Search Results - "GARONI, CARLO"

Block Generalized Locally Toeplitz Sequences: From the Theory to the Applications by Garoni, Carlo, Mazza, Mariarosa, Serra-Capizzano, Stefano

“…The theory of generalized locally Toeplitz (GLT) sequences is a powerful apparatus for computing the asymptotic spectral distribution of matrices An arising…”
Get full text

Spectral analysis and spectral symbol of matrices in isogeometric collocation methods by Donatelli, Marco, Garoni, Carlo, Manni, Carla, Serra-Capizzano, Stefano, Speleers, Hendrik

“…We consider a linear full elliptic second order partial differential equation in a d-dimensional domain, d ≥ 1, approximated by isogeometric collocation…”
Get full text

Spectral analysis and spectral symbol of matrices in isogeometric Galerkin methods by GARONI, CARLO, MANNI, CARLA, SERRA-CAPIZZANO, STEFANO, SESANA, DEBORA, SPELEERS, HENDRIK

“…A linear full elliptic second-order Partial Differential Equation (PDE), defined on a d-dimensional domain \Omega , is approximated by the isogeometric…”
Get full text

The theory of locally Toeplitz sequences: a review, an extension, and a few representative applications by Garoni, Carlo, Serra-Capizzano, Stefano

“…The theory of locally Toeplitz (LT) sequences is a powerful apparatus for computing the asymptotic singular value and eigenvalue distribution of the…”
Get full text

On the asymptotic spectral distribution of increasing size matrices: test functions, spectral clustering, and asymptotic estimates of outliers by Bianchi, Davide, Garoni, Carlo

“…Let {An}n be a sequence of square matrices such that size(An)=dn→∞ as n→∞. We say that {An}n has an asymptotic spectral distribution described by a Lebesgue…”
Get full text

An extension of the theory of GLT sequences: sampling on asymptotically uniform grids by Barbarino, Giovanni, Garoni, Carlo

“…The theory of generalized locally Toeplitz (GLT) sequences is a powerful apparatus for computing the asymptotic singular value and spectral distributions of…”
Get full text

Topological foundations of an asymptotic approximation theory for sequences of matrices with increasing size by Garoni, Carlo

“…Sequences of matrices with increasing size arise in several contexts, including the discretization of integral and differential equations. An asymptotic…”
Get full text

Spectral analysis of matrices resulting from isogeometric immersed methods and trimmed geometries by Garoni, Carlo, Manni, Carla, Pelosi, Francesca, Speleers, Hendrik

“…Dealing with complex and trimmed geometries is one of the current challenges in isogeometric analysis. Coupling the isogeometric paradigm with the framework of…”
Get full text

SYMBOL-BASED MULTIGRID METHODS FOR GALERKIN B-SPLINE ISOGEOMETRIC ANALYSIS by DONATELLI, MARCO, GARONI, CARLO, MANNI, CARLA, SERRA-CAPIZZANO, STEFANO, SPELEERS, HENDRIK

“…We consider the stiffness matrices arising from the Galerkin B-spline isogeometric analysis discretization of classical elliptic problems. By exploiting their…”
Get full text

Estimates for the minimum eigenvalue and the condition number of Hermitian (block) Toeplitz matrices by Garoni, Carlo

“…We give a lower bound for the minimum eigenvalue of the Hermitian Toeplitz matrix Tn(|θ|α) and a corresponding upper bound for the spectral condition number…”
Get full text

Constructive approach to the monotone rearrangement of functions by Barbarino, Giovanni, Bianchi, Davide, Garoni, Carlo

“…We detail a simple procedure (easily convertible to an algorithm) for constructing, from quasi-uniform samples of f, a sequence of linear spline functions…”
Get full text

Robust and optimal multi-iterative techniques for IgA Galerkin linear systems by Donatelli, Marco, Garoni, Carlo, Manni, Carla, Serra-Capizzano, Stefano, Speleers, Hendrik

“…We consider fast solvers for large linear systems arising from the Galerkin approximation based on B-splines of classical d-dimensional elliptic problems, d≥1,…”
Get full text

Spectral Distribution Results Beyond the Algebra Generated by Variable-Coefficient Toeplitz Sequences: The GLT Approach by Garoni, Carlo, Serra-Capizzano, Stefano

“…We show that, under suitable assumptions on the function a : [ 0 , 1 ] 2 × [ - π , π ] → C , the sequence of variable-coefficient Toeplitz matrices generated…”
Get full text

Isogeometric discretizations with generalized B-splines: Symbol-based spectral analysis by Cardinali, Maria Lucia, Garoni, Carlo, Manni, Carla, Speleers, Hendrik

“…We perform a spectral analysis of matrices arising from isogeometric discretizations based on hyperbolic and trigonometric generalized B-splines. Second-order…”
Get full text

Robust and optimal multi-iterative techniques for IgA collocation linear systems by Donatelli, Marco, Garoni, Carlo, Manni, Carla, Serra-Capizzano, Stefano, Speleers, Hendrik

“…We consider fast solvers for the large linear systems coming from the Isogeometric Analysis (IgA) collocation approximation based on B-splines of full elliptic…”
Get full text

A matrix-less and parallel interpolation–extrapolation algorithm for computing the eigenvalues of preconditioned banded symmetric Toeplitz matrices by Ekström, Sven-Erik, Garoni, Carlo

“…In the past few years, Bogoya, Böttcher, Grudsky, and Maximenko obtained the precise asymptotic expansion for the eigenvalues of a Toeplitz matrix T n ( f ),…”
Get full text

Eigenvalues and eigenvectors of tau matrices with applications to Markov processes and economics by Ekström, Sven-Erik, Garoni, Carlo, Jozefiak, Adam, Perla, Jesse

“…In the context of matrix displacement decomposition, Bozzo and Di Fiore introduced the so-called τε,φ algebra, a generalization of the well known τ algebra. We…”
Get full text

On the spectrum of stiffness matrices arising from isogeometric analysis by Garoni, Carlo, Manni, Carla, Pelosi, Francesca, Serra-Capizzano, Stefano, Speleers, Hendrik

“…We study the spectral properties of stiffness matrices that arise in the context of isogeometric analysis for the numerical solution of classical second order…”
Get full text

Lusin theorem, GLT sequences and matrix computations: An application to the spectral analysis of PDE discretization matrices by Garoni, Carlo, Manni, Carla, Serra-Capizzano, Stefano, Sesana, Debora, Speleers, Hendrik

“…In this paper we consider a general d-dimensional second-order elliptic Partial Differential Equation (PDE) with variable coefficients, and we extend previous…”
Get full text

Fast Parallel Solver for the Space-time IgA-DG Discretization of the Diffusion Equation by Benedusi, Pietro, Ferrari, Paola, Garoni, Carlo, Krause, Rolf, Serra-Capizzano, Stefano

“…We consider the space-time discretization of the diffusion equation, using an isogeometric analysis (IgA) approximation in space and a discontinuous Galerkin…”
Get full text