4 papers
Spectral analysis and sine transform based preconditioning for a structure preserving stabilized scheme approximating the space-fractional Allen Cahn equation with logarithmic potential
Danyal Ahmad, Stefano Serra-Capizzano, Muhammad Sohaib +1
We consider an initial boundary value problem of the space fractional Allen-Cahn equation with logarithmic Flory-Huggins potential. As an approximation technique, first-order weigh…
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-…
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…
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…