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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 from the extra–
membrane–intra model, which is employed for simulating excitable tissues at a cellular …
membrane–intra model, which is employed for simulating excitable tissues at a cellular …
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 for solving an
optimal control problem of wave equations, after explicitly identifying the asymptotic spectral …
optimal control problem of wave equations, after explicitly identifying the asymptotic spectral …
Flipped structured matrix-sequences in image deblurring with reflective and anti-reflective boundary conditions
Motivated by the recent work (Donatelli et al. Electron. Trans. Numer. Anal. 59, 157-178
2023) on a preconditioned MINRES for flipped linear systems in imaging with Dirichlet …
2023) on a preconditioned MINRES for flipped linear systems in imaging with Dirichlet …
From asymptotic distribution and vague convergence to uniform convergence, with numerical applications
Let $\{\Lambda_n=\{\lambda_ {1, n},\ldots,\lambda_ {d_n, n}\}\} _n $ be a sequence of finite
multisets of real numbers such that $ d_n\to\infty $ as $ n\to\infty $, and let …
multisets of real numbers such that $ d_n\to\infty $ as $ n\to\infty $, and let …
Dense cell-by-cell systems of PDEs: approximation, spectral analysis, and preconditioning
In the present study, we consider the Extra-Membrane-Intra model (EMI) for the simulation of
excitable tissues at the cellular level. We provide the (possibly large) system of partial …
excitable tissues at the cellular level. We provide the (possibly large) system of partial …
Graph approximation and generalized Tikhonov regularization for signal deblurring
Given a compact linear operator K, the (pseudo) inverse K^\dagger is usually substituted by
a family of regularizing operators R_α which depends on K itself. Naturally, in the actual …
a family of regularizing operators R_α which depends on K itself. Naturally, in the actual …
Matrix-less spectral approximation for large structured matrices
Sequences of structured matrices of increasing size, such as generalized locally Toeplitz
sequences, arise in many scientific applications and especially in the numerical …
sequences, arise in many scientific applications and especially in the numerical …
Low-Rank Approaches to Graphon Learning in Networks
The graphon is a powerful framework for modeling large-scale networks, but its estimation
remains a significant challenge. In this paper, we propose a novel approach that directly …
remains a significant challenge. In this paper, we propose a novel approach that directly …
Toeplitz momentary symbols: definition, results, and limitations in the spectral analysis of structured matrices
A powerful tool for analyzing and approximating the singular values and eigenvalues of
structured matrices is the theory of Generalized Locally Toeplitz (GLT) sequences. By the …
structured matrices is the theory of Generalized Locally Toeplitz (GLT) sequences. By the …
Flipped structured matrix-sequences in image deblurring with general boundary conditions
Motivated by a recent work on a preconditioned MINRES for flipped linear systems in
imaging, in this note we extend the scope of that research for including more precise …
imaging, in this note we extend the scope of that research for including more precise …