187 citations · 1.2k across the 42 of their papers we have counts for
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An inexact proximal majorization-minimization Algorithm for remote sensing image stripe noise removal
Chengjing Wang, Xile Zhao, Qingsong Wang +2
The stripe noise existing in remote sensing images badly degrades the visual quality and restricts the precision of data analysis. Therefore, many destriping models have been propo…
Fast second-order implicit difference schemes for time distributed-order and Riesz space fractional diffusion-wave equations
Huan-Yan Jian, Ting-Zhu Huang, Xian-Ming Gu +2
In this paper, fast numerical methods are established for solving a class of time distributed-order and Riesz space fractional diffusion-wave equations. We derive new difference sc…
A note on parallel preconditioning for the all-at-once solution of Riesz fractional diffusion equations
Xian-Ming Gu, Yong-Liang Zhao, Xi-Le Zhao +2
The -step backwards difference formula (BDF) for solving the system of ODEs can result in a kind of all-at-once linear systems, which are solved via the parallel-in-time precond…
An implicit integration factor method for a kind of spatial fractional diffusion equations
Yong-Liang Zhao, Pei-Yong Zhu, Xian-Ming Gu +2
A kind of spatial fractional diffusion equations in this paper are studied. Firstly, an L1 formula is employed for the spatial discretization of the equations. Then, a second order…
A preconditioning technique for all-at-once system from the nonlinear tempered fractional diffusion equation
Yong-Liang Zhao, Pei-Yong Zhu, Xian-Ming Gu +2
An all-at-once linear system arising from the nonlinear tempered fractional diffusion equation with variable coefficients is studied. Firstly, the nonlinear and linearized implicit…
A fast second-order accurate difference schemes for time distributed-order and Riesz space fractional diffusion equations
Huan-Yan Jian, Ting-Zhu Huang, Xi-Le Zhao +1
The aim of this paper is to develop fast second-order accurate difference schemes for solving one- and two-dimensional time distributed-order and Riesz space fractional diffusion e…
A limited-memory block bi-diagonal Toeplitz preconditioner for block lower triangular Toeplitz system from time-space fractional diffusion equation
Yong-Liang Zhao, Pei-Yong Zhu, Xian-Ming Gu +2
A block lower triangular Toeplitz system arising from time-space fractional diffusion equation is discussed. For efficient solutions of such the linear system, the preconditioned b…
Multi-dimensional imaging data recovery via minimizing the partial sum of tubal nuclear norm
Tai-Xiang Jiang, Ting-Zhu Huang, Xi-Le Zhao +1
In this paper, we investigate tensor recovery problems within the tensor singular value decomposition (t-SVD) framework. We propose the partial sum of the tubal nuclear norm (PSTNN…
A second-order accurate implicit difference scheme for time fractional reaction-diffusion equation with variable coefficients and time drift term
Yong-Liang Zhao, Pei-Yong Zhu, Xian-Ming Gu +1
An implicit finite difference scheme based on the - formula is presented for a class of one-dimensional time fractional reaction-diffusion equations with variable coeffici…
Strang-type preconditioners for solving fractional diffusion equations by boundary value methods
Xian-Ming Gu, Ting-Zhu Huang, Xi-Le Zhao +2
The finite difference scheme with the shifted Grünwarld formula is employed to semi-discrete the fractional diffusion equations. This spatial discretization can reduce to the large…