Numerical computation of eigenvalues and eigenvectors of matrices, Finite difference and finite volume methods for ordinary differential equations, generalized eigenvalue problem, Rayleigh-Ritz procedure, inverse iteration method, eigenvectors, Applications of quantum theory to specific physical systems, fourth-order finite difference scheme of Numerov type, stationary Schrödinger equation, quantum chemistry, Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators, multigrid algorithm, Numerical solution of eigenvalue problems involving ordinary differential equations