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.

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*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.

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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. -
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*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.

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*Discretization strategy for linear ill-posed problems in variable Hilbert scales*, Inverse Problems**19**(2003), no. 6, 1263-1277.

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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.

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*Moduli of continuity for operator valued functions*, Numer. Funct. Anal. Optim.**23**(2002), no. 5-6, 623-631.

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*Direct estimation of linear functionals from indirect noisy observations*, J. Complexity**18**(2002), no. 2, 500-516.

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*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.

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Peter Mathé,
*Hilbert space analysis of Latin hypercube sampling*, Proc. Amer. Math. Soc.**129**(2001), no. 5, 1477-1492.

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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.

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Peter Mathé,
*Numerical integration using Markov chains*, Monte Carlo Methods Appl.**5**(1999), no. 4, 325-343.

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*Approximation of Hölder continuous functions by Bernstein polynomials*, Amer. Math. Monthly**106**(1999), no. 6, 568-574.

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Peter Mathe 2005-19-01