activity
20192023
most citedPreconditioners for Fractional Diffusion Equations Based on the Spectral Symbol

26 citations · 39 across the 8 of their papers we have counts for

collaborators

8 papers

math.NA2023★ 2 cited

Spectral properties of flipped Toeplitz matrices

Giovanni Barbarino, Sven-Erik Ekström, Carlo Garoni +3

We study the spectral properties of flipped Toeplitz matrices of the form , where is the Toeplitz matrix generated by the function and $Y…

math.NA2023★ 1 cited

From asymptotic distribution and vague convergence to uniform convergence, with numerical applications

Giovanni Barbarino, Sven-Erik Ekström, Carlo Garoni +3

Let be a sequence of finite multisets of real numbers such that as , and let …

math.NA2022

Fast Toeplitz eigenvalue computations, joining interpolation-extrapolation matrix-less algorithms and simple-loop conjectures: the preconditioned setting

Manuel Bogoya, Stefano Serra-Cappizano, Paris Vassalos

Under appropriate technical assumptions, the simple-loop theory allows to deduce various types of asymptotic expansions for the eigenvalues of Toeplitz matrices generate…

math.NA2022

Theoretical results for eigenvalues, singular values, and eigenvectors of (flipped) Toeplitz matrices and related computational proposals

Giovanni Barbarino, Sven-Erik Ekström, Stefano Serra-Capizzano +1

In a series of recent papers the spectral behavior of the matrix sequence is studied in the sense of the spectral distribution, where is the main antidiagonal…

math.NA2022

On a Boundary Updating Method for the Scalar Stefan Problem

Evangelos F. Magirou, Paraskevas Vassalos, Nikolaos Barakitis

We report on a general purpose method for the scalar Stefan problem inspired by the standard boundary updating method used in several existence proofs. By suitably modifying it we…

math.NA2019★ 26 cited

Preconditioners for Fractional Diffusion Equations Based on the Spectral Symbol

Nikos Barakitis, Sven-Erik Ekström, Paris Vassalos

It is well known that the discretization of fractional diffusion equations (FDEs) with fractional derivatives , using the so-called weighted and shifted Grünwald formula…

math.NA2019★ 2 cited

A Matrix-Less Method to Approximate the Spectrum and the Spectral Function of Toeplitz Matrices with Complex Eigenvalues

Sven-Erik Ekström, Paris Vassalos

It is known that the generating function of a sequence of Toeplitz matrices may not describe the asymptotic distribution of the eigenvalues of if is…

math.NA2019★ 8 cited

A Matrix-Less Method to Approximate the Spectrum and the Spectral Function of Toeplitz Matrices with Real Eigenvalues

Sven-Erik Ekström

It is known that the generating function of a sequence of Toeplitz matrices may not describe the asymptotic distribution of the eigenvalues of if is…