Ausgewählte Publikationen - Selected papers (full text papers)

• 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).
• 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.
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