4 papers
Block preconditioning for all-at-once variable-coefficient fractional evolution equations via the GLT analysis
Muhammad Faisal Khan, Stefano Serra-Capizzano
We study a class of nonlocal evolutionary partial differential equations with weakly singular temporal kernel and spatially variable diffusion coefficient. The model is posed on $Ω…
Exactly Diagonal Gram Matrices in Jacobi Weighted Histopolation
Allal Guessab, Federico Nudo, Stefano Serra-Capizzano
In the current work, we study univariate polynomial weighted histopolation on , where the data are weighted integrals over a family of intervals. After choosing a polynomia…
Condition numbers of block Toeplitz matrices and stability of space-time IgA approximations for the wave and Schrödinger equations
Manuel Bogoya, Albrecht Böttcher, Matteo Ferrari +2
In previous work by several authors, the behavior of the condition numbers of banded Toeplitz matrices was studied as the matrix size tends to infinity. In the present contribution…
Analysis of Block Jacobi/Gauss-Seidel and additive/multiplicative Schwarz preconditioning through the theory of GLT sequences, with applications to domain decomposition discretizations
Carlo Garoni, Abdessadek Rifqui, Stefano Serra-Capizzano
When a linear differential problem is discretized by a linear numerical method characterized by a mesh fineness parameter , the computation of the numerical solution reduces to…