WIAS Preprint No. 206, (1995)

Operator equations, multiscale concepts and complexity


  • Dahmen, Wolfgang
  • Kunoth, Angela
  • Schneider, Reinhold

2010 Mathematics Subject Classification

  • 65Y20 68Q25 65F35 45L10 65M99 76D07


  • Operator equations, multilevel techniques, complexity, wavelets, matrix compression, error estimators




In this paper, we review several recent developments centering upon the application of multiscale basis methods for the numerical solution of operator equations with special emphasis on complexity questions. In particular, issues like preconditioning, matrix compression, construction of special wavelet bases and adapted error estimators are addressed.

Appeared in

  • The mathematics of numerical analysis (Park City, UT, 1995), 225--261, Lectures in Appl. Math., 32, Amer. Math. Soc., Providence, RI, 1996

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