Spectral inclusion and spectral exactness for singular non-selfadjoint Sturm-Liouville problems
B.M. Brown and M. Marletta
我们考虑通过间隔截断对单单非自刚性Sturm-Lioville运算符的频谱进行正则化的影响。 我们介绍了西姆斯案例II或模拟案例III中奇点的光谱内化和光谱精确性的结果。 对于模拟市民案例,我们提出了一个光谱不精确的测试,它可以用来检测间隔截断过程何时产生虚假的特征值。 数值结果说明了该测试的有效性。
We consider the effect of regularization by interval truncation on the spectrum of a singular non-selfadjoint Sturm-Liouville operator. We present results on spectral inclusion and spectral exactness for the cases where the singularity is in Sims Case II or Sims Case III. For Sims Case I we present a test for spectral inexactness, which can be used to detect when the interval truncation process is generating spurious eigenvalues. Numerical results illustrate the effectiveness of this test.