Wideband nested cross approximation for Helmholtz problems. Bebendorf, M., Kuske, C., & Venn, R. Numerische Mathematik, 130(1):1–34, 2015.
doi  abstract   bibtex   
In this article, the construction of nested bases approximations to discretizations of integral operators with oscillatory kernels is presented. The new method has log-linear complexity and generalizes the adaptive cross approximation method to high-frequency problems. It allows for a continuous and numerically stable transition from low to high frequencies.
@Article{         Bebendorf_2015aa,
  abstract      = {In this article, the construction of nested bases approximations to discretizations of integral operators with oscillatory kernels is presented. The new method has log-linear complexity and generalizes the adaptive cross approximation method to high-frequency problems. It allows for a continuous and numerically stable transition from low to high frequencies.},
  author        = {Bebendorf, M. and Kuske, C. and Venn, R.},
  doi           = {10.1007/s00211-014-0656-7},
  issn          = {0945-3245},
  journal       = {Numerische Mathematik},
  number        = {1},
  pages         = {1--34},
  title         = {Wideband nested cross approximation for {Helmholtz} problems},
  volume        = {130},
  year          = {2015},
  shortjournal  = {Numer. Math.}
}

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