Accurate and Efficient Reconstruction of Discontinuous Functions from Truncated Series Expansions

@inproceedings{Eckhoff2010AccurateAE,
  title={Accurate and Efficient Reconstruction of Discontinuous Functions from Truncated Series Expansions},
  author={Knut S. Eckhoff},
  year={2010}
}
Knowledge of a truncated Fourier series expansion for a discontinuous 2^-periodic function, or a truncated Chebyshev series expansion for a discontinuous nonperiodic function defined on the interval [-1, 1], is used in this paper to accurately and efficiently reconstruct the corresponding discontinuous function. First an algebraic equation of degree M for the M locations of discontinuities in each period for a periodic function, or in the interval (-1, 1 ) for a nonperiodic function, is… CONTINUE READING