4 papers
Block Schwarz methods and preconditioning strategies using Generalized locally Toeplitz tools - part I: analysis of the preconditioners and numerical validation
Abdessadek Rifqui, Ahmed Ratnani, Stefano Serra-Capizzano
In the current work we present a spectral analysis of the additive and multiplicative Schwarz methods within the framework of domain decomposition techniques, by investigating the…
On -preconditioners for a quasi-compact difference scheme to Riesz fractional diffusion equations with variable coefficients
Zi-Hang She, Xue Zhang, Xian-Ming Gu +1
In the present study, we consider the preconditioned generalized minimal residual (GMRES) method for the asymmetric linear systems arising from the -dimensional Riesz space frac…
Fine spectral analysis of preconditioned matrices and matrix-sequences arising from stage-parallel implicit Runge-Kutta methods of arbitrarily high order
Ivo Dravins, Stefano Serra-Capizzano, Maya Neytcheva
The use of high order fully implicit Runge-Kutta methods is of significant importance in the context of the numerical solution of transient partial differential equations, in parti…
Eigenvalue superposition expansion for Toeplitz matrix-sequences, generated by linear combinations of matrix-order dependent symbols, and applications to fast eigenvalue computations
M. Bogoya, S. Serra-Capizzano
The eigenvalues of Toeplitz matrices with a real-valued symbol , satisfying some conditions and tracing out a simple loop over the interval , are known to adm…