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
82 papers · 1 filter
Theory of the lattice Boltzmann method: discrete effects due to advection
Pierre Lallemand, François Dubois, Li-shi Luo
Lattice Boltzmann models are briefly introduced together with references to methods used to predict their ability for simulations of systems described by partial differential equat…
Numerical approximations of a lattice Boltzmann scheme with a family of partial differential equations
Bruce M Boghosian, François Dubois, Pierre Lallemand
In this contribution, we address the numerical solutions of high-order asymptotic equivalent partial differential equations with the results of a lattice Boltzmann scheme for an in…
A fitted scheme for a Caputo initial-boundary value problem
J. L. Gracia, E. O'Riordan, M. Stynes
In this paper we consider an initial-boundary value problem with a Caputo time derivative of order . The solution typically exhibits a weak singularity near the initial…
Highly efficient energy-conserving moment method for the multi-dimensional Vlasov-Maxwell system
Tianai Yin, Xinghui Zhong, Yanli Wang
We present an energy-conserving numerical scheme to solve the Vlasov-Maxwell (VM) system based on the regularized moment method proposed in [Z. Cai, Y. Fan, and R. Li. CPAM, 2014].…
On single distribution lattice Boltzmann schemes for the approximation of Navier Stokes equations
François Dubois, Pierre Lallemand
In this contribution we study the formal ability of a multi-resolution-times lattice Boltzmann scheme to approximate isothermal and thermal compressible Navier Stokes equations wit…
Hermite spectral method for multi-species Boltzmann equation
Ruo Li, Yixiao Lu, Yanli Wang +1
We introduce a numerical scheme for the full multi-species Boltzmann equation based on Hermite spectral method. With the proper choice of expansion centers for different species, a…
Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations
Chengchao Zhao, Nan Liu, Yuheng Ma +1
In this paper we consider a linearized variable-time-step two-step backward differentiation formula (BDF2) scheme for solving nonlinear parabolic equations. The scheme is construct…
Factorization method for inverse time-harmonic elastic scattering with a single plane wave
Guanqiu Ma, Guanghui Hu
This paper is concerned with the factorization method with a single far-field pattern to recover an arbitrary convex polygonal scatterer/source in linear elasticity. The approach a…
Error estimates of finite difference methods for the Dirac equation in the massless and nonrelativistic regime
Ying Ma, Jia Yin
We present four frequently used finite difference methods and establish the error bounds for the discretization of the Dirac equation in the massless and nonrelativistic regime, in…
Mesh-robustness of an energy stable BDF2 scheme with variable steps for the Cahn-Hilliard model
Hong-lin Liao, Bingquan Ji, Lin Wang +1
The two-step backward differential formula (BDF2) with unequal time-steps is applied to construct an energy stable convex-splitting scheme for the Cahn-Hilliard model. We focus on…
A parallel-in-time two-sided preconditioning for all-at-once system from a non-local evolutionary equation with weakly singular kernel
Xue-lei Lin, Michael K. Ng, Yajing Zhi
In this paper, we study a parallel-in-time (PinT) algorithm for all-at-once system from a non-local evolutionary equation with weakly singular kernel where the temporal term involv…
Factorization method with one plane wave: from model-driven and data-driven perspectives
Guanqiu Ma, Guanghui Hu
The factorization method by Kirsch (1998) provides a necessary and sufficient condition for characterizing the shape and position of an unknown scatterer by using far-field pattern…
Finite Element Calculation of Photonic Band Structures for Frequency Dependent Materials
Wenqiang Xiao, Bo Gong, Jiguang Sun +1
We consider the calculation of the band structure of frequency dependent photonic crystals. The associated eigenvalue problem is nonlinear and it is challenging to develop effectiv…
Bayesian Approach to Inverse Time-harmonic Acoustic Scattering from Sound-soft Obstacles with Phaseless Data
Zhipeng Yang, Xinping Gui, Ju Ming +1
This paper concerns the Bayesian approach to inverse acoustic scattering problems of inferring the position and shape of a sound-soft obstacle from phaseless far-field data generat…
Implicit bias with Ritz-Galerkin method in understanding deep learning for solving PDEs
Jihong Wang, Zhi-Qin John Xu, Jiwei Zhang +1
This paper aims at studying the difference between Ritz-Galerkin (R-G) method and deep neural network (DNN) method in solving partial differential equations (PDEs) to better unders…
Finite Element Approximation of Transmission Eigenvalues for Anisotropic Media
Bo Gong, Jiguang Sun, Tiara Turner +1
The transmission eigenvalue problem arises from the inverse scattering theory for inhomogeneous media and has important applications in many qualitative methods. The problem is pos…
A new finite element approach for the Dirichlet eigenvalue problem
Wenqiang Xiao, Bo Gong, Jiguang Sun +1
In this paper, we propose a new finite element approach, which is different than the classic Babuska-Osborn theory, to approximate Dirichlet eigenvalues. The Dirichlet eigenvalue p…
Analysis of adaptive BDF2 scheme for diffusion equations
Hong-lin Liao, Zhimin Zhang
The variable two-step backward differentiation formula (BDF2) is revisited via a new theoretical framework using the positive semi-definiteness of BDF2 convolution kernels and a cl…
Generalized bounce back boundary condition for the nine velocities two-dimensional lattice Boltzmann scheme
François Dubois, Pierre Lallemand, Mohamed Mahdi Tekitek
In a previous work, we have proposed a method for the analysis of the bounce back boundary condition with the Taylor expansion method in the linear case. In this work two new schem…
A Jacobi spectral method for computing eigenvalue gaps and their distribution statistics of the fractional Schrödinger operator
Weizhu Bao, Lizhen Chen, Xiaoyun Jiang +1
We propose a spectral method by using the Jacobi functions for computing eigenvalue gaps and their distribution statistics of the fractional Schrödinger operator (FSO). In the prob…
Bayesian Approach to Inverse Time-harmonic Acoustic Scattering with Phaseless Far-field Data
Zhipeng Yang, Xinping Gui, Ju Ming +1
This paper is concerned with inverse acoustic scattering problem of inferring the position and shape of a sound-soft obstacle from phaseless far-field data. We propose the Bayesian…
Evaluation of Abramowitz functions in the right half of the complex plane
Zydrunas Gimbutas, Shidong Jiang, Li-Shi Luo
A numerical scheme is developed for the evaluation of Abramowitz functions in the right half of the complex plane. For , the scheme utilizes series expan…
Adaptive second-order Crank-Nicolson time-stepping schemes for time fractional molecular beam epitaxial growth models
Bingquan Ji, Hong-lin Liao, Yuezheng Gong +1
Adaptive second-order Crank-Nicolson time-stepping methods using the recent scalar auxiliary variable (SAV) approach are developed for the time-fractional Molecular Beam Epitaxial…
Time-harmonic acoustic scattering from a non-locally perturbed trapezoidal surface
Wangtao Lu, Guanghui Hu
This paper is concerned with acoustic scattering from a sound-soft trapezoidal surface in two dimensions. The trapezoidal surface is supposed to consist of two horizontal half-line…