In this paper, we concentrate on design a bilateral preconditioning for all-at-once system
from multidimensional time-space non-local evolution equations with a weakly singular …

We present a fully-discrete finite element scheme to a generalized distributed-order time-
fractional option pricing model, which adequately describes, eg, the valuation of the …

In this work, we propose a simple yet generic preconditioned Krylov subspace method for a
large class of nonsymmetric block Toeplitz all-at-once systems arising from discretizing …

In this study, a novel preconditioner based on the absolute-value block α-circulant matrix
approximation is developed, specifically designed for nonsymmetric dense block lower …

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

Abstract In Lin et al.(2021)[21] and Zhao et al.(2023)[37], two-sided preconditioning
techniques are proposed for non-local evolutionary equations, which possesses (i) mesh …

The sinc-Nyström method is a high-order numerical method based on sinc basis functions
for discretizing evolutionary differential equations in time. But in this method we have to …

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 …

We investigate an inverse problem with quasi-boundary value regularization for
reconstructing a source term of time-space fractional diffusion equations from the final …

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 …