A new approach to spectral approximation

2014/03/27 by Strauss, Michael
#47A58 #47A75 #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1403.7120

Abstract

A new technique for approximating eigenvalues and eigenvectors of a self-adjoint operator is presented. The method does not incur spectral pollution, uses trial spaces from the form domain, has a self-adjoint algorithm, and exhibits superconvergence.

Related

• Spectral Pollution
• Spectral enclosure and superconvergence for eigenvalues in gaps
• Non-consistent approximations of self-adjoint eigenproblems: Application to the supercell method
• The Galerkin Method for Perturbed Self-Adjoint Operators and Applications
• On the limit behaviour of second order relative spectra of self-adjoint operators