A5100453130- Advanced Numerical Methods in Computational Mathematics
- Numerical methods in engineering
- Electromagnetic Simulation and Numerical Methods
- Advanced Mathematical Modeling in Engineering
- Numerical methods for differential equations
- Laser Material Processing Techniques
- Advanced Chemical Physics Studies
- Nonlinear Optical Materials Studies
- Differential Equations and Numerical Methods
- Force Microscopy Techniques and Applications
- Spectroscopy and Quantum Chemical Studies
- Advanced Surface Polishing Techniques
- Market Dynamics and Volatility
- Matrix Theory and Algorithms
- Atomic and Molecular Physics
- Fluid Dynamics and Turbulent Flows
- Lattice Boltzmann Simulation Studies
- Molecular Junctions and Nanostructures
- High-pressure geophysics and materials
- Advanced Memory and Neural Computing
- Complex Systems and Time Series Analysis
- Computational Fluid Dynamics and Aerodynamics
- Fluid Dynamics and Vibration Analysis
- Surface and Thin Film Phenomena
- Magnetic and transport properties of perovskites and related materials
Central University of Finance and Economics
2008-2023
ShanghaiTech University
2019
UCLouvain
2016
European Theoretical Spectroscopy Facility
2016
Changchun University of Technology
2015
Graphene-based $s{p}^{2}$-carbon nanostructures such as carbon nanotubes and nanofibers can fail near their ideal strengths due to exceedingly small dimensions. We have calculated the phonon spectra of graphene a function uniaxial tension by density functional perturbation theory assess first occurrence instability on strain path, which controls strength defect-free crystal at $0\phantom{\rule{0.3em}{0ex}}\mathrm{K}$. Uniaxial tensile is applied in $x$ (nearest-neighbor) $y$ (second...
We present the GW100 set. is a benchmark set of ionization potentials and electron affinities 100 molecules computed with GW method using three independent codes different methodologies. The quasi-particle energies highest-occupied molecular orbitals (HOMO) lowest-unoccupied (LUMO) are calculated for at G0W0@PBE level software packages TURBOMOLE, FHI-aims, BerkeleyGW. use these allows quantitative comparison type basis (plane wave or local orbital) handling unoccupied states, treatment core...
We assess the validity of various exchange-correlation functionals for computing structural, vibrational, dielectric, and thermodynamical properties materials in framework density-functional perturbation theory (DFPT). consider five generalized-gradient approximation (GGA) (PBE, PBEsol, WC, AM05, HTBS) as well local density (LDA) functional. investigate a wide variety including semiconductor (silicon), metal (copper), insulators (SiO$_2$ $\alpha$-quartz stishovite, ZrSiO$_4$ zircon, MgO...
The linear reaction–diffusion problem – ϵ2Δu + bu = f is considered on the unit square with homogeneous Dirichlet boundary conditions. Here ϵ a small positive parameter and in general singularly perturbed. numerical solution of this analysed Shishkin mesh that has N intervals each coordinate direction, using Galerkin finite-element method bilinear trial functions. accuracy method, measured associated energy norm, shown to be O(N−2 ϵ1/2N−1 ln N). It proved two-scale sparse grid achieves same...
Three-dimensional (3D) printing has allowed for the production of geometrically complex 3D objects with extreme flexibility, which is currently undergoing rapid expansion in terms materials, functionalities, as well areas application. When attempting to print microstructures glass, femtosecond laser-induced chemical etching (FLICE)—which a subtractive technique—has proved itself powerful approach. Here, we demonstrate fabrication macro-scale glass large heights up ~3.8 cm an identical...
In this paper, some two‐scale Boolean Galerkin discretizations are proposed and analyzed for a class of Fredholm integral equations the second kind in multidimensions. It is shown by both theory numerics that type multiscale discretization algorithm not only significantly reduces number degrees freedom but also produces very accurate approximations.
Some local and parallel algorithms for two-scale finite element discretizations are proposed analyzed in this paper elliptic boundary value problems. These motivated by the observation that, a solution to some problems, low frequency components can be approximated well relatively coarse grid high computed on partially fine grids procedure. A theoretical tool analyzing these is recent error estimates approximations.
Three-dimensional (3D) printing has allowed for production of geometrically complex 3D objects with extreme flexibility, which is currently undergoing rapid expansions in terms materials, functionalities, as well areas application. When attempting to print microstructures glass, femtosecond laser induced chemical etching (FLICE) – a subtractive technique proved itself powerful approach. Here, we demonstrate fabrication macro-scale glass large heights up ~3.8 cm an identical lateral...
This paper studies a simple postprocessing of two-scale finite element discretizations elliptic partial differential operators, where boundary value problems and eigenvalue on tensor-product domains $\Omega\subset\mathbb{R}^d$ are both examined conforming piecewise d-linear elements used. For $d\geq2$, suppose that the method is applied using coarse mesh some univariate fine meshes satisfying $H=\mathcal{O}(h^{2/3})$, h H widths. It shown for classes problem postprocessed solution achieves...
In this paper, a new first-order, sphere-constraint-preserving numerical scheme is constructed for the Ericksen-Leslie equations with variable density. Firstly, by denoting orientation field vector $ \pmb{d} in polar coordinate, we rewrite system into an equivalent such that sphere constraint \lvert \pmb{d}\rvert = 1 can be still preserved at discrete level. Secondly, propose first-order discretization time which velocity and modified pressure are determined generalized Stokes problem each...
We extend the constant-elasticity regression that is default choice when equities' exposure to currencies estimated. In a proper real-option-style model for exporters' equity foreign exchange rate, we argue, convexity of relationship implies elasticity should depend on rate level. For instance, it shrink zero option export becomes worthless, and happen at critical still strictly positive. propose class tractable multi-regime models featuring, in line with real-options logic, smooth...
Three-dimensional (3D) printing has allowed for production of geometrically complex 3D objects with extreme flexibility, which is currently undergoing rapid expansions in terms materials, functionalities, as well areas application. When attempting to print microstructures glass, femtosecond laser induced chemical etching (FLICE) proved itself a powerful approach. Here, we demonstrate fabrication macro-scale glass large heights up ~3.8 cm well-balanced (i.e., lateral vs longitudinal) spatial...
Abstract In this paper, some symmetrized two-scale finite element methods are proposed for a class of partial differential equations with symmetric solutions. With these methods, the approximation on fine tensor-product grid is reduced to approximations much coarser and univariant grid. It shown by both theory numerics including electronic structure calculations that resulting still maintain an asymptotically optimal accuracy. By computational cost can be further factor 𝑑 approximately...
Recently, the role of safe-haven currency has become increasingly remarkable: in time stress, uncertainty aversion drives investors to shun risky currencies and fly for quality. The that serves as a safe haven also acts benchmark performance measurement. In this paper we explore what contributes or image turbulence. By comparing floating rates band-regime ones, strong base weak with different market shares, find benchmarking primarily comes from currency' strength measured by interest rate...