Finite-Difference Approximations to Singular Sturm-Liouville Eigenvalue Problems
نویسندگان
چکیده
منابع مشابه
Eigenvalue Finite Difference Approximations for Regular and Singular Sturm-Liouville Problems
This paper includes two parts. In the first part, general error estimates for "stable" eigenvalue approximations are obtained. These are practical in the sense that they are based on the discretization error of the difference formula over the eigenspace associated with the isolated eigenvalue under consideration. Verification of these general estimates are carried out on two difference schemes:...
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This paper is concerned with a centered finite-difference approximation to to the nonselfadjoint Sturm-Liouville eigenvalue problem L[u] = [a(x)ux]x b(x)ux + c(x)u = Kit, 0 < x < 1, u(0) = u(l) = 0. It is shown that the eigenvectors W of the M X Af-matrix (Ax = l/(M +1) mesh size), which approximates L, are bounded in the maximum norm independent of M if they are normalized so that \W l2 = 1.
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1976
ISSN: 0025-5718
DOI: 10.2307/2005968