Abstract
We examine a certified strategy for determining sharp intervals of enclosure for the eigenvalues of matrix differential operators with singular coefficients. The strategy relies on computing the secondorder spectrum relative to subspaces of continuous piecewise linear functions. For smooth perturbations of the angular Kerr–Newman Dirac operator, explicit rates of convergence linked to regularity of the eigenfunctions are established. Numerical tests which validate and sharpen by several orders of magnitude the existing benchmarks are also included.
Original language  English 

Article number  20150232 
Journal  Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 
Volume  471 
Issue number  2182 
Early online date  30 Sept 2015 
DOIs  
Publication status  Published  Oct 2015 
Keywords
 Angular KerrNewman Dirac operator
 Computation of upper and lower bounds for eigenvalues
 Numerical approximation of eigenvalues
 Projection methods
ASJC Scopus subject areas
 Mathematics(all)
 Engineering(all)
 Physics and Astronomy(all)
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Lyonell Boulton
 School of Mathematical & Computer Sciences  Professor
 School of Mathematical & Computer Sciences, Mathematics  Professor
Person: Academic (Research & Teaching)