A trigonometrically-fitted method with two frequencies, one for the solution and another one for the derivative

@article{Ramos2014ATM,
  title={A trigonometrically-fitted method with two frequencies, one for the solution and another one for the derivative},
  author={Higinio Ramos and Jes{\'u}s Vigo-Aguiar},
  journal={Computer Physics Communications},
  year={2014},
  volume={185},
  pages={1230-1236}
}
In trigonometrically-fittedmethods the determination of the parameter (usually known as the frequency) is a critical issue, aswas shown in the article byH. Ramos and J. Vigo-Aguiar [AppliedMathematics Letters, 23 (2010) 1378–1381]. If the frequency estimation relies on the vanishing of the principal term of the local truncation error, then the first derivative is present in the formula for approximating the parameter. This requires the use of a procedure for approximating the first derivative… CONTINUE READING

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