Resumen de Legendre multi-projection methods for solving eigenvalue problems for a compact integral operator
Bijaya Laxmi Panigrahi, Guangqing Long, Gnaneshwar Nelakanti
In this paper, we consider the M-Galerkin and M-collocation methods for solving the eigenvalue problem for a compact integral operator with smooth kernels, using Legendre polynomial bases. We obtain error bounds for the eigenvalues and the gap between the spectral subspaces in both LegendreM-Galerkin and LegendreM-collocation methods. We also obtain superconvergence results for the eigenvalues and iterated eigenvectors in both L2 and infinity norm. We illustrate our results with numerical examples.
