弱正则Sturm-Liouville问题：一种修正的谱矩阵方法
Weakly regular Sturm-Liouville problems: a corrected spectral matrix method
摘要：
本文考虑了区域两端具有无界位势的弱正则Sturm-Liouville特征值问题。我们提出了一个Galerkin谱矩阵方法的解决方案，我们研究的错误，它提供的特征值近似。收敛性分析的结果，然后使用推导出一个低成本和非常有效的公式计算校正的数值特征值。最后，我们提出并讨论了几个数值实验的结果，证实了该方法的有效性。
英文摘要：
In this paper, we consider weakly regular Sturm-Liouville eigenproblems with unbounded potential at both endpoints of the domain. We propose a Galerkin spectral matrix method for its solution and we study the error in the eigenvalue approximations it provides. The result of the convergence analysis is then used to derive a low-cost and very effective formula for the computation of corrected numerical eigenvalues. Finally, we present and discuss the results of several numerical experiments which confirm the validity of the approach.
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