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• State-observation augmented diffusion model for nonlinear assimilation with unknown dynamics
• Construction and analysis for orthonormalized Runge-Kutta schemes of high-index saddle dynamics
• Designing a minimal Landau model to stabilize desired quasicrystals
• A diffuse-interface Landau-de Gennes model for free-boundary problems in the theory of nematic liquid crystals
• Construction and analysis for Adams explicit discretization of high-index saddle dynamics
• DRM Revisited: A Complete Error Analysis
• IRRATIONAL-WINDOW-FILTER PROJECTION METHOD AND APPLICATION TO QUASIPERIODIC SCHRODINGER EIGENPROBLEMS
• ON THE APPROXIMATION OF QUASIPERIODIC FUNCTIONS WITH DIOPHANTINE FREQUENCIES BY PERIODIC FUNCTIONS
• Stability of Diverse Dodecagonal Quasicrystals in T-Shaped Liquid Crystalline Molecules
• UNDERSTANDING HIGH-INDEX SADDLE DYNAMICS VIA NUMERICAL ANALYSIS
• π-HuB: the proteomic navigator of the human body
• Accurately Recover Global Quasiperiodic Systems by Finite Points
• An Adaptive Method Based on Local Dynamic Mode Decomposition for Parametric Dynamical Systems
• Improved freezing rain forecast using machine learning
• Latent assimilation with implicit neural representations for unknown dynamics
• Nucleation and phase transition of decagonal quasicrystals
• Numerical Methods and Analysis of Computing Quasiperiodic Systems
• Recovering the Source Term in Elliptic Equation via Deep Learning: Method and Convergence Analysis
• Semi-implicit method of high-index saddle dynamics and application to construct solution landscape
• Theory of Polygonal Phases Self-Assembled from T-Shaped Liquid Crystalline Molecules
• A model-free shrinking-dimer saddle dynamics for finding saddle point and solution landscape
• Discretization and index-robust error analysis for constrained high-index saddle dynamics on the high-dimensional sphere
• Error estimate for semi-implicit method of sphere-constrained high-index saddle dynamics
• Mathematical and numerical analysis to shrinking-dimer saddle dynamics with local Lipschitz conditions
• Probabilistic error estimate for numerical discretization of high-index saddle dynamics with inaccurate models
• A deep spatio-temporal forecasting model for multi-site weather prediction post-processing
• A station-data-based model residual machine learning method for fine-grained meteorological grid prediction
• Computing solution landscape of nonlinear space-fractional problems via fast approximation algorithm
• Error estimates for euler discretization of high-index saddle dynamics
• Shaping future low-carbon energy and transportation systems: Digital technologies and applications
• Solution Landscape of the Onsager Model Identifies Non-axisymmetric Critical Points
• The comparative study on the digital economy and trade between China, the U.S. and the EU
• Modeling and Computation of Liquid Crystals
• Solution landscape of a reduced Landau–de Gennes model on a hexagon
• Transition pathways connecting crystals and quasicrystals
• A Data-Driven Random Subfeature Ensemble Learning Algorithm for Weather Forecasting
• A Variable-Separation Method for Nonlinear Partial Differential Equations With Random Inputs
• Analysis of the energy-minimization multiscale model with multiobjective optimization
• Anisotropic Nonlocal Diffusion Operators for Normal and Anomalous Dynamics
• Construction of a Pathway Map on a Complicated Energy Landscape
• Detecting Suspected Epidemic Cases Using Trajectory Big Data
• Machine Learning-based Weather Support for the 2022 Winter Olympics
• A Model Output Machine Learning Method for Grid Temperature Forecasts in the Beijing Area
• Detecting Particle Clusters in Particle-Fluid Systems by a Density Based Method
• Elastic properties of liquid-crystalline bilayers self-assembled from semiflexible-flexible deblock copolymers
• Transition pathways between defect patterns in confined nematic liquid crystals
• A Fast Algorithm for the Moments of Bingham Distribution
• A tensor model for nematic phases of bent-core molecules based on molecular theory
• Approximations on SO(3) by Wigner D-matrix and Applications
• Boundary Problems for the Fractional and Tempered Fractional Operators
• Calculating Elastic Constants of Bent-Core Molecules from Onsager-Theory-Based Tensor Model
• Formation of three-dimensional colloidal crystals in a nematic liquid crystal
• Local minimizer and De Giorgi’s type conjecture for the isotropic–nematic interface problem
• On the Isotropic-Nematic Phase Transition for the Liquid Crystal
• Onsager-theory-based dynamic model for nematic phases of bent-core molecules and star molecules
• Computing Optimal Interfacial Structure of Modulated Phases
• Defects Around a Spherical Particle in Cholesteric Liquid Crystals
• Liquid Crystalline Bilayers Self-Assembled from Rod-Coil Diblock Copolymers
• On equilibrium configurations of nematic liquid crystals droplet with anisotropic elastic energy
• On Minimizers for the Isotropic-Nematic Interface Problem
• Stability of Half-Degree Point Defect Profiles for 2D Nematic Liquid Crystals
• Stability of Icosahedral Quasicrystals in a Simple Model with Two-Length Scales
• The Transmission of Symmetry of Liquid Crystals
• Topological Defects in an Unconfined Nematic Fluid Induced by Single and Double Spherical Colloidal Particles
• Transition of Defect Patterns from 2D to 3D in Liquid Crystals
• Nematic ordering of semi-flexible polymers confined on a toroidal surface
• On the Disclination Lines of Nematic Liquid Crystals
• Stability of Soft Quasicrystals in a Coupled-Mode Swift-Hohenberg Model for Three-Component Systems
• Analytic Structure of the SCFT Energy Functional of Multicomponent Block Copolymers
• Application of Self-consistent Field Theory to Self-Assembled Bilayer Membrane
• Dynamic Transitions and Pattern Formations for a Cahn-Hilliard Model with Long-Range Repulsive Interactions
• Efficient numerical schemes for solving the self-consistent field equations of flexible–semiflexible diblock copolymers
• From Microscopic Theory to Macroscopic Theory: a Systematic Study on Modeling for Liquid Crystals
• Local Well-posedness and Small Deborah Limit of A Molecular-Based Q-Tensor System
• Rigorous Derivation from Landau-De Gennes Theory to Ericksen-Leslie Theory
• Stability of Two-Dimensional Soft Quasicrystals in Systems with Two Length Scales
• The Small Deborah Number Limit of the Doi-Onsager Equation to the Ericksen-Leslie Equation
• Boundary Effects in Confined Copolymer System and Compressible SCFT Model
• Conformation of Polyelectrolytes in Poor Sol-vents: Variational Approach and Quantitative Comparison with Scaling Predictions
• Dynamic Transition for Landau-Brazovskii Model
• From Microscopic Theory to Macroscopic Theory - Symmetries and Order Parameters of Rigid Molecules
• Is There a Third Order Phase Transition for Supercritical Fluids?
• Numerical Methods for Quasicrystals
• Rigid Linear Particles Con ned on a Spherical Surface: Phase Diagram of Nematic Defect States
• A Strategy to Explore Stable and Metastable Ordered Phases of Block Copolymers
• A Tensor Model for Liquid Crystals on a Spherical Surface
• Discovery of New Metastable Patterns in Diblock Copolymers
• Measuring the Spontaneous Curvature of Bilayer Membranes by Molecular Dynamics Simulations
• Modified Diffusion Equation for the Wormlike-chain Statistics in Curvilinear Coordinates
• Nucleation Rate Calculation for the Phase Transition of Diblock Copolymers under Stochastic Cahn-Hilliard Dynamics
• Simulation Study of Quasi-Ballistic Transport in Asymmetric DG-MOSFET by Directly Solving Boltzmann Transport Equation
• Well-Posedness of the Ericksen-Leslie System
• Computable Modeling(Chinese)
• Error estimate of short-range force calculation in inhomogeneous molecular systems
• Numerical Study for the Nucleation of One-Dimensional Stochastic Cahn-Hilliard Dynamics
• On the Numerical Accuracy of Ewald Smooth Particle Mesh Ewald and Staggered Mesh Ewald Methods for Correlated Molecular Systems
• Well-Posedness of Hydrodynamics on the Moving Elastic Surface
• A Finite Volume Method for the Multi Subband Boltzmann Equation with Realistic 2D Scattering in Double Gate MOSFETs
• Effect of exposure to trace elements in the soil on the prevalence of neural tube defects in a high-risk area of China
• On the existence of a third-order phase transition beyond the Andrews critical point: A molecular dynamics study
• Origin of epitaxies between ordered phases of block copolymers
• A Nonhomogeneous Kinetic Model of Liquid Crystal Polymers and Its Thermodynamic Closure Approximation
• A numerical method for the study of nucleation of ordered phases
• Local Existence and Uniqueness of the Dynamical Equations of an Incompressible Membrane in Two-Dimensional Space
• Nucleation of Ordered Phases in Block Copolymers
• Spectral method for exploring patterns of diblock copolymers
• A Kinetic-Hydrodynamic Simulation of Liquid Crystalline Polymers Under Plane Shear Flow: 1+2 Dimensional Case
• Adaptive Stroud stochastic collocation method for flow in random porous media via Karhunen-Loeve expansion
• An efficient numerical method of Landau-Brazovskii model
• Boundary treatments in non-equilibrium Green's function(NEGF) methods for quantum transport in nano-MOSFETs
• Crucial properties of the moment closure model FENE-QE
• Global existence of weak solutions to the regularized Hookean dumbbell model
• Numerical simulation of fluid membranes in two-dimensional space
• Numerical simulation of phase separation coupled with crystallization
• On the New Multiscale Rodlike Model of Polymeric Fluids
• Reflection/transmission characteristics of a dis-continuous Galerkin method for Maxwell's equations in dispersive inhomogeneous media
• Second-order accurate Godunov scheme for multicomponent flows on moving triangular meshes
• A cellular automaton technique for modelling of a binary dendritic growth with convection
• A kinetic-hydrodynamic simulation of microstructure of liquid crystal polymers in plane shear flow
• Analysis of the heterogeneous multiscale method for parabolic homogenization problems
• Continuum theory of a moving membrane
• High-order DGTD methods for dispersive Maxwell's equations and modeling of silver nanowire Coupling
• Level set calculations for incompressible two-phase flows on a dynamically adaptive grid
• Mathematical analysis of multi-scale models of complex fluids
• Non-equilibrium molecular-dynamics measurement of the Leslie coefficients of a Gay-Berne nematic liquid crystal
• Stable dynamic states at the nematic liquid crystals in weak shear flow
• Steady states and their stability of homogeneous rigid extended nematic polymers under imposed magnetic fields
• A Molecular Kinetic Theory of Inhomogeneous Liquid Crystal Flow and the Small Deborah Number Limit
• Convergence analysis of BCF method for Hookean dumb-bell model with finite difference scheme
• Local existence for the FENE-dumbbell model of polymeric fluids
• Model analysis and parameter extraction for MOS capacitor including quantum mechanical effects
• Modified models of polymer phase separation
• Moving mesh kinetic simulation for sheared rodlike polymers with high potential intensities
• Moving mesh methods for singular problems on a sphere using perturbed harmonic mappings
• Study of phase transition in homogeneous rigid extended nematics and magnetic suspensions using an order-reduction method
• Analysis of the heterogeneous multiscale method for elliptic homogenization problems
• Axial symmetry and classification of stationary solutions of Doi-Onsager equation on the sphere with Maier-Saupe potential
• Conservative local discontinuous Galerkin methods for time dependent Schrodinger equation
• Discontinuous Galerkin time domain(DGTD) methods for the study of 2-D waveguide-coupled microring resonators
• Discontinuous Galerkin time-domain method for GPR simulation in dispersive media
• Moving mesh finite element methods for the incompressible Navier-Stokes equations
• The structure of equilibrium solutions of one-dimensional Doi equation
• A new coupled model for alloy solidi cation Science in China series A-Mathematics
• A theoretical and numerical study for the rod-like model of a polymeric fluid
• Analysis of 1+1 dimensional stochastic models of liquid crystal polymer flows
• Discontinuous Galerkin methods for dispersive and lossy Maxwell's equations and PML boundary conditions
• Local existence for the dumbbell model of polymeric fluids
• Stochastic models of polymeric fluids at small Deborah number
• Well-posedness for the dumbbell model of polymeric fluids
• A kind of semi-roarsing AMG method for two dimensional energy equations with three temperatures
• An adaptive mesh redistribution method for nonlinear hamiltonian-jacobi equations in two- and three dimensions
• Multi-scale Methods for Inverse Modeling in 1-D Mos Capacitor
• A Moving Mesh Finite Element Algorithm for Sin-gular Problems for Two and Three Space Dimensions
• Convergence of a Boundary Integral Method for 3-D Water Waves
• Convergence of a stochastic method for the modeling of polymeric fluids
• Kinetic Theories for Flows of Nonhomogeneous Rodlike Liquid Crystalline Polymers with a Nonlocal Intermolecular Potential
• Numerical Studies of 2D Free Surface Waves with Fixed Bottom
• Singularity Formulation in Three-dimensional Vortex Sheets
• Stability of Boundary Integral Method for Water Wave
• A Mathematical Model of Soil Moisture Spatial Distribution on the Hill Slopes of the Loess Plateau
• A New Stability Technique for Boundary Integral Methods of Water Waves
• Analysis of Moving Mesh Methods Based on Geometrical Variables
• Moving Mesh Methods in Multiple Dimensions Based on Harmonic Maps
• Numerical Studies of Shallow Water Waves on Slopping Beach with Arti cial Boundary
• Simulating A Double Casting Technique Using Level Set Method
• Vanishing Curvature Viscosity for Front propagation
• Wavelet Method for Boundary Integral Equations
• Growth Rates for the Linearized Motion of 3-D Fluid Interfaces with Surface Tension Far from Equilibrium
• Convergence of vortex with boundary element methods
• Optimal L1 Rate of Convergence for Viscosity Method and Monotone Scheme to Piecewise Constant Solution with Shocks
• Convergence of the point vortex methods for Euler equation on half plane
• Convergence of vortex Methods in a bounded domain Using linear finite elements
• Well-posedness for linearizied motion of 3-D water waves far from equilibrium
• Computation of wavelet function
• Convergence of variable-elliptic-vortex method for Euler equations
• Convergence of vortex methods for Exterior problems
• Fully discrete convergence estimates for vortex methods in bounded domains
• On vortex methods for initial boundary problems
• A family of viscous splitting schemes for Navier-Stokes equations
• A sharp estimate of simplified viscosity splitting scheme
• A symmetrical viscous splitting schemes for Navier-Stokes equations
• Exterior problem for the three-Dimensional Euler equation
• Viscosity splitting with nonzero tangent boundary value
• Viscous splitting for the exterior problem of Navier-Stokes equations