We carry out efforts to reproduce computational results for seven published articles and
identify barriers to computational reproducibility. We then derive three principles to guide the …

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 paper, we study a parallel-in-time (PinT) algorithm for all-at-once system from a non-
local evolutionary equation with weakly singular kernel where the temporal term involves a …

In this work, we propose an efficient and robust multigrid method for solving the time-
fractional heat equation. Due to the nonlocal property of fractional differential operators …

The complex-shifted Laplacian systems arising in a wide range of applications. In this work,
we propose an absolute-value based preconditioner for solving the complex-shifted …

The finite‐difference method applied to the time‐fractional subdiffusion equation usually
leads to a large‐scale linear system with a block lower triangular Toeplitz coefficient matrix …

This work deals with the efficient numerical solution of the time-fractional heat equation
discretized on non-uniform temporal meshes. Non-uniform grids are essential to capture the …

In this work, we develop an efficient incomplete iterative scheme for the numerical solution of
the subdiffusion model involving a Caputo derivative of order α ∈ (0, 1) α∈(0, 1) in time. It is …

In this article, a fast‐iterative method and a fast‐direct method is proposed for solving one‐
dimensional and two‐dimensional tempered fractional diffusion equations with constant …

Automatic segmentation of an image to identify all meaningful parts is one of the most
challenging as well as useful tasks in a number of application areas. This is widely studied …