Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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COMPOSITE-EXPONENTIAL-FITTING INTERPOLATION RULES

  • Published : 2008.04.30
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Abstract

This paper demonstrates how composite-exponential-fitting interpolation rules can be constructed to fit an oscillatory function using not only pointwise values of that function but also of that functions's derivative on a closed and bounded interval of interest. This is done in the framework of exponential-fitting techniques. These rules extend the classical composite cubic Hermite interpolating polynomials in the sense that they become the classical composite polynomials as a parameter tends to zero. Some examples are provided to compare the newly constructed rules with the classical composite cubic Hermite interpolating polynomials (or recently developed interpolation rules).

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Cited by

  1. Error analysis for frequency-dependent interpolation formulas using first derivatives vol.217, pp.19, 2011, https://doi.org/10.1016/j.amc.2011.02.073