The Origin and Nature of Spurious Eigenvalues in the Spectral Tau Method
The Origin and Nature of Spurious Eigenvalues in the Spectral Tau Method
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DOI：
10.1006/jcph.1998.6095
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发表时间：
1998-12
影响因子：
4.1
通讯作者：
Paul Dawkins;S. Dunbar;R. Douglass
中科院分区：
文献类型：
--
作者：
Paul Dawkins;S. Dunbar;R. Douglass
用Chebyshev？tau谱方法逼近边值问题的特征值时，即使问题的所有真特征值都有负实部，也可能产生具有大的正实部的伪特征值。在一个例子中，我们解释了“伪本征值”的起源和性质。解释将证明，大的正本征值是附近的广义本征值问题中无限个本征值的近似。
The Chebyshev?tau spectral method for approximating eigenvalues of boundary value problems may produce spurious eigenvalues with large positive real parts, even when all true eigenvalues of the problem are known to have negative real parts. We explain the origin and nature of the “spurious eigenvalues” in an example problem. The explanation will demonstrate that the large positive eigenvalues are an approximation of infinite eigenvalues in a nearby generalized eigenvalue problem.