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Towards the Optimization of Apodized Resonators. [PDF]

open access: yesMicromachines (Basel)
Valenzuela-Pérez A, Collado C, Mateu J.
europepmc   +1 more source

A POLYNOMIAL INTERPOLATION PROCESS AT QUASI-CHEBYSHEV NODES WITH THE FFT

open access: yesA POLYNOMIAL INTERPOLATION PROCESS AT QUASI-CHEBYSHEV NODES WITH THE FFT
Interpolation polynomial p n at the Chebyshev nodes cosπj/n (0 ≤ j ≤ n) for smooth functions is known to converge fast as n → ∞. The sequence {p n } is constructed recursively and efficiently in O(n log 2 n) flops for each p n by using the FFT, where n is increased geometrically, n = 2 i (i = 2, 3,...), until an estimated error is within a given ...
openaire  

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