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Reliable operations on oscillatory functions
Approximate -point Leibniz derivation formulas as well as interpolatory
Simpson quadrature sums adapted to oscillatory functions are discussed. Both
theoretical considerations and numerical evidence concerning the dependence of
the discretization errors on the frequency parameter of the oscillatory
functions show that the accuracy gain of the present formulas over those based
on the exponential fitting approach [L. Ixaru, "Computer Physics
Communications", 105 (1997) 1--19] is overwhelming.Comment: 20 pages with 5 figures within, welcome any comments to
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