Veröffentlichungen
Bücher
- B. Hofmann, A. Leitao, J.P. Zubelli (Eds.):
 New Trends in Parameter Identification for Mathematical Models.
 Birkhäuser,Trends in Mathematics,
 Springer International Publishing, Cham, Switzerland 2018,
 ISBN 978-3-319-70823-2, ISBN 978-3-319-70824-9 (eBook)
- T. Schuster, B. Kaltenbacher, B. Hofmann, K.S. Kazimierski:
 Regularization Methods in Banach Spaces.
 Walter de Gruyter GmbH & Co. KG,
 Reihe: Radon Series on Computational and Applied Mathematics 10,
 Berlin/Boston 2012, ISBN 978-3-11-025524-9.
- B. Hofmann:
 Mathematik inverser Probleme.
 B.G. Teubner Stuttgart-Leipzig, Leipzig 1999.
 ISBN 978-3-519-00254-3. Fulltext download
- B. Hofmann:
 Regularization for Applied Inverse and Ill-Posed Problems.
 B.G. Teubner Leipzig, Teubner-Texte zur Mathematik, Bd. 85, Leipzig 1986.
 Reprint Vieweg/Springer 2013 ISBN 978-3-322-93035-4.
 E-Book ISBN 978-3-322-93034-7.
Ausgewählte Publikationen
Siehe auch Veröffentlichungen im Volltext
-  S. Kindermann,  B. Hofmann:
 Operator ordering by ill-posedness in Hilbert and Banach spaces.
 Electronic Transactions on Numerical Analysis 64 (2025), 1-22,
 https://doi.org/10.1553/etna_vol64s1.
-  R. Plato, B. Hofmann: 
 Variational regularization with oversmoothing penalty term in Banach spaces. Chapter 6 in
 Inverse Problems, Regularization Methods and Related Topics - A Volume in Honour of Thamban Nair
 (Eds.: S.V. Pereverzyev, R. Radha, S. Sivananthan), Springer Nature, Singapore, 2025, pp.~95--115,
 https://link.springer.com/chapter/10.1007/978-981-97-7989-5_6.
-  P. Mathé, B. Hofmann: 
 Comparing the ill-posedness for linear operators in Hilbert spaces.
 Advances in Operator Theory 10 (2025), Article 36,
 https://doi.org/10.1007/s43036-025-00422-4.
-  Y. Deng, H.-J. Fischer, B. Hofmann: 
 The degree of ill-posedness for some composition governed by the Cesaro operator. Chapter 1 in
 Inverse Problems on Large Scales - Mathematical Modelling and Computational Methods
 (Eds.: B. Mejri, R. Ramlau and O. Scherzer) , Volume 32 of Radon Series on Comp. and Appl. Math.,
 Walter de Gruyter, Berlin/Boston, 2025, pp.~1--14,
 https://doi.org/10.1515/9783111357270-001.
-  F. Werner, B. Hofmann: 
 A unified concept of the degree of ill-posedness for compact and non-compact linear operator equations
 in Hilbert spaces under the auspices of the spectral theorem.
 Numerical Functional Analysis and Optimization 46 (2025), Number 4-5, 322-347,
 https://doi.org/10.1080/01630563.2025.2451922.
-  Y. Deng: 
 A new facet of a decreasing rearrangement approach to solving a class of Urysohn integral equations.
 Numerical Functional Analysis and Optimization 46 (2025), Number 4-5, 311-321,
 https://doi.org/10.1080/01630563.2024.2448012.
-  P. Mathé, B. Hofmann: 
 Tractability of linear ill-posed problems in Hilbert space.
 Journal of Complexity 84 (2024), 101867,
 https://doi.org/10.1016/j.jco.2024.101867.
-  S. Kindermann, B. Hofmann: 
 Curious ill-posedness phenomena in the composition of non-compact linear operators in Hilbert spaces.
 Journal Inverse and Ill-Posed Problems 24 (2024), Number 5, 1001-1013,
 https://doi.org/10.1515/jiip-2024-0007.
-  B. Hofmann, H.-J. Fischer: 
 A note on the degree of ill-posedness for mixed differentiation on the d-dimensional unit cube.
 Journal Inverse and Ill-Posed Problems 23 (2023), Number 6, 949-957,
 DOI: 10.1515/jiip-2023-0025.
-  O. Scherzer, B. Hofmann, Z. Nashed: 
 Gauss-Newton method for solving linear inverse problems with neural network coders.
 Sampling theory, signal processing, and data analysis 21 (2023), Number 2, Article 25,
 DOI: 10.1007/s43670-023-00066-6.
-  B. Hofmann, F. Werner, Y. Deng: 
 On uniqueness and ill-posedness for the deautoconvolution problem in the multi-dimensional case.
 Inverse Problems 39 (2023), Number 6, 065012 (15pp),
 DOI: 10.1088/1361-6420/acd07b.
-  B. Hofmann, C. Klinkhammer, R. Plato: 
 New results for variational regularization with oversmoothing penalty term in Banach spaces.
 Communications on Analysis and Computation 1, Issue 2 (2023), 94-115,
 DOI: 10.3934/cac.2023006.
-  Y. Deng,  B. Hofmann, F. Werner:
 Deautoconvolution in the two-dimensional case.
 Electronic Transactions on Numerical Analysis 59 (2023), 24-42,
 DOI: 10.1553/etna vol59s24.
-  B. Hofmann, P. Mathé: 
 The degree of ill-posedness of composite linear ill-posed problems with focus on the impact
 of the non-compact Hausdorff moment operator.
 Electronic Transactions on Numerical Analysis 57 (2022), 1-16.
 DOI: 10.1553/etna vol57s1.
- B. Hofmann, C. Hofmann, P. Mathé, R. Plato:
 Nonlinear Tikhonov regularization in Hilbert scales with oversmoothing penalty: inspecting balancing principles.
 Chapter 4 in: Deterministic and Stochastic Optimal Control and Inverse Problems (Eds.: B. Jadamba, A. A. Khan,
 S. Migorski, M. Sama). CRC Press (Taylor & Francis Group), Boca Raton 2022, pp. 79-111.
 ISBN 978-0-367-50630-8 (hbk), ISBN 978-0-367-50631-5 (pbk), ISBN 978-1-003-05057-5 (ebk),
 DOI: 10.1201/9781003050575.
-  P. Mathé, M.T. Nair, B. Hofmann: 
 Regularization of linear ill-posed problems involving multiplication operators.
 Applicable Analysis 101, Issue 2 (2022), 714-732,
 DOI: 10.1080/00036811.2020.1758308.
- D. Gerth, B. Hofmann:
 A note on open questions asked to analysis and numerics concerning the Hausdorff moment problem.
 Eurasian Journal of Mathematical and Computer Applications 10, Issue 1 (2022), 40-50.
- D. Chen, B. Hofmann, I. Yousept:
 Oversmoothing Tikhonov regularization in Banach spaces.
 Inverse Problems 37 (2021), 085007 (28pp).
- D. Gerth, B. Hofmann, C. Hofmann, S. Kindermann:
 The Hausdorff moment problem in the light of ill-posedness of type I.
 Eurasian Journal of Mathematical and Computer Applications 9, Issue 2 (2021), 57-87.
- Y. Zhang, B. Hofmann:
 Two new non-negativity preserving iterative regularization methods for ill-posed inverse problems.
 Inverse Problems and Imaging 15 (2021), 229-256.
- B. Hofmann, R.Plato:
 Convergence results and low order rates for nonlinear Tikhonov regularization with oversmoothing penalty term.
 Electronic Transactions on Numerical Analysis 53 (2020), 313-328.
- F. Werner, B. Hofmann:
 Convergence analysis of (statistical) inverse problems under conditional stability estimates.
 Inverse Problems 36 (2020), 015004 (23pp).
- Y. Zhang, B. Hofmann:
 On the second-order asymptotical regularization of linear ill-posed problems.
 Applicable Analysis 99 (2020), 1000-1025.
- B. Hofmann, C. Hofmann:
 The impact of the discrepancy principle on the Tikhonov-regularized solutions with oversmoothing penalties.
 Mathematics (www.mdpi.com) 8 (2020), 331 (16pp).
- B. Hofmann, P. Mathé:
 A priori parameter choice in Tikhonov regularization with oversmoothing penalty for non-linear ill-posed problems.
 Chapter 8 in: Inverse Problems and Related Topics: Shanghai, China, October 12-14, 2018
 (Eds.: J. Cheng, S. Lu, M. Yamamoto). Book 310 of Springer Proceedings in Mathematics & Statistics. Springer Nature, Singapore 2020 (ISBN 978-981-15-1591-0. ISBN 978-981-15-1592-7 (eBook)), pp. 169-176.
- D. Gerth, B. Hofmann, C. Hofmann:
 Case studies and a pitfall for nonlinear variational regularization under conditional stability.
 Chapter 9 in: Inverse Problems and Related Topics: Shanghai, China, October 12-14, 2018
 (Eds.: J. Cheng, S. Lu, M. Yamamoto). Book 310 of Springer Proceedings in Mathematics & Statistics. Springer Nature, Singapore 2020 (ISBN 978-981-15-1591-0. ISBN 978-981-15-1592-7 (eBook)), pp. 177-203.
- R. Gong, B. Hofmann, Y. Zhang:
 A new class of accelerated regularization methods, with application to bioluminescence tomography.
 Inverse Problems 36 (2020), 055013 (36pp).
- R. Ramlau, C. Koutschan, B. Hofmann:
 On the singular value decomposition of n-fold integration operators.
 Chapter 11 in: Inverse Problems and Related Topics: Shanghai, China, October 12-14, 2018
 (Eds.: J. Cheng, S. Lu, M. Yamamoto). Book 310 of Springer Proceedings in Mathematics & Statistics. Springer Nature, Singapore 2020 (ISBN 978-981-15-1591-0. ISBN 978-981-15-1592-7 (eBook)), pp. 237-256.
- Y. Zhang, B. Hofmann:
 On Fractional asymptotical regularization of linear ill-posed problems in Hilbert spaces.
 Fractional Calculus and Applied Analysis 22 (2019), 699-721.
- E. Escoto, D. Gerth, B. Hofmann, G. Steinmeyer:
 Strategies for the characterization of partially coherent ultrashort pulses with dispersion scan.
 Journal of the Optical Society of America B 36 (2019), 2092-2098.
- R. Plato, B. Hofmann:
 A regularized variational inequality approach for nonlinear monotone ill-posed problems.
 Journal of Optimization Theory 182 (2019), 525-539.
- W. Wang, S. Lu, B. Hofmann, J. Cheng:
 Tikhonov regularization with l0-term complementing a convex penalty: l1-convergence under sparsity constraints.
 Journal of Inverse and Ill-posed Problems 27 (2019), 575-590.
- D. Gerth, B. Hofmann:
 Oversmoothing regularization with l1-penalty term.
 AIMS Mathematics 4 (2019), 1223-1247.
- C. Hofmann, B. Hofmann, A. Pichler:
 Simultaneous identification of volatility and interest rate functions -- a two parameter regularization approach.
 Electronic Transactions on Numerical Analysis 51 (2019), 99-117.
- M. Hinze, B. Hofmann, Tran Nhan Tam Quyen:
 A regularization approach for an inverse source problem in elliüptic systems from single Cauchy data.
 Numerical Functional Analysis and Optimization 40 (2019), 1080-1112.
- B. Hofmann, S. Kindermann, P. Mathé:
 Penalty-based smoothness conditions in convex variational regularization.
 Journal of Inverse and Ill-posed Problems 27 (2019), 283-300.
- D. Gerth, E. Escoto, G. Steinmeyer, B. Hofmann:
 Regularized differential evolution for a blind phase retrieval problem in ultrashort laser pulse characteriztaion.
 Review of Scientific Instruments 90 (2019), 043116.
- H. Egger, B. Hofmann:
 Tikhonov regularization in Hilbert scales under conditional stability assumptions.
 Inverse Problems 34 (2018),115015 (17pp).
- B. Hofmann, R. Plato:
 On ill-posedness concepts, stable solvability and saturation
 Journal of Inverse and Ill-posed Problems 26 (2018), 287-297.
- D. Chen, B. Hofmann, J. Zou:
 Regularization and convergence for ill-posed backward evolution equations in Banach spaces.
 J. Differential Equations 265 (2018), 3533-3566.
- J. Flemming, D. Gerth:
 Injectivity and weak*-to-weak continuity suffice for convergence rates in l^1-regularization.
 Journal of Inverse and Ill-posed Problems 26 (2018), 85-94.
- R. Plato, P. Mathé, B. Hofmann:
 Optimal rates for Lavrentiev regularization with adjoint source conditions.
 Mathematics of Computation 87 (2018), 785-801.
- B. Hofmann, P. Mathé:
 Tikhonov regularization with oversmoothing penalty for non-linear ill-posed problems in Hilbert scales.
 Inverse Problems 34 (2018), 015007 (14pp).
- D. Gerth:
 Convergence rates for l1-regularization without the help of a variational inequality.
 Electronic Transactions on Numerical Analysis 47 (2017), 233-244.
- D. Gerth, A. Hofinger, R. Ramlau:
 On the lifting of deterministic convergence rates for inverse problems with stochastic noise.
 Inverse Problems and Imaging 11 (2017), 663 - 687.
- S. Bürger, P. Mathé:
 Discretized Lavrent'ev regularization for the autoconvolution equation.
 Applicable Analysis 96 (2017), 1618-1637.
- D. Chen, B. Hofmann, J. Zou:
 Elastic-net regularization versus l1-regularization for linear inverse problems with quasi-sparse solutions.
 Inverse Problems 33 (2017), 015004 (17pp).
- R. Bot, B. Hofmann:
 Conditional stability versus ill-posedness for operator equations with monotone operators in Hilbert space.
 Inverse Problems 32 (2016), 125003 (23pp).
- B. Hofmann, B. Kaltenbacher, E. Resmerita:
 Lavrentiev's regularization method in Hilbert spaces revisited.
 Inverse Problems and Imaging 10 (2016), 741-764.
- S. Bürger, J. Flemming, B. Hofmann:
 On complex-valued deautoconvolution of compactly supported functions with sparse Fourier representation.
 Inverse Problems 32 (2016), 104006 (12pp).
- J. Flemming:
 Convergence rates for l1-regularization without injectivity-type assumptions.
 Inverse Problems 32 (2016), 095001 (19pp).
- J. Flemming, B. Hofmann, I. Veselic:
 A unified approach to convergence rates for l1-regularization and lacking sparsity.
 Journal of Inverse and Ill-posed Problems 24 (2016), 139-148.
- S.W. Anzengruber, S. Bürger, B. Hofmann, G.Steinmeyer:
 Variational regularization of complex deautoconvolution and phase retrieval in ultrashort laser pulse characterization.
 Inverse Problems 32, No.3 (2016), 035002 (27pp).
- J. Flemming, B. Hofmann, I. Veselic:
 On l1- regularization in light of Nashed's ill-posedness concept.
 Computational Methods in Applied Mathematics 15 (2015), 279-289.
- S. Bürger, J. Flemming:
 Deautoconvolution: A new decomposition approach versus TIGRA and local regularization.
 Journal of Inverse and Ill-posed Problems 23 (2015), 231-243.
- B. Hofmann:
 On smoothness concepts in regularization for nonlinear inverse problems in Banach spaces.
 Chapter~8 in Mathematical and Computational Modeling: With Applications in Natural and Social Sciences,
 Engineering, and the Arts (Ed.: R.~Melnik).
 John Wiley, New Jersey 2015, pp.~192--221. ISBN 978-1-118-85398-6.
- S. Birkholz, G. Steinmeyer, S. Koke, D. Gerth, S. Bürger, B. Hofmann:
 Phase retrieval via regularization in self-diffraction-based spectral interferometry.
 Journal of the Optical Society of America B 32, No.5 (2015), 983-992.
- S. Bürger, B. Hofmann:
 About a deficit in low-order convergence rates on the example of autoconvolution.
 Applicable Analysis 94, No.3 (2015), 477-493.
- S.W. Anzengruber, B. Hofmann, P. Mathé:
 Regularization properties of the sequential discrepancy principle for Tikhonov regularization in Banach spaces.
 Applicable Analysis 93, No.7 (2014), 1382-1499.
- J. Cheng, B. Hofmann, S. Lu:
 The index function and Tikhonov regularization for ill-posed problems.
 Journal of Computational and Applied Mathematics 265 (2014), 110-119.
- D. Gerth, B. Hofmann, S. Birkholz, S. Koke, G. Steinmeyer:
 Regularization of an autoconvolution problem in ultrashort laser pulse characterization.
 Inverse Problems in Science and Engineering 22, No.2 (2014), 245-266.
- J. Flemming:
 Regularization of autoconvolution and other ill-posed quadratic equations by decomposition.
 Journal of Inverse and Ill-posed Problems 22 (2014), 551-567.
- S.W. Anzengruber, B. Hofmann, R.Ramlau:
 On the interplay of basis smoothness and specific range conditions occurring in sparsity regularization.
 Inverse Problems 29 (2013), 125002 (21pp).
- U.Tautenhahn, U.Hämarik, B. Hofmann, Y.Shao:
 Conditional stability estimates for ill-posed PDE problems by using interpolation.
 Numerical Functional Analysis and Optimization 34 (2013), 1370-1417.
- M. Burger, J. Flemming, B.Hofmann:
 Convergence rates in l1-regularization if the sparsity assumption fails.
 Inverse Problems 29 (2013), 025013 (16pp).
- R. Bot, B. Hofmann:
 The impact of a curious type of smoothness conditions on convergence rates in l1-regularization.
 Eurasian Journal of Mathematical and Computer Applications 1, No.1 (2013), 29-40.
- R. Bot, B. Hofmann, P. Mathé:
 Regularizability of ill-posed problems and the modulus of continuity.
 Zeitschrift f. Analysis und ihre Anwendungen 32, No.3 (2013), 299-312.
- J. Flemming:
 Variational smoothness assumptions in convergence rate theory - an overview.
 Journal of Inverse and Ill-posed Problems 21 (2013), 395-409.
- S. Lu, J. Flemming:
 Convergence rate analysis of Tikhonov regularization for nonlinear ill-posed problems with noisy operators.
 Inverse Problems 28 (2012), 104003 (20 pp).
- J. Flemming:
 Solution smoothness of ill-posed equations in Hilbert spaces: four concepts and their cross connections.
 Applicable Analysis 91 (2012), 1029-1044.
- B. Hofmann, P. Mathé:
 Parameter choice in Banach space regularization under variational inequalities.
 Inverse Problems 28 (2012), 104006 (17pp).
- B. Hofmann, P. Mathé:
 A note on the modulus of continuity for ill-posed problems in Hilbert space.
 Trudy Inst. Mat. i Mekh. UrO RAN 18, No.1 (2012), 34-41.
- J. Flemming, B.Hofmann:
 Convergence rates in constrained Tikhonov regularization: equivalence of projected source conditions and variational inequalities.
 Inverse Problems 27 (2011), 085001 (11pp).
- M. Hegland, B. Hofmann:
 Errors of regularisation under range inclusions using variable Hilbert scales.
 Inverse Problems and Imaging 5 (2011), 619-643.
- J. Flemming, B.Hofmann, P.Mathé:
 Sharp converse results for the regularization error using distance functions.
 Inverse Problems 27 (2011), 025006 (18pp).
- J. Flemming:
 Theory and examples of variational regularization with non-metric fitting functionals.
 Journal of Inverse and Ill-posed Problems 18 (2010), 677-699.
- B. Hofmann, S. Kindermann:
 On the degree of ill-posedness for linear problems with non-compact operators.
 Methods and Applications of Analysis 17 (2010), 445-461.
- R.I.Bot, B.Hofmann:
 An extension of the variational approach for obtaining convergence rates in regularization of nonlinear ill-posed problems.
 Journal of Integral Equations and Applications 22 (2010), 369-392.
- B.Hofmann, M.Yamamoto:
 On the interplay of source conditions and variational inequalities for nonlinear ill-posed problems.
 Applicable Analysis 89 (2010), 1705-1727.
- A.Neubauer, T.Hein, B.Hofmann, S.Kindermann, U.Tautenhahn:
 Improved and extended results for enhanced convergence rates of Tikhonov regularization in Banach spaces.
 Applicable Analysis 89 (2010), 1729-1743.
- J. Flemming, B.Hofmann:
 A new approach to source conditions in regularization with general residual term.
 Numer. Funct. Anal. Optimiz. 31 (2010), 254-284.
- S.V. Pereverzev, B.Hofmann:
 Estimation of linear functionals from indirect noisy data without knowledge of the noise level.
 GEM - International Journal on Geomathematics 1 (2010), 121-131.
- B. Kaltenbacher, B.Hofmann:
 Convergence rates for the iteratively regularized Gauss-Newton method in Banach spaces.
 Inverse Problems 26 (2010), 035007 (21pp).
- B.Hofmann, P.Mathé, H.von Weizsäcker:
 Regularization in Hilbert space under unbounded operators and general source conditions.
 Inverse Problems 25 (2009), 115013 (15pp).
- T.Hein, B.Hofmann:
 Approximate source conditions for nonlinear ill-posed problems -- chances and limitations.
 Inverse Problems 25 (2009), 035003 (16pp).
- B.Hofmann, L.von Wolfersdorf:
 A new result on the singular value asymptotics of integration operators with weights.
 Journal of Integral Equations and Applications 21 (2009), 281-295.
- B.Hofmann, P.Mathé, M.Schieck:
 Modulus of continuity for conditionally stable ill-posed problems in Hilbert space.
 J. Inv. Ill-posed Problems 16 (2008), 567-585.
- P.Mathé, B.Hofmann:
 How general are general source conditions?
 Inverse Problems 24 (2008), 015009 (5pp).
- P.Mathé, B.Hofmann:
 Direct and inverse results in variable Hilbert scales.
 Journal of Approximation Theory 154 (2008), 77-89.
- L. von Wolfersdorf, B.Hofmann:
 A specific inverse problem for the Volterra convolution equation.
 Applicable Analysis 87 (2008), 59-81.
- B.Hofmann, P.Mathé, S.V.Pereverzev:
 Regularization by projection: Approximation theoretic aspects and distance functions.
 J. Inverse and Ill-Posed Problems 15 (2007), 527-545.
- B. Hofmann, P.Mathé:
 Analysis of profile functions for general linear regularization methods
 SIAM J. Numer. Anal. 45 (2007), 1122-1141.
- B. Hofmann, B. Kaltenbacher, C. Pöschl, O. Scherzer:
 A convergence rates result in Banach spaces with non-smooth operators
 Inverse Problems 23 (2007), 987-1010.
- B. Hofmann, M. Schieck, L. von Wolfersdorf:
 On the analysis of distance functions for linear ill-posed problems with an application to the integration operator in L^2
 J. Inv. Ill-Posed Problems 15 (2007), 83-98.
- D. Düvelmeyer, B. Hofmann, M. Yamamoto:
 Range inclusions and approximate source conditions with general benchmark functions
 Numerical Functional Analysis and Optimization 28 (2007), 1245-1261.
- T. Hein, B. Hofmann, A. Meyer, P.Steinhorst:
 Numerical analysis of a calibration problem for simulating electric fault arc tests
 Inverse Problems in Science and Engineering 15 (2007), 679-698.
- D. Düvelmeyer, B. Hofmann:
 A multi-parameter regularization approach for estimating parameters in jump diffusion processes
 J. Inv. Ill-Posed Problems 14 (2006), 861-880.
- B. Hofmann:
 Approximate source conditions in Tikhonov-Phillips regularization and consequences for inverse problems with multiplication operators
 Mathematical Methods in the Applied Sciences 29 (2006), 351-371.
- A. Böttcher, B. Hofmann, U. Tautenhahn, M. Yamamoto:
 Convergence rates for Tikhonov regularization from different kinds of smoothness conditions
 Applicable Analysis 85 (2006), 555-578.
- H. Egger, T. Hein, B. Hofmann:
 On decoupling of volatility smile and term structure in inverse option pricing
 Inverse Problems 22 (2006), 1247-1259.
- B. Hofmann, D. Düvelmeyer, K. Krumbiegel:
 Approximate source conditions in Tikhonov regularization - new analytical results and some numerical studies
 Mathematical Modelling and Analysis 11 (2006), 41-56.
- B. Hofmann, L. von Wolfersdorf:
 On the determination of a density function by its autoconvolution coefficient
 Numerical Functional Analysis and Optimization 27 (2006), 357-375.
- B. Hofmann, M. Yamamoto:
 Convergence rates for Tikhonov regularization based on range inclusions
 Inverse Problems 21 (2005), 850-820.
- M. Freitag, B. Hofmann:
 Analytical and numerical studies on the influence of multiplication operators for the ill-posedness of inverse problems
 J. Inverse and Ill-Posed Problems 13 (2005), 123-148.
- B. Hofmann, R. Krämer:
 On maximum entropy regularization for a specific inverse problem of option pricing
 J. Inverse and Ill-Posed Problems 13 (2005), 41-63.
- B. Hofmann, L. v. Wolfersdorf:
 Some results and a conjecture on the degree of ill-posedness for integration operators with weights
 Inverse Problems 21 (2005), 427-433.
- P. Steinhorst, B. Hofmann, A. Meyer, W. Weinelt:
 Gas temperature identification for the simulation of electric fault arc tests
 Proceedings of 5th International Conference on Inverse Problems in Engineering: Theory and Practice, Cambridge July 2005, Volume III (Ed.: D. Lesnic), Leeds University Press, Leeds UK 2005, S12/1-8.
- D. Düvelmeyer, B. Hofmann:
 Ill-posedness of parameter estimation in jump diffusion processes
 Tagungsband zum Workshop Stochastische Analysis
 Bärenstein 2004 (Hrsg.: J. vom Scheidt), TU Chemnitz, 5-20.
- T. Hein, B. Hofmann:
 On the nature of ill-posedness of an inverse problem arising in option pricing
 Inverse Problems 19 (2003), 1319-1338.
- B. Hofmann, F. Thießen, V. Weber, R. Wunderlich:
 Vermögensaufteilung für die Altersvorsorge: Wie fundiert sind langfristige Allokationsregeln?
 Zeitschrift für Bankrecht und Bankwirtschaft (ZBB) 15 (2003), 261-276.
- S. Pohl, B. Hofmann, R. Neubert, T. Otto, C. Radehaus:
 A regularization approach for the determination of remission curves.
 Inverse Problems in Engineering 9 (2001), 157-174.
- B. Hofmann, G. Fleischer:
 Stability rates for linear ill-posed problems with compact and non-compact operators.
 Z. Anal. Anwendungen 18 (1999), 267-286.
- B. Hofmann, O. Scherzer:
 Local ill-posedness and source conditions of operator equations in Hilbert spaces.
 Inverse Problems 14 (1998), 1189-1206.
- B. Hofmann, U. Tautenhahn:
 On ill-posedness measures and space change in Sobolev scales.
 Z. Anal. Anwendungen 16 (1997), 979-1000.
- B. Hofmann:
 On the degree of ill-posedness for nonlinear problems.
 J. Inv. Ill-Posed Problems 2 (1994), 61-76.