral equations via adaptive grid regularization (2007) (6)
- A Singular-Value-Type Decomposition for the Atmospheric Tomography Operator (2017) (5)
- On the parameter estimation problem of magnetic resonance advection imaging (2018) (5)
- On the ill-posedness and convergence of the Shack–Hartmann based wavefront reconstruction (2010) (5)
- Augmented GMRES-type versus CGNE methods for the solution of linear ill-posed problems (2019) (4)
- Iterative Regularization Methods (1996) (4)
- Optimal convergence rates for inexact Newton regularization with CG as inner iteration (2020) (4)
- Simulation results for a finite element-based cumulative reconstructor (2017) (4)
- Minisymposium — Recent progress in regularization theory (2009) (4)
- Enhanced convergence rates for Tikhonov regularization revisited: improved results (2009) (3)
- An a posteriori parameter choice for Tikhonov regularization in Hilbert scales to optimal convergence rates. (1988) (3)
- Ill-Posed Linear Operator Equations (1996) (3)
- Optimal convergence rates for inexact Newton regularization with CG as inner iteration (2022) (2)
- Numerical realization of an optimal discrepancy principle for Tikhonov-regularization in Hilbert scales (1987) (2)
- Identification of a Temperature Dependent Heat Conductivity via Adaptive grid Regularization (2008) (2)
- Continuous Regularization Methods (1996) (2)
- Iterative Methods for Nonlinear Problems (1996) (2)
- Tikhonov Regularization of Nonlinear Problems (1996) (1)
- Convergence rate for the Bayesian inversion theory (2007) (1)
- Ill-posed problems and the conjugate gradient method: Optimal convergence rates in the presence of discretization and modelling errors (2022) (0)
- On the Shack–Hartmann based wavefront reconstruction:Stability and convergence rates of finite-dimensional approximations (2012) (0)
- In celebration of the 60th birthday of Professor Alemdar Hasanoğlu (Hasanov) (2016) (0)
- A NOTE ON OPTIMAL RATES FOR LAVRENTIEV REGULARIZATION WITH ADJOINT SOURCE CONDITIONS∗ (2016) (0)
- 6 Level set methods (2008) (0)
- On Tikhonov-type regularization with approximated penalty terms (2021) (0)
- 6th International Congress on Industrial and Applied Mathematics, ICIAM '07, Zurich, Switzerland, 16-20 July, 2007 (2007) (0)
- A conjugate-gradient approach to the parameter estimation problem of magnetic resonance advection imaging (2018) (0)
- 5 Multilevel methods (2008) (0)
- About Aip Program Committee Organizing Committee (0)
- 3 Modified Landweber methods (2008) (0)
- On the estimation of discontinuous solutions of parameter identification problems (2005) (0)
- 4 Newton type methods (2008) (0)
- ON THE SMOOTHNESS OF SOLUTIONS TO A SPECIAL NEUMANN PROBLEM ON NONSMOOTH DOMAINS (2014) (0)
- Introduction: Examples of Inverse Problems (1996) (0)
- The Conjugate Gradient Method (1996) (0)
- Acknowledgement to Reviewers (2015) (0)
- Linear Operator Equations (2010) (0)
- 2 Nonlinear Landweber iteration (2008) (0)
- A mathematical framework for nonlinear wavefront reconstruction in adaptive optics systems with Fourier-type wavefront sensing (2023) (0)
- DISCONTINUOUS SOLUTIONS OF NONLINEAR MIXED PROBLEMS FOR HYPERBOLIC EQUATIONS ON A PLANE (2017) (0)
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What Schools Are Affiliated With Andreas Neubauer?
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