49 citations · 289 across the 45 of their papers we have counts for
4 papers · 1 filter
Computation of sharp estimates of the Poincaré constant on planar domains with piecewise self-similar boundary
Lehel Banjai, Lyonell Boulton
We establish a strategy for finding sharp upper and lower numerical bounds of the Poincaré constant on a class of planar domains with piecewise self-similar boundary. The approach…
Sharp eigenvalue enclosures for the perturbed angular Kerr-Newman Dirac operator
Lyonell Boulton, Monika Winklmeier
A certified strategy for determining sharp intervals of enclosure for the eigenvalues of matrix differential operators with singular coefficients is examined. The strategy relies o…
On the convergence of the quadratic method
Lyonell Boulton, Aatef Hobiny
The convergence of the so-called quadratic method for computing eigenvalue enclosures of general self-adjoint operators is examined. Explicit asymptotic bounds for convergence to i…
Eigenvalue enclosures
Gabriel Raúl Barrenechea, Lyonell Boulton, Nabile Boussaid
This paper is concerned with methods for numerical computation of eigenvalue enclosures. We examine in close detail the equivalence between an extension of the Lehmann-Maehly-Goeri…