Parameter selection and numerical approximation properties of Fourier extensions from fixed data

@article{Adcock2014ParameterSA,
  title={Parameter selection and numerical approximation properties of Fourier extensions from fixed data},
  author={B. Adcock and Joseph Ruan},
  journal={J. Comput. Phys.},
  year={2014},
  volume={273},
  pages={453-471}
}
  • B. Adcock, Joseph Ruan
  • Published 2014
  • Mathematics, Computer Science
  • J. Comput. Phys.
  • Fourier extensions have been shown to be an effective means for the approximation of smooth, nonperiodic functions on bounded intervals given their values on an equispaced, or in general, scattered grid. Related to this method are two parameters. These are the extension parameter T (the ratio of the size of the extended domain to the physical domain) and the oversampling ratio @h (the number of sampling nodes per Fourier mode). The purpose of this paper is to investigate how the choice of these… CONTINUE READING
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