B. Hofmann

B. Hofmann, G. Steinmeyer, D. Gerth, 2019, 2019 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC).

Gauging pulse train instability and coherent artifacts with dispersion scan

B. Hofmann, G. Steinmeyer, D. Gerth, 2018 .

Approximation of the inverse electrical impedance tomography problem by an inverse transmission problem

B. Hofmann, 1998 .

Numerical Studies of Recovery Chances for a Simplified EIT Problem

B. Hofmann, R. Unger, Christopher Hofmann, 2018 .

Stability rates for linear ill-posed problems with compact and non-compact operators.

B. Hofmann, G. Fleischer, 1999 .

Enhanced convergence rates for Tikhonov regularization revisited: improved results

A. Neubauer, B. Hofmann, T. Hein, 2009 .

Simultaneous identification of volatility and interest rate functions-a two-parameter regularization approach

B. Hofmann, A. Pichler, Christopher Hofmann, 2019, ETNA - Electronic Transactions on Numerical Analysis.

Deautoconvolution in the two-dimensional case

B. Hofmann, Frank Werner, Yu Deng, 2022, ETNA - Electronic Transactions on Numerical Analysis.

Variational regularization with oversmoothing penalty term in Banach spaces

B. Hofmann, R. Plato, 2022, ArXiv.

On the nature of ill-posedness of an inverse problem arising in option pricing

B. Hofmann, T. Hein, 2003 .

A Regularization Approach for an Inverse Source Problem in Elliptic Systems from Single Cauchy Data

Tran Nhan Tam Quyen, B. Hofmann, M. Hinze, 2017, Numerical Functional Analysis and Optimization.

Low-Frequency-Stabilized Electric Field Integral Equation on Topologically Non-Trivial Geometries for Arbitrary Excitations

B. Hofmann, T. Eibert, F. Andriulli, 2022, 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/URSI).

Efficient Combination of Scalar-Potential Representations of Solenoidal Functions and Quasi-Helmholtz Projectors

B. Hofmann, T. Eibert, F. Andriulli, 2022, 2022 16th European Conference on Antennas and Propagation (EuCAP).

On uniqueness and ill-posedness for the deautoconvolution problem in the multi-dimensional case

B. Hofmann, Frank Werner, Yu Deng, 2022, ArXiv.

On ill-posedness concepts, stable solvability and saturation

Bernd Hofmann, Robert Plato, B. Hofmann, 2017, 1709.01109.

A study of regularization by monotonicity

C. Gellrich, B. Hofmann, B. Hofmann, 1993, Computing.

The potential for ill-posedness of multiplication operators occurring in inverse problems

B. Hofmann, 2005 .

Ill-posedness and local ill-posedness concepts in hilbert spaces

B. Hofmann, 2000 .

Local ill-posedness and source conditions of operator equations in Hilbert spaces

Otmar Scherzer, Bernd Hofmann, O. Scherzer, 1998 .

The Hausdorff Moment Problem in the light of ill-posedness of type I

B. Hofmann, S. Kindermann, D. Gerth, 2021, Eurasian Journal of Mathematical and Computer Applications.

Open questions asked to analysis and numerics concerning the Hausdorff moment problem

B. Hofmann, D. Gerth, 2022, Eurasian Journal of Mathematical and Computer Applications.

On the Degree of Ill-posedness for Linear Problems with Noncompact Operators

Stefan Kindermann, Bernd Hofmann, B. Hofmann, 2010 .

A new result in the singular value asymptotics of integration operators with weights

B. Hofmann, L. Wolfersdorf, 2009 .

New results on the degree of ill-posedness for integration operators with weights

B. Hofmann, L. Wolfersdorf, 2008 .

Numerical analysis of a calibration problem for simulating electric fault arc tests

B. Hofmann, A. Meyer, T. Hein, 2007 .

Convergence rates for Tikhonov regularization from different kinds of smoothness conditions

Bernd Hofmann, Ulrich Tautenhahn, Albrecht Böttcher, 2006 .

Some results and a conjecture on the degree of ill-posedness for integration operators with weights

B. Hofmann, L. von Wolfersdorf, 2005 .

Regularization of a Volterra integral equation by linear inequalities

Ralf Wolke, Bernd Hofmann, R. Hausding, 1990, Computing.

A regularization approach for the determination of remission curves

Bernd Hofmann, B. Hofmann, C. Radehaus, 2001 .

On the Solution of an Ill-Posed Non-Linear Fredholm Integral Equation Connected with an Inverse Problem of Thin Film Optics

B. Hofmann, H. Schachtzabel, H. Braunss, 1993 .

On the Data Error Influence in Determining a Specific Response Function

B. Hofmann, R. Hausding, 1992 .

On minimizing the conditional entropy for some problems of optimal diagnosis

B. Hofmann, 1992 .

On a class of ill-posed non-linear integral equations arising in the interpretation of indirect measurements

B. Hofmann, 1991 .

An Improved Multi-Parameter Adjustment Algorithm for Inverse Eigenvalue Problems

B. Hofmann, 1988 .

A Two-Grid-Approach to Identification and Control Problems for Partial Differential Equations

B. Hofmann, V. Friedrich, 1987 .

Optimization aspects of the generalized discrepancy principle in regularization

B. Hofmann, B. Hofmann, 1986 .

On regularization and discretization control for the numerical solution of inverse problems in parabolic equations

B. Hofmann, V. Friedrich, 1986 .

Regularization of Deterministic Discretized Inverse Problems

Bernd Hofmann, B. Hofmann, 1986 .

Optimal rates for Lavrentiev regularization with adjoint source conditions

Bernd Hofmann, Peter Mathé, Robert Plato, 2017, Math. Comput..

Conditional stability versus ill-posedness for operator equations with monotone operators in Hilbert space

B. Hofmann, R. Boț, 2016, 1607.05737.

Elastic-net regularization versus ℓ1-regularization for linear inverse problems with quasi-sparse solutions

Jun Zou, De-Han Chen, Bernd Hofmann, 2016, 1604.03364.

An extension of the variational inequality approach for obtaining convergence rates in regularization of nonlinear ill-posed problems

Bernd Hofmann, Radu Ioan Boţ, B. Hofmann, 2010 .

Errors of regularisation under range inclusions using variable Hilbert scales

B. Hofmann, M. Hegland, 2010, 1005.3883.

How general are general source conditions?

Bernd Hofmann, Peter Mathé, B. Hofmann, 2008 .

Modulus of continuity for conditionally stable ill-posed problems in Hilbert space

Bernd Hofmann, Peter Mathé, B. Hofmann, 2008 .

Factors influencing the ill-posedness of nonlinear problems

Otmar Scherzer, Bernd Hofmann, O. Scherzer, 1994 .

On the degree of ill-posedness for nonlinear problems

B. Hofmann, B. HOFMANN, 1994 .

Regularization Methods in Banach Spaces

Barbara Kaltenbacher, Thomas Schuster, Bernd Hofmann, 2012, Radon Series on Computational and Applied Mathematics.

Tikhonov regularization in Hilbert scales under conditional stability assumptions

B. Hofmann, H. Egger, 2018, Inverse Problems.

A Convergence Rates Result in Banach Spaces with Non-Smooth Operators

Barbara Kaltenbacher, Otmar Scherzer, Bernd Hofmann, 2006 .

On Ill-Posedness Measures and Space Change in Sobolev Scales

B. Hofmann, U. Tautenhahn, 1997 .

Uniqueness of monotone solutions to a non-linear Fredholm integral equation

B. Hofmann, H. Schachtzabel, 1991 .

Beck, J. V.; Blackwell, B.; St. Clair, C. R., jr., Inverse Heat Conduction. Ill-Posed Problems. New York etc., J. Wiley & Sons 1985. XVII, 308 S., £ 46.00. ISBN 0-471-08319-4

B. Hofmann, B. Hofmann, B. Heinrich, 1987 .

Newton's methods for solving linear inverse problems with neural network coders

O. Scherzer, B. Hofmann, Z. Nashed, 2023, 2303.14058.

Regularization of linear ill-posed problems involving multiplication operators

B. Hofmann, P. Mathé, M. Nair, 2019, Applicable Analysis.

Oversmoothing Tikhonov regularization in Banach spaces

B. Hofmann, I. Yousept, De-Han Chen, 2020, Inverse Problems.

Case Studies and a Pitfall for Nonlinear Variational Regularization Under Conditional Stability

Bernd Hofmann, Daniel Gerth, Christopher Hofmann, 2018, 1905.11682.

On the Determination of a Density Function by Its Autoconvolution Coefficient

B. Hofmann, L. von Wolfersdorf, 2006 .

An Excitation-Aware and Self-Adaptive Frequency Normalization for Low-Frequency Stabilized Electric Field Integral Equation Formulations

B. Hofmann, T. Eibert, F. Andriulli, 2023, IEEE Transactions on Antennas and Propagation.

Stability Rates for Linear Ill-Posed Problems with Convolution and Multiplication Operators

B. Hofmann, G. Fleischer, 1998 .

GAS TEMPERATURE IDENTIFICATION FOR THE SIMULATION OF ELECTRIC FAULT ARC TESTS

B. Hofmann, A. Meyer, P. Steinhorst, 2005 .

Regularization and convergence for ill-posed backward evolution equations in Banach spaces

B. Hofmann, J. Zou, De-Han Chen, 2018, Journal of Differential Equations.

A denseness theorem with an application to a two-dimensional inverse potential refraction problem

B. Hofmann, 1999 .

A new class of accelerated regularization methods, with application to bioluminescence tomography

Rongfang Gong, Ye Zhang, B. Hofmann, 2019, Inverse Problems.

Strategies for the characterization of partially coherent ultrashort pulses with dispersion scan

Günter Steinmeyer, Daniel Gerth, Bernd Hofmann, 2019, Journal of the Optical Society of America B.

Tikhonov regularization with ℓ0-term complementing a~convex penalty: ℓ1-convergence under sparsity constraints

B. Hofmann, Shuai Lu, Jin Cheng, 2018, Journal of Inverse and Ill-posed Problems.

A specific inverse problem for the Volterra convolution equation

B. Hofmann, L. von Wolfersdorf, 2008 .

Estimation of linear functionals from indirect noisy data without knowledge of the noise level

Sergei V. Pereverzev, Bernd Hofmann, B. Hofmann, 2010 .

About Aip Program Committee Organizing Committee

M. Bertero, H. Engl, A. Neubauer, 2022 .

A control algorithm for a multiparameter regularization process

B. Hofmann, 1990 .

A multi-parameter regularization approach for estimating parameters in jump diffusion processes

Bernd Hofmann, Dana Düvelmeyer, B. Hofmann, 2006 .

Lavrentiev's regularization method in Hilbert spaces revisited

B. Hofmann, E. Resmerita, B. Kaltenbacher, 2015, 1506.01803.

Investigations on the Low-Frequency Stability of Inverse Surface Source Field Transformations Based on the Electric Field Integral Operator

B. Hofmann, T. Eibert, F. Andriulli, 2023, 2023 17th European Conference on Antennas and Propagation (EuCAP).

Some aspects of parameter identification in a mean reverting financial asset model with time-dependent volatility

M. Richter, R. Krämer, B. Hofmann, 2009, Int. J. Comput. Math..

On the quasi-sohition of overdetermined til-conditioned systems of linear equations and its realization by means of parametric linear programming

B. Hofmann, R. Tichatschke, 1980 .

Parameter estimation in a generalized bivariate Ornstein-Uhlenbeck model

B. Hofmann, R. Krämer, M. Richter, 2005 .

Gauss–Newton method for solving linear inverse problems with neural network coders

O. Scherzer, B. Hofmann, Z. Nashed, 2023, Sampling Theory, Signal Processing, and Data Analysis.

A note on the degree of ill-posedness for mixed differentiation on the d-dimensional unit cube

B. Hofmann, Hans-Jürgen Fischer, 2023, Journal of Inverse and Ill-posed Problems.

N A ] 1 4 Ju l 2 01 9 ON FRACTIONAL ASYMPTOTICAL REGULARIZATION OF LINEAR ILL-POSED PROBLEMS IN HILBERT SPACES

B. Hofmann, Ye Zhang, 2019 .

A Regularized Variational Inequality Approach for Nonlinear Monotone Ill-Posed Equations

Bernd Hofmann, Robert Plato, B. Hofmann, 2019, J. Optim. Theory Appl..

A Regularized Variational Inequality Approach for Nonlinear Monotone Ill-Posed Equations

B. Hofmann, R. Plato, 2019, Journal of Optimization Theory and Applications.