Abstract
The invariant imbedding method is used to provide algorithms for numerically computing eigenvalues for the Schrödinger equation and other eigenvalue problems. For the sake of illustration, the Hermite and Bessel equations are studied regarding their eigenvalues and, in the Hermite case, the asymptotic behavior of the eigenfunctions. The most salient feature is that the algorithms provided have good computational behavior in dealing with notoriously unstable problems.
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