A note on superconvergence in projection-based numerical approximations of eigenvalue problems for Fredholm integral operators
arXiv:2603.24707v1 Announce Type: new Abstract: This paper studies the eigenvalue problem $K psi = lambda psi$ associated with a Fredholm integral operator $K$ defined by a smooth kernel. The focus is on analyzing the convergence behaviour of numerical approximations to eigenvalues and their corresponding spectral subspaces. The interpolatory projection methods are employed on spaces of piecewise polynomials of even degree, using $2r+1$ collocation points that are not restricted to Gauss nodes. Explicit convergence rates are established, and the […]