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
9 papers · 2 filters
How Many Numerical Eigenvalues can We Trust?
Zhimin Zhang
When using finite element and finite difference methods to approximate eigenvalues of -order elliptic problems, the number of reliable numerical eigenvalues can be estimat…
Convergence of adaptive mixed finite element method for convection-diffusion-reaction equations
Shaohong Du, Xiaoping Xie
We prove the convergence of an adaptive mixed finite element method (AMFEM) for (nonsymmetric) convection-diffusion-reaction equations. The convergence result holds from the cases…
Residual-based a posteriori error estimation for multipoint flux mixed finite element methods
Shaohong Du, Shuyu Sun, Xiaoping Xie
A novel residual-type {\it a posteriori} error analysis technique is developed for multipoint flux mixed finite element methods for flow in porous media in two or three space dimen…
New residual-based a posteriori error estimators for lowest-order Raviart-Thomas element approximation to convection-diffusion-reaction equations
Shaohong Du, Xiaoping Xie
A new technique of residual-type a posteriori error analysis is developed for the lowest-order Raviart-Thomas mixed finite element discretizations of convection-diffusion-reaction…
Superconvergence of Discontinuous Galerkin method for linear hyperbolic equations
Cao Waixiang, Zhang Zhimin, Zou Qingsong
In this paper, we study superconvergence properties of the discontinuous Galerkin (DG) method for one-dimensional linear hyperbolic equation when upwind fluxes are used. We prove,…
On -Convergence of PSWFs and A New Well-Conditioned Prolate-Collocation Scheme
Li-Lian Wang, Jing Zhang, Zhimin Zhang
The first purpose of this paper is to provide a rigorous proof for the nonconvergence of -refinement in -approximation by the PSWFs, a surprising convergence property that w…
An efficient spectral method for computing dynamics of rotating two-component Bose--Einstein condensates via coordinate transformation
Ming Ju, Qinglin Tang, Yanzhi Zhang
In this paper, we propose an efficient and accurate numerical method for computing the dynamics of rotating two-component Bose--Einstein condensates (BECs) which is described by co…
Numerical Study of Quantized Vortex Interaction in Complex Ginzburg--Landau Equation on Bounded Domains
Wei Jiang, Qinglin Tang
In this paper, we study numerically quantized vortex dynamics and their interaction in the two-dimensional complex Ginzburg-Landau equation (CGLE) with a dimensionless parameter $\…
Uniform and optimal error estimates of an exponential wave integrator sine pseudospectral method for the nonlinear Schrodinger equation with wave operator
Weizhu Bao, Yongyong Cai
We propose an exponential wave integrator sine pseudospectral (EWI-SP) method for the nonlinear Schrödinger equation (NLS) with wave operator (NLSW), and carry out rigorous error a…