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Articles written by Paffrath, M.

  1. Paffrath, M. and Wever, U.. "Adapted polynomial chaos expansion for failure detection" Journal of Computational Physics. 226 (1). SEP 10 2007. pp. 263--281.

    In this paper, we consider two methods of computation of failure probabilities by adapted polynomial chaos expansions. The performance of the two methods is demonstrated by a predator-prey model and a chemical reaction problem. (C) 2007 Elsevier Inc. All rights reserved.


  2. Augustin, F., Gilg, A., Paffrath, M., Rentrop, P., and Wever, U.. "A survey in mathematics for industry polynomial chaos for the approximation of uncertainties: Chances and limits" European Journal of Applied Mathematics. 19 (Part 2). APR 2008. pp. 149--190.

    In technical applications, uncertainties are a topic of increasing interest. During the last years the Polynomial Chaos of Wiener (Amer. J. Math. 60(4),897-936, 1938) was revealed to be a cheap alternative to Monte Carlo simulations. In this paper we apply Polynomial Chaos to stationary and transient problems, both from academics and from industry. For each of the applications, chances and limits of Polynomial Chaos are discussed. The presented problems show the need for new theoretical results.