Corpus ID: 237940141

On Kosloff Tal-Ezer least-squares quadrature formulas

@article{Cappellazzo2021OnKT,
  title={On Kosloff Tal-Ezer least-squares quadrature formulas},
  author={Giacomo Cappellazzo and Wolfgang Erb and Francesco Marchetti and Davide Poggiali},
  journal={ArXiv},
  year={2021},
  volume={abs/2109.13138}
}
In this work, we study a global quadrature scheme for analytic functions on compact intervals based on function values on arbitrary grids of quadrature nodes. In practice it is not always possible to sample functions at optimal nodes with a low-order Lebesgue constant. Therefore, we go beyond classical interpolatory quadrature by lowering the degree of the polynomial approximant and by applying auxiliary mapping functions that map the original quadrature nodes to more suitable fake nodes. More… Expand

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