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- W2901650602 abstract "The generalized sinc-Gaussian sampling operator is established by Asharabi(2016) to approximate two classes of analytic functions. In this paper, weuse this operator to construct a new sampling method to approximate theeigenvalues of the periodic (semi-periodic) Dirac system of differentialequations problem. The convergence rate of this method is of exponentialtype, i.e., $mathrm{e}^{-alpha_{r} N}/sqrt{N}$,$alpha_{r}=left((r+1)pi-sigma hright)/2$. The sinc-Gaussian andHermite-Gauss methods are special cases of this method.We estimate the amplitude error associated to this operator, which gives us the possibility to establish the error analysis of this method.Various illustrative examples are presented and they show a good agreement with our theoretical analysis." @default.
- W2901650602 created "2018-11-29" @default.
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- W2901650602 date "2018-01-01" @default.
- W2901650602 modified "2023-10-13" @default.
- W2901650602 title "The use of the generalized sinc-Gaussian sampling for numerically computing eigenvalues of periodic Dirac system" @default.
- W2901650602 doi "https://doi.org/10.1553/etna_vol48s373" @default.
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