Harmonic oscillators with Neumann condition on the half-line

Virginie Bonnaillie-Noël (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

This paper is devoted to the computation of the minimum $\Theta_{0}$ of the first eigenvalues for the Neumann realization of harmonic oscillators on the half-line. We propose an algorithm to determine this minimum and we estimate the accuracy of these computations. We also give numerical computations of constants appearing in superconductivity theory.

Mots clés: Eigenvalue; Finite difference method; Error estimate

Domaines: Analyse numérique [math.NA]

Virginie Bonnaillie-Noël. Harmonic oscillators with Neumann condition on the half-line. Communications on Pure and Applied Mathematics, 2012, 11 (6), pp.2221-2237. ⟨10.3934/cpaa.2012.11.2221⟩. ⟨hal-00267803v2⟩