185 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of Electronic Science and Technology of ChinaCN23 papers
- Sichuan UniversityCN18 papers
- University of Hong KongHK11 papers
- London School of Economics and Political ScienceGB9 papers
- Southwest Jiaotong UniversityCN9 papers
- University of GroningenNL8 papers
- Hong Kong Polytechnic UniversityHK6 papers
- The University of MelbourneAU6 papers
- University of PittsburghUS6 papers
- Chengdu UniversityCN5 papers
- Chinese Academy of SciencesCN5 papers
- Hong Kong University of Science and TechnologyHK5 papers
8 papers · 2 filters
An efficient second-order energy stable BDF scheme for the space fractional Cahn-Hilliard equation
Yong-Liang Zhao, Meng Li, Alexander Ostermann +1
The space fractional Cahn-Hilliard phase-field model is more adequate and accurate in the description of the formation and phase change mechanism than the classical Cahn-Hilliard m…
A low-rank Lie-Trotter splitting approach for nonlinear fractional complex Ginzburg-Landau equations
Yong-Liang Zhao, Alexander Ostermann, Xian-Ming Gu
Fractional Ginzburg-Landau equations as the generalization of the classical one have been used to describe various physical phenomena. In this paper, we propose a numerical integra…
Tikhonov regularization for polynomial approximation problems in Gauss quadrature points
Congpei An, Hao-Ning Wu
This paper is concerned with the introduction of Tikhonov regularization into least squares approximation scheme on by orthonormal polynomials, in order to handle noisy da…
A preconditioning technique for an all-at-once system from Volterra subdiffusion equations with graded time steps
Yong-Liang Zhao, Xian-Ming Gu, Alexander Ostermann
Volterra subdiffusion problems with weakly singular kernel describe the dynamics of subdiffusion processes well.The graded scheme is often chosen to discretize such problems s…
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…
Fast implicit difference schemes for time-space fractional diffusion equations with the integral fractional Laplacian
Xian-Ming Gu, Hai-Wei Sun, Yanzhi Zhang +1
In this paper, we develop two fast implicit difference schemes for solving a class of variable-coefficient time-space fractional diffusion equations with integral fractional Laplac…
An energy-based discontinuous Galerkin method for semilinear wave equations
Daniel Appelo, Thomas Hagstrom, Qi Wang +1
We generalize the energy-based discontinuous Galerkin method proposed in [SIAM J. Num. Anal., 53(6):2705-2726, 2015.] to second-order semilinear wave equations. A stability and con…