Eigenvalue inclusions for second-order ordinary differential operators by a numerical homotopy method
Eigenvalue inclusions for second-order ordinary differential operators by a numerical homotopy method
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数值同伦法二阶常微分算子的特征值包含
DOI：
10.1007/bf00945108
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发表时间：
1990
期刊：
影响因子：
--
通讯作者：
M. Plum
中科院分区：
文献类型：
--
作者：
M. Plum
本文利用"初等"估计、适当的数值方法和同伦算法，导出了一类二阶常微分算子在Sturm-Liouville边界条件和周期边界条件下前N个特征值的包含区间.
SummaryInclusion intervals for the firstN eigenvalues of a second-order ordinary differential operator with boundary conditions of Sturm-Liouville or of periodic type are derived by a combination of “elementary” estimates, an appropriate numerical procedure and a homotopy algorithm.