Results 1 to 10 of about 355,548 (259)

Numerical Analysis of Spectral Methods: Theory and Application (CBMS-NSF Regional Conference Series in Applied Mathematics) [PDF]

, 1978
David Gottlieb, Steven A. Orszag, Gary A. Sod   +2 more
openalex   +2 more sources

Open problems in the spectral theory of signed graphs [PDF]

The Art of Discrete and Applied Mathematics, 2019
Signed graphs are graphs whose edges get a sign $+1$ or $-1$ (the signature). Signed graphs can be studied by means of graph matrices extended to signed graphs in a natural way.
Francesco Belardo, S. Cioabă, J. Koolen, Jianfeng Wang   +3 more
semanticscholar   +1 more source

Geary’s c and Spectral Graph Theory

Mathematics, 2021
Spatial autocorrelation, of which Geary’s c has traditionally been a popular measure, is fundamental to spatial science. This paper provides a new perspective on Geary’s c.
Hiro-Fumi Yamada
semanticscholar   +1 more source

Spectral theory and mirror symmetry [PDF]

Proceedings of Symposia in Pure Mathematics, 2015
Recent developments in string theory have revealed a surprising connection between spectral theory and local mirror symmetry: it has been found that the quantization of mirror curves to toric Calabi-Yau threefolds leads to trace class operators, whose ...
M. Mariño
semanticscholar   +1 more source

Spectral Mackey functors and equivariant algebraic K-theory, II [PDF]

Tunisian Journal of Mathematics, 2015
We study the "higher algebra" of spectral Mackey functors, which the first named author introduced in Part I of this paper. In particular, armed with our new theory of symmetric promonoidal $\infty$-categories and a suitable generalization of the second ...
C. Barwick, Saul Glasman, J. Shah
semanticscholar   +1 more source

Methods of perturbation theory in the qualitative essential spectral analysis of differential operators

Mathematical Modelling and Analysis, 1998
The qualitative properties of perturbed differential equations are investigated. The analogies of the classical Weyl theorem are proved.
V. A. Erovenko
doaj   +1 more source

Classifying photonic topology using the spectral localizer and numerical K-theory [PDF]

APL Photonics
Recently, the spectral localizer framework has emerged as an efficient approach for classifying topology in photonic systems featuring local nonlinearities and radiative environments. In nonlinear systems, this framework provides rigorous definitions for
Alexander Cerjan, T. Loring
semanticscholar   +1 more source

On the spectral theory and dispersive estimates for a discrete Schrödinger equation in one dimension [PDF]

Journal of Mathematics and Physics, 2008
Based on the recent work [Komech et al., “Dispersive estimates for 1D discrete Schrodinger and Klein-Gordon equations,” Appl. Anal. 85, 1487 (2006)] for compact potentials, we develop the spectral theory for the one-dimensional discrete Schrodinger ...
D. Pelinovsky, A. Stefanov
semanticscholar   +1 more source

The foundations of spectral computations via the Solvability Complexity Index hierarchy [PDF]

Journal of the European Mathematical Society (Print), 2019
The problem of computing spectra of operators is arguably one of the most investigated areas of computational mathematics. Recent progress and the current paper reveal that, unlike the finite-dimensional case, infinite-dimensional problems yield a highly
Matthew J. Colbrook, A. Hansen
semanticscholar   +1 more source

Spectral properties of the singular Friedrichs–Lee Hamiltonian [PDF]

Journal of Mathematics and Physics, 2019
We show that the one-excitation sector of a two-level atom interacting with a structured boson field can be modelled by a generalisation of the standard Friedrichs-Lee model which includes the possibility of a singular atom-field coupling.
P. Facchi, M. Ligabò, Davide Lonigro
semanticscholar   +1 more source