15 citations · 31 across the 8 of their papers we have counts for
8 papers
Error Analysis of Krylov Subspace approximation Based on IDR() Method for Matrix Function Bilinear Forms
Qianqian Xue, Xiaoqiang Yue, Xian-Ming Gu
The matrix function bilinear form, namely , appears in many scientific computing problems, where , $A \in \…
ParaDiag: parallel-in-time algorithms based on the diagonalization technique
Martin J. Gander, Jun Liu, Shu-Lin Wu +2
In 2008, Maday and Ronquist introduced an interesting new approach for the direct parallel-in-time (PinT) solution of time-dependent PDEs. The idea is to diagonalize the time stepp…
Algebraic multigrid block preconditioning for multi-group radiation diffusion equations
Xiaoqiang Yue, Shulei Zhang, Xiaowen Xu +2
The paper focuses on developing and studying efficient block preconditioners based on classical algebraic multigrid for the large-scale sparse linear systems arising from the fully…
A multigrid-reduction-in-time solver with a new two-level convergence for unsteady fractional Laplacian problems
Xiaoqiang Yue, Kejia Pan, Jie Zhou +3
The multigrid-reduction-in-time (MGRIT) technique has proven to be successful in achieving higher run-time speedup by exploiting parallelism in time. The goal of this article is to…
A spatial sixth-order CCD-TVD method for solving multidimensional coupled Burgers' equation
Kejia Pan, Xiaoxin Wu, Xiaoqiang Yue +1
In this paper, an efficient and high-order accuracy finite difference method is proposed for solving multidimensional nonlinear Burgers' equation. The third-order three stage Runge…
Parallel-in-Time with Fully Finite Element Multigrid for 2-D Space-fractional Diffusion Equations
Xiaoqiang Yue, Shi Shu, Xiaowen Xu +2
The paper investigates a non-intrusive parallel time integration with multigrid for space-fractional diffusion equations in two spatial dimensions. We firstly obtain a fully discre…
Time-space Finite Element Adaptive AMG for Multi-term Time Fractional Advection Diffusion Equations
Xiaoqiang Yue, Yehong Xu, Shi Shu +2
In this study we construct a time-space finite element (FE) scheme and furnish cost-efficient approximations for one-dimensional multi-term time fractional advection diffusion equa…
Fully Finite Element Adaptive Algebraic Multigrid Method for Time-Space Caputo-Riesz Fractional Diffusion Equations
Xiaoqiang Yue, Weiping Bu, Shi Shu +2
The paper aims to establish a fully discrete finite element (FE) scheme and provide cost-effective solutions for one-dimensional time-space Caputo-Riesz fractional diffusion equati…