Superconvergence of Legendre projection methods for the eigenvalue problem of a compact integral operator (Q629498)

The authors investigate the superconvergence of Legendre projection methods for the eigenvalue problem of a compact integral operator. They set up a theoretical framework for the eigenvalue problem using global polynomial bases. Later they apply this theory to the Legendre-Galerkin methods and the Legendre collocation methods to obtain superconvergence rates. Numerical results are presented.