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math.NA2025
Discrete-to-continuum convergence of the density of states for Mathieu's equation
Peter Hofhansel, Alexander B. Watson
The density of states of a self-adjoint operator generalizes the eigenvalue distribution of a Hermitian matrix. We prove convergence of the density of states for a tight-binding mo…
math.NA2022★ 1 cited
Computing Truncated Joint Approximate Eigenbases for Model Order Reduction
Terry A. Loring, Fredy Vides
In this document, some elements of the theory and algorithmics corresponding to the existence and computability of approximate joint eigenpairs for finite collections of matrices w…
math.NA2021★ 1 cited
Computing spectral properties of topological insulators without artificial truncation or supercell approximation
Matthew J. Colbrook, Andrew Horning, Kyle Thicke +1
Topological insulators (TIs) are renowned for their remarkable electronic properties: quantised bulk Hall and edge conductivities, and robust edge wave-packet propagation, even in…