Research Group of Prof. Dr. M. Griebel
Institute for Numerical Simulation

  author = {S.~Knapek and F.~Koster},
  title = {Integral operators on sparse grids},
  journal = {SIAM J. Num. Anal.},
  year = {2002},
  volume = {39},
  number = {5},
  pages = {1794-1809},
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  annote = {refereed,256C,article},
  abstract = {This paper is concerned with the construction and use of
		  wavelet approximation spaces for the fast evaluation of
		  integral expressions. Based on the framework of
		  tensor-product biorthogonal wavelet bases we introduce
		  sparse grid (hyperbolic cross) type approximation spaces
		  and discuss additional compression schemes on top of these
		  discretizations. We introduce blending schemes for the
		  efficient evaluation of such integral expressions and for
		  the solution of integro-differential equations. Numerical
		  examples for the Laplace equation with Dirichlet boundary
		  conditions and an additional integral term with smooth
		  kernel validate our theoretical findings.},
  ps = { 1}