Approximation of positive semidefinite spectral problems

被引：0
|
作者：
S. I. Solov’ev
机构：
[1] Kazan Federal University,
来源：
Differential Equations | 2011年 / 47卷
关键词：
Hilbert Space; Bilinear Form; Spectral Problem; Positive Eigenvalue; Grid Method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A variational positive semidefinite spectral problem in an infinite-dimensional Hilbert space is approximated by a problem in a finite-dimensional subspace. We study the convergence and accuracy of the approximate solutions. General results are illustrated by an example dealing with the scheme of the finite-element method with numerical integration for a one-dimensional second-order differential spectral problem.
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页码：1188 / 1196
页数：8
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