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Questions on symbolically or numerically determining the eigenvalues of matrices (Eigenvalues, Eigensystem) or differential equations (DEigenvalues, DEigensystem, NDEigenvalues, NDEigensystem) in Mathematica. Also includes determining the eigenvalues of differential equations with DSolve or NDSolve.
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Solution to eigenvalue BVP using NDEigensystem to high precision
For example, the below code solves for the first 5 eigenvalues of the harmonic oscillator,
$$
-u'' + V(x) u = Eu
$$
where $V(x) = x^2$ which should be solved subject to $u \to 0$ as $|x| \to \pm\infty …