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- W2894617813 abstract "In this paper, we study the asymptotic analysis and numerical method for singularly perturbed eigenvalue problems (SPEPs). We first make a close asymptotic analysis of the SPEP and prove that, for piecewise smooth potential functions $V(x)$, the eigenvalues converge to the minimum value of $V(x)$, and the eigenfunctions are concentrated in the immediate vicinity of the minimal points of $V(x)$ as $varepsilon to 0^+$. Then we propose some new schemes based on the tailored finite point method (TFPM) for numerical solutions of SPEPs with higher accuracy. Our numerical examples verify our theory and show the feasibility and efficiency of our TFPM." @default.
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- W2894617813 date "2018-01-01" @default.
- W2894617813 modified "2023-09-27" @default.
- W2894617813 title "Asymptotic Analysis and Numerical Method for Singularly Perturbed Eigenvalue Problems" @default.
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- W2894617813 doi "https://doi.org/10.1137/17m1136249" @default.
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