103 citations · 210 across the 10 of their papers we have counts for
10 papers · 1 filter
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…
A fast implicit difference scheme for solving the generalized time-space fractional diffusion equations with variable coefficients
Xian-Ming Gu, Ting-Zhu Huang, Yong-Liang Zhao +2
In this paper, we first propose an unconditionally stable implicit difference scheme for solving generalized time-space fractional diffusion equations (GTSFDEs) with variable coeff…
A Hessenberg-type Algorithm for Computing PageRank Problems
Xian-Ming Gu, Siu-Long Lei, Ke Zhang +3
PageRank is a widespread model for analysing the relative relevance of nodes within large graphs arising in several applications. In the current paper, we present a cost-effective…
Efficient variants of the CMRH method for solving a sequence of multi-shifted non-Hermitian linear systems simultaneously
Xian-Ming Gu, Ting-Zhu Huang, Bruno Carpentieri +3
Multi-shifted linear systems with non-Hermitian coefficient matrices arise in numerical solutions of time-dependent partial/fractional differential equations (PDEs/FDEs), in contro…
Fast iterative method with a second order implicit difference scheme for time-space fractional convection-diffusion equations
Xian-Ming Gu, Ting-Zhu Huang, Cui-Cui Ji +2
In this paper we want to propose practical numerical methods to solve a class of initial-boundary problem of time-space fractional convection-diffusion equations (TSFCDEs). To star…
Block variants of the COCG and COCR methods for solving complex symmetric linear systems with multiple right-hand sides
Xian-Ming Gu, Bruno Carpentieri, Ting-Zhu Huang +1
In the present study, we establish two new block variants of the Conjugate Orthogonal Conjugate Gradient (COCG) and the Conjugate A-Orthogonal Conjugate Residual (COCR) Krylov subs…
A hybrid recursive multilevel incomplete factorization preconditioner for solving general linear systems
Yiming Bu, Bruno Carpentieri, Zhaoli Shen +1
In this paper we introduce an algebraic recursive multilevel incomplete factorization preconditioner, based on a distributed Schur complement formulation, for solving general linea…
Using the VBARMS method in parallel computing
Bruno Carpentieri, Jia Liao, Masha Sosonkina +1
The paper describes an improved parallel MPI-based implementation of VBARMS, a variable block variant of the pARMS preconditioner proposed by Li,~Saad and Sosonkina [NLAA, 2003] fo…
Restarted Hessenberg method for solving shifted nonsymmetric linear systems
Xian-Ming Gu, Ting-Zhu Huang, Guojian Yin +3
It is known that the restarted full orthogonalization method (FOM) outperforms the restarted generalized minimum residual (GMRES) method in several circumstances for solving shifte…
A class of linear solvers built on the Biconjugate A-Orthonormalization Procedure for solving unsymmetric linear systems
B. Carpentieri, Y. -F. Jing, T. -Z. Huang +1
We present economical iterative algorithms built on the Biconjugate -Orthonormalization Procedure for real unsymmetric and complex non-Hermitian systems. The principal character…