2 citations · 5 across the 9 of their papers we have counts for
9 papers
Structure-preserving preconditioning of discrete space-fractional diffusion equations with variable coefficient and θ-Method
Muhammad Faisal Khan, Asim Ilyas, Rolf Krause +2
This paper studies the spectral properties of large matrices and the preconditioning of linear systems, arising from the finite difference discretization of a time-dependent space-…
Can the a.c.s. notion and the GLT theory handle approximated PDEs/FDEs with either moving or unbounded domains?
Andrea Adriani, Alec Jacopo Almo Schiavoni-Piazza, Stefano Serra-Capizzano +1
In the current note we consider matrix-sequences of increasing sizes depending on and equipped with a parameter . For every fixed , we assume that eac…
Asymptotic spectral properties and preconditioning of an approximated nonlocal Helmholtz equation with Caputo fractional Laplacian and variable coefficient wave number
Andrea Adriani, Rosita Luisa Sormani, Cristina Tablino-Possio +2
The current study investigates the asymptotic spectral properties of a finite difference approximation of nonlocal Helmholtz equations with a Caputo fractional Laplacian and a vari…
Optimal Preconditioners for Finite Element Approximations of Convection-Diffusion Equations on structured meshes
Alessandro Russo, Stefano Serra Capizzano, Cristina Tablino Possio
The paper is devoted to the spectral analysis of effective preconditioners for linear systems obtained via a Finite Element approximation to diffusion-dominated convection-diffusio…
Preconditioned HSS Method for Finite Element Approximations of Convection-Diffusion Equations
Alessandro Russo, Cristina Tablino Possio
A two-step preconditioned iterative method based on the Hermitian/Skew-Hermitian splitting is applied to the solution of nonsymmetric linear systems arising from the Finite Element…
A Note on Algebraic Multigrid Methods for the Discrete Weighted Laplacian
S. Serra-Capizzano, C. Tablino Possio
In recent contributions, algebraic multigrid methods have been designed and studied from the viewpoint of the spectral complementarity. In this note we focus our efforts on specifi…
A Proposal of Multigrid Methods for Hermitian Positive Definite Linear Systems enjoying an order relation
Stefano Serra-Capizzano, Cristina Tablino Possio
Given a multigrid procedure for linear systems with coefficient matrices , we discuss the optimality of a related multigrid procedure with the same smoother and the same proje…
Truncated decompositions and filtering methods with Reflective/Anti-Reflective boundary conditions: a comparison
Cristina Tablino Possio
The paper analyzes and compares some spectral filtering methods as truncated singular/eigen-value decompositions and Tikhonov/Re-blurring regularizations in the case of the recentl…
V-cycle optimal convergence for DCT-III matrices
C. Tablino Possio
The paper analyzes a two-grid and a multigrid method for matrices belonging to the DCT-III algebra and generated by a polynomial symbol. The aim is to prove that the convergence ra…