7 papers · 1 filter
Outlier-free isogeometric discretizations for Laplace eigenvalue problems: closed-form eigenvalue and eigenvector expressions
Noureddine Lamsahel, Carla Manni, Ahmed Ratnani +2
We derive explicit closed-form expressions for the eigenvalues and eigenvectors of the matrices resulting from isogeometric Galerkin discretizations based on outlier-free spline su…
A smoothing analysis for multigrid methods applied to tempered fractional problems
D. Ahmad, M. Donatelli, M. Mazza +2
We consider the numerical solution of time-dependent space tempered fractional diffusion equations. The use of Crank-Nicolson in time and of second-order accurate tempered weighted…
Fast algebraic multigrid for block-structured dense and Toeplitz-like-plus-Cross systems arising from nonlocal diffusion problems
Minghua Chen, Rongjun Cao, Stefano Serra-Capizzano
Algebraic multigrid (AMG) is one of the most efficient iterative methods for solving large sparse system of equations. However, how to build/check restriction and prolongation oper…
Fast Toeplitz eigenvalue computations, joining interpolation-extrapolation matrix-less algorithms and simple-loop theory
M. Bogoya, S. E. Ekström, S. Serra-Capizzano
Under appropriate technical assumptions, the simple-loop theory allows to deduce various types of asymptotic expansions for the eigenvalues of Toeplitz matrices generated by a func…
Multilevel symmetrized Toeplitz structures and spectral distribution results for the related matrix-sequences
Paola Ferrari, Isabella Furci, Stefano Serra-Capizzano
In recent years, motivated by computational purposes, the singular value and spectral features of the symmetrization of Toeplitz matrices generated by a Lebesgue integrable functio…
Asymptotic spectra of large (grid) graphs with a uniform local structure
Andrea Adriani, Davide Bianchi, Stefano Serra-Capizzano
We are concerned with sequences of graphs having a grid geometry, with a uniform local structure in a bounded domain , . We assume to be Lebesgu…