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09/07/2023
From asymptotic distribution and vague convergence to uniform convergence, with numerical applications
Let {Λ_n={λ_1,n,…,λ_d_n,n}}_n be a sequence of finite multisets of real ...
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08/23/2023
Modeling excitable cells with the EMI equations: spectral analysis and iterative solution strategy
In this work, we are interested in solving large linear systems stemming...
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07/24/2023
A preconditioned MINRES method for optimal control of wave equations and its asymptotic spectral distribution theory
In this work, we propose a novel preconditioned Krylov subspace method f...
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02/09/2023
Fine spectral analysis of preconditioned matrices and matrix-sequences arising from stage-parallel implicit Runge-Kutta methods of arbitrarily high order
The use of high order fully implicit Runge-Kutta methods is of significa...
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03/14/2022
A note on the eigenvalues, singular values, and eigenvectors of Toeplitz and Hankel matrices
In a series of recent papers the spectral behavior of the matrix sequenc...
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02/23/2022
Fast algebraic multigrid for block-structured dense and Toeplitz-like-plus-Cross systems arising from nonlocal diffusion problems
Algebraic multigrid (AMG) is one of the most efficient iterative methods...
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02/11/2022
A note on the spectral analysis of matrix sequences via GLT momentary symbols: from all-at-once solution of parabolic problems to distributed fractional order matrices
The first focus of this paper is the characterization of the spectrum an...
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02/01/2022
Rectangular GLT Sequences
The theory of generalized locally Toeplitz (GLT) sequences is a powerful...
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01/25/2022
A sine transform based preconditioned MINRES method for all-at-once systems from evolutionary partial differential equations
In this work, we propose a simple yet generic preconditioned Krylov subs...
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11/27/2021
Asymptotic spectra of large (grid) graphs with a uniform local structure (part II): numerical applications
In the current work we are concerned with sequences of graphs having a g...
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11/23/2021
One or two frequencies? The Iterative Filtering answers
The Iterative Filtering method is a technique aimed at the decomposition...
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08/20/2021
Spectral and norm estimates for matrix sequences arising from a finite difference approximation of elliptic operators
When approximating elliptic problems by using specialized approximation ...
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03/22/2021
A matrix-theoretic spectral analysis of incompressible Navier-Stokes staggered DG approximation and related solvers
The incompressible Navier-Stokes equations are solved in a channel, usin...
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11/21/2020
Multilevel symmetrized Toeplitz structures and spectral distribution results for the related matrix-sequences
In recent years, motivated by computational purposes, the singular value...
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02/02/2020
Asymptotic spectra of large (grid) graphs with a uniform local structure
We are concerned with sequences of graphs having a grid geometry, with a...
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10/30/2019