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• W2211640282 startingPage "01004" @default.
• W2211640282 abstract "Recently, we used the Sinc collocation method with the double exponential transformation to compute eigenvalues for singular Sturm-Liouville problems. In this work, we show that the computation complexity of the eigenvalues of such a differential eigenvalue problem can be considerably reduced when its operator commutes with the parity operator. In this case, the matrices resulting from the Sinc collocation method are centrosymmetric. Utilizing well known properties of centrosymmetric matrices, we transform the problem of solving one large eigensystem into solving two smaller eigensystems. We show that only 1/(N+1) of all components need to be computed and stored in order to obtain all eigenvalues, where (2N+1) corresponds to the dimension of the eigensystem. We applied our result to the Schrodinger equation with the anharmonic potential and the numerical results section clearly illustrates the substantial gain in efficiency and accuracy when using the proposed algorithm." @default.
• W2211640282 created "2016-06-24" @default.
• W2211640282 creator A5001539671 @default.
• W2211640282 creator A5055032206 @default.
• W2211640282 date "2016-01-01" @default.
• W2211640282 modified "2023-10-10" @default.
• W2211640282 title "Centrosymmetric Matrices in the Sinc Collocation Method for Sturm-Liouville Problems" @default.
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• W2211640282 doi "https://doi.org/10.1051/epjconf/201610801004" @default.
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