In this work, we propose an absolute value block α-circulant preconditioner for the minimal
residual (MINRES) method to solve an all-at-once system arising from the discretization of …

In this study, the $\theta $-method is used for discretizing a class of evolutionary partial
differential equations. Then, we transform the resultant all-at-once linear system and …

This paper is concerned with the fast algorithm for solving multidimensional spatial fractional
Cahn-Hilliard equations. The equations are discretized by a linear and energy-stable finite …

In this paper, we generalize a fast Fourier transforms (FFTs) based preconditioner and
propose a novel α-absolute value preconditioner for all-at-once systems from heat …

In this study, a novel class of block ω-circulant preconditioners is developed for the all-at-
once linear system that emerges from solving parabolic equations using first and second …

Preconditioning for multilevel Toeplitz systems has long been a focal point of research in
numerical linear algebra. In this work, we develop a novel preconditioning method for a …