1.6k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Chinese Academy of SciencesCN196 papers
- Beijing Normal UniversityCN148 papers
- University of Science and Technology of ChinaCN128 papers
- Lanzhou UniversityCN95 papers
- Zhejiang UniversityCN90 papers
- Tsinghua UniversityCN76 papers
- University of LisbonPT75 papers
- Centre National de la Recherche ScientifiqueFR74 papers
- University of Chinese Academy of SciencesCN73 papers
- Institute of PhysicsPL66 papers
- Institute of Theoretical PhysicsCN65 papers
- China Academy of Engineering PhysicsCN63 papers
18 papers · 2 filters
Sharp -norm error estimates of two time-stepping schemes for reaction-subdiffusion problems
Jincheng Ren, Hong-lin Liao, Jiwei Zhang +1
Due to the intrinsically initial singularity of solution and the discrete convolution form in numerical Caputo derivatives, the traditional -norm analysis (corresponding to th…
Super-resolution of time-splitting methods for the Dirac equation in the nonrelativistic regime
Weizhu Bao, Yongyong Cai, Jia Yin
We establish error bounds of the Lie-Trotter splitting () and Strang splitting () for the Dirac equation in the nonrelativistic limit regime in the absence of external ma…
Error Estimates of Energy Stable Numerical Schemes for Allen-Cahn Equations with Nonlocal Constraints
Shouwen Sun, Xiaobo Jing, Qi Wang
We present error estimates for four unconditionally energy stable numerical schemes developed for solving Allen-Cahn equations with nonlocal constraints. The schemes are linear and…
Second Order Linear Energy Stable Schemes for Allen-Cahn Equations with Nonlocal Constraints
Xiaobo Jing, Jun Li, Xueping Zhao +1
We present a set of linear, second order, unconditionally energy stable schemes for the Allen-Cahn equation with nonlocal constraints that preserves the total volume of each phase…
A Second Order Fully-discrete Linear Energy Stable Scheme for a Binary Compressible Viscous Fluid Model
Xueping Zhao, Qi Wang
We present a linear, second order fully discrete numerical scheme on a staggered grid for a thermodynamically consistent hydrodynamic phase field model of binary compressible fluid…
Energy Stable Second Order Linear Schemes for the Allen-Cahn Phase-Field Equation
Lin Wang, Haijun Yu
Phase-field model is a powerful mathematical tool to study the dynamics of interface and morphology changes in fluid mechanics and material sciences. However, numerically solving a…
Optimal error estimate of two linear and momentum-preserving Fourier pseudo-spectral schemes for the RLW equation
Qi Hong, Yushun Wang, Yuezheng Gong
In this paper, two novel linear-implicit and momentum-preserving Fourier pseudo-spectral schemes are proposed and analyzed for the regularized long-wave equation. The numerical met…
A linear finite element method for sixth order elliptic equations
Hailong Guo, Zhimin Zhang, Qingsong Zou
In this paper, we develop a straightforward linear finite element method for sixth-order elliptic equations. The basic idea is to use gradient recovery techniques to generate…
A direct imaging method for inverse elastic scattering by unbounded rigid rough surfaces
Guanghui Hu, Xiaoli Liu, Bo Zhang +1
This paper is concerned with the inverse time-harmonic elastic scattering problem of recovering unbounded rough surfaces in two dimensions. We assume that elastic plane waves with…
Unconditional convergence of a fast two-level linearized algorithm for semilinear subdiffusion equations
Hong-lin Liao, Yonggui Yan, Jiwei Zhang
A fast two-level linearized scheme with unequal time-steps is constructed and analyzed for an initial-boundary-value problem of semilinear subdiffusion equations. The two-level fas…
Curious convergence properties of lattice Boltzmann schemes for diffusion with acoustic scaling
Bruce Boghosian, François Dubois, Benjamin Graille +2
We consider the D1Q3 lattice Boltzmann scheme with an acoustic scale for the simulation of diffusive processes. When the mesh is refined while holding the diffusivity constant, we…
Superconvergence Points of Integer and Fractional Derivatives of Special Hermite Interpolations and Its Applications in Solving FDEs
Beichuan Deng, Jiwei Zhang, Zhimin Zhang
In this paper, we study convergence and superconvergence theory of integer and fractional derivatives of the one-point and the two-point Hermite interpolations. When considering th…
On Power Law Scaling Dynamics for Time-fractional Phase Field Models during Coarsening
Lizhen Chen, Jia Zhao, Hong Wang
In this paper, we study the phase field models with fractional-order in time. The phase field models have been widely used to study coarsening dynamics of material systems with mic…
Jacobi-Galerkin spectral method for eigenvalue problems of Riesz fractional differential equations
Lizhen Chen, Zhiping Mao, Huiyuan Li
An efficient Jacobi-Galerkin spectral method for calculating eigenvalues of Riesz fractional partial differential equations with homogeneous Dirichlet boundary values is proposed i…
An Accurate and Efficient Algorithm for The Time-fractional Molecular Beam Epitaxy Model with Slope Selection
Lizhen Chen, Jia Zhao, Waixiang Cao +2
In this paper, we propose a time-fractional molecular beam epitaxy (MBE) model with slope selection and its efficient, accurate, full discrete, linear numerical approximation. The…
A discrete Grönwall inequality with application to numerical schemes for subdiffusion problems
Hong-lin Liao, William McLean, Jiwei Zhang
We consider a class of numerical approximations to the Caputo fractional derivative. Our assumptions permit the use of nonuniform time steps, such as is appropriate for accurately…
Ball Prolate Spheroidal Wave Functions In Arbitrary Dimensions
Jing Zhang, Huiyuan Li, Li-Lian Wang +1
In this paper, we introduce the prolate spheroidal wave functions (PSWFs) of real order on the unit ball in arbitrary dimension, termed as ball PSWFs. They are eigenfunction…
Recovering the full Navier Stokes equations with lattice Boltzmann schemes
François Dubois, Benjamin Graille, Pierre Lallemand
We consider multi relaxation times lattice Boltzmann scheme with two particle distributions for the thermal Navier Stokes equations formulated with conservation of mass and momentu…