List of papers, available online

Links are to respective items in Mathematical Reviews .

• Bernd Hofmann, Peter Mathé and Segei V. Pereverzev, Regularization by projection: Approximation theoretic aspects and distance functions, preprint 2007-10, TU Chemnitz, 2007.
  [lookup preprint]
• Peter Mathé and Nadine Schöne, Regularization by projection in variable Hilbert scales, submitted, 2007.
  download as [ pdf ]
• Bernd Hofmann and Peter Mathé, Analysis of profile functions for general regularization methods, SIAM J. Numer. Anal. (2007), to appear.
  [lookup preprint]
• Peter Mathé and Ulrich Tautenhahn, Interpolation in variable Hilbert scales with application to inverse problems, Inverse Problems 22 (2006), no. 6, 2271-2297.
  [lookup preprint]
• ---, Error bounds for regularization methods in Hilbert scales by using operator monotonicity, Far East J. Math. Sci. 24 (2006), no. 1, 1-21.
• Peter Mathé and Sergei V. Pereverzev, Regularization of some linear ill-posed problems with discretized random noisy data, Math. Comp. 75 (2006), no. 256, 1913-1929.
• ---, The discretized discrepancy principle under general source conditions, J. Complexity 22 (2006), no. 3, 371-381.
• Peter Mathé and E. Novak, Simple Monte Carlo and the Metropolis algorithm, submitted, 2006.
  [lookup preprint]
• Peter Mathé, What do we learn from the discrepancy principle?, J. Anal. and Appl. 25 (2006), no. 4, 411 - 420.
• Peter Mathé and Bernd Hofmann, Direct and inverse results in variable Hilbert scales, preprint 2006-27, TU Chemnitz, 2006.
  [lookup preprint]
• Peter Mathé, The Lepskii principle revisited, Inverse Problems 22 (2006), no. 3, L11-L15.
• Frank Bauer, Peter Mathé, and Sergei V. Pereverzev, Local solutions to inverse problems in geodesy. the impact of the noise covariance structure upon the accuracy of estimation, Journal of Geodesy 81 (2006), 39-51.
• Peter Mathé and Gang Wei, Quasi-Monte Carlo integration over R^d , Math. Comp. 73 (2004), no. 246, 827-841 (electronic).
  download as [ ps, compressed ps ]
• Stefan Jaschke and Peter Mathé, Stratified sampling for risk management , submitted, 2004.
  download as [ pdf, ps ]
• Peter Mathé, Saturation of regularization methods in Hilbert> spaces, SIAM J. Numer. Anal. 42 (2004), no. 3, 968-973.
• ----, Numerical integration using V-uniformly ergodic Markov chains, J. Appl. Probab. 41 (2004), no. 4, 1104-1112.
• ---, Degree of ill-posedness of statistical inverse problems, Preprint 954, WIAS, August 2004.
  [lookup preprint ]
• Peter Mathé and Johann Hinrich Zacharias-Langhans, On scattering of ultrasonic waves, Mathematics--key technology for the future, Springer, Berlin, 2003, pp. 493-502.
• Peter Mathé and Sergei V. Pereverzev, Geometry of linear ill-posed problems in variable Hilbert scales , Inverse Problems 19 (2003), no. 3, 789-803.
  download as [ pdf ]
• ---, Discretization strategy for linear ill-posed problems in variable Hilbert scales, Inverse Problems 19 (2003), no. 6, 1263-1277.
  download as [ pdf ]
• P. Mathé, Asymptotic constants for multivariate Bernstein polynomials , Studia Sci. Math. Hungar. 40 (2003), no. 1-2, 59-69.
  download as [ ps ]
• Peter Mathé and Sergei V. Pereverzev, Stable summation of orthogonal series with noisy coefficients, J. Approx. Theory 118 (2002), no. 1, 66-80.
  download as [ ps, compressed ps ]
• ---, Moduli of continuity for operator valued functions, Numer. Funct. Anal. Optim. 23 (2002), no. 5-6, 623-631.
  download as [ ps, compressed ps ]
• ---, Direct estimation of linear functionals from indirect noisy observations, J. Complexity 18 (2002), no. 2, 500-516.
  download as [ ps, compressed ps ]
• ---, Optimal discretization of inverse problems in Hilbert scales. Regularization and self-regularization of projection methods, SIAM J. Numer. Anal. 38 (2001), no. 6, 1999-2021.
  download as [ ps, compressed ps ]
• Peter Mathé, Hilbert space analysis of Latin hypercube sampling, Proc. Amer. Math. Soc. 129 (2001), no. 5, 1477-1492.
  download as [ ps, compressed ps ]
• Peter Mathé and Bernd Schmidt, Interpolation of Gauss-Markov processes, Preprint Nr. A/20/2000 FU Berlin, October 2000.
• Peter Mathé and Sergei V. Pereverzev, Optimal discretization and degrees of ill-posedness for inverse estimation in Hilbert scales in the presence of random noise, preprint WIAS, January 1999.
  download as [ ps, compressed ps ]
• Peter Mathé, Numerical integration using Markov chains, Monte Carlo Methods Appl. 5 (1999), no. 4, 325-343.
  download as [ ps, compressed ps ]
• ---, Approximation of Hölder continuous functions by Bernstein polynomials, Amer. Math. Monthly 106 (1999), no. 6, 568-574.
  download as [ ps, compressed ps ]