# T:A:L:K:S

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 title: Adaptive Wavelet Methods for SPDEs I: Regularity and Approximation of Random Fields name: Doehring first name: Nicolas location/conference: SPP-JT11 PRESENTATION-link: http://www.dfg-spp1324.de/nuhagtools/event_NEW/dateien/SPP-JT11/talks/SPP-JT2011_08_doehring.pdf abstract: We discuss a stochastic model which yields a class of random functions $X$ on a bounded domain $\mathcal{O}\subset\mathbb{R}^d$ in terms of wavelet expansions. We use these processes because they permit explicit control of their Besov regularity. In this talk we present error bounds for linear and non-linear approximation of $X$. As an outlook we consider $X$ to be the right hand side of an elliptic boundary value problem an present error bounds for best N-term approximation of the solution $U$. This is joint work with F. Lindner, R. Schilling (Dresden), K. Ritter (Kaiserslautern), T. Raasch (Mainz), P. Cioica, S. Dahlke and S. Kinzel (Marburg).