4 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…