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DOI码：10.1137/17M1136249

发表刊物：SIAM Journal on Scientific Computing

关键字：eigenvalue problem, singular perturbation, asymptotic analysis, tailored finite point method

摘要：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 , 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 \epsilon \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.

论文类型：期刊论文

学科门类：理学

一级学科：数学

文献类型：J

卷号：40

期号：5

页面范围：A3293-A3321

是否译文：否

发表时间：2018-10-04

收录刊物：SCI