SUSTech
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Mathematics
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Conference
中文
Computational & Applied Math Seminar
Jan 1-1, 1970
Conference Summary
流固耦合数值模拟 ——在心血管疾病治疗中的应用
A numerical study of 3-D droplets spreading on chemically patterned surfaces
Two-grid finite element method for the stabilization of mixed Stokes-Darcy model
Preconditioned Douglas-Rachford Splitting Method and Its Application for Variational Imaging Problem
Study of Rare Events in Noise Perturbed Hydrodynamics
Modeling of Advanced Material Structures by Nonlinear Differential Equations
Robust Hypothesis Testing for Asymmetric Nominal Densities under a Relative Entropy Tolerance
An absolutely stable hp-HDG method for the time-harmonic Maxwell equations with high wave number
Relaxation Limit of Interacting Shock waves for Non-Isentropic Gas Dynamics
Level-set based structured solution for geophysical imaging
Hierarchical Reconstruction Method for Solving ill-posed Linear Inverse Problems
A stable scheme for a 2D dynamic Q-tensor model of nematic liquid crystals
Mathematical analysis of plasmonic resonance for 2-D photonic crystal
Efficient stochastic collocation methods for uncertainty quantification
Stochastic Collocation methods via Compressive Sampling And Its Applications in UQ
Stochastic Collocation Algorithms Using L-Minimization for Bayesian Solution of Inverse Problems
轨道检测遇上大数据：问题与方法
异质信息网络分析与应用
A fully discrete method for nonlinear convection-diffusion equations
Local and parallel finite element algorithm based on the partition of unity for incompressible flows
An extrapolation cascadic multigrid method for solving 3D elliptic boundary value problems
A note on the Monge-ampere type equations with general source terms
Analysis of a Mixed Discontinuous Galerkin method for incompressible magnetohydrodynamic
Restarting accelerated gradient methods with a rough strong convexity estimate
曲面上的混合张量分析及其在线性和非线性弹性壳体的应用
Correction of high-order time stepping schemes for time-fractional diffusion problems
Multigrid methods for Maxwell’s equations and a fourth-order curl problem based on Hodge decomposition
A rigorous computer aided estimation for the Gelfond exponent of weighted Thue-Morse sequences.
Relative equilibria in geophysical flows
Some fast solvers for models of fluid flow, linear elasticity and poroelasticity
Investigation of the terrain spectra and its application in selection of grid spacing for weather forecast models in Sichuan, China
Primal-dual algorithms for the sum of two and three functions
Adaptive finite element method for incompressible magnetohydrodynamics
Mathematical Analysis and Numerical Methods for an Underground Oil Recovery Model
Convergence of numerical solutions of stochastic time-fractional PDEs
Maximal $L^p$-regularity of time discretization and finite element methods
Towards Breaking the Curse of Dimensionality: Sparse Polynomial and Reduced Basis Methods for Saddle Point Problems with Random Inputs
On progressive hedging algorithm and Douglas-Rachford operator splitting method for multistage stochastic variational inequalities
大数据与人工智能简介和应用案例分享
Decoupling the coupled Navier-Stokes and Darcy equations with realistic parameters
A coupled physics inverse problem in electro-seismic imaging
Asymptotic Preserving (AP) Methods for Compressible Euler and Shallow Water Equations
An efficient alternating direction method of multipliers for optimal control problems constrained by random Helmholtz equations
On PDE models for Asian option prices
Approach to the stationary solution existence proof for Navier-Stokes equation by using verified computing
Modeling Sediment Transport in Shallow Water
Discovering Interaction Laws from Observing Self-Organized Dynamics of Heterogeneous Agents
Data Reconstruction Algorithms: Stability
反散射问题中的若干数值方法
Iterative Regularization: from Estimation to Inference
Parameter-free superconvergent H(div)-conforming HDG methods for the Brinkman equations.
NONPARAXIAL NEAR-NONDIFFRACTING ACCELERATING OPTICAL BEAMS
Efficient schemes with unconditionally energy stabilities for gradient flow models with strong anisotropy: S-IEQ and S-SAV approaches
Conservative Explicit Local Time-stepping Schemes for the Shallow Water Equations
On Corner Scattering, Non-scattering Interrogating Waves and Penetrable Shape Determination by a Single Far-Field Pattern
Optimal control and importance sampling for diffusion process
An unconditionally energy stable scheme for inextensible interface problems with bending
An adaptive finite element method for cathodic protection
Fault Detection and Identification in Multi-component Manufacturing Processes
Scalable parallel methods for patient-specific blood flow simulations
Fourier approach to inverse source problems in the time domain
Use of Jordan forms for convection-pressure split Euler solvers
On New Variational Models for Selective Image Segmentation
Linear numerical schemes for epitaxial thin film growth model with energy stability
Extended Sampling Method in Inverse Scattering
Computing Integrals Involved Oscillatory Functions and Gaussian Function with a Small Standard Deviation
A stable partitioned FSI algorithm for incompressible flow and deforming beams
Serial Talks on Inverse Problems I: Localization and geometrization in wave scattering and applications
Serial Talks on Inverse Problems II: On magnetic anomaly detections (MAD) using geomagnetic monitoring
Serial Talks on Inverse Problems III: Inverse scattering approaches for gesture computing and body generation
Distributed consensus optimization algorithms over networks
Bound-Preserving Algorithms for Subsurface Multi-Phase Flow with Nonlinear and Linear Preconditioners
Strengths and limitations of deep learning
Reliable and Accurate Reconstruction of Neuronal Network Connectivity
Granger Causality in Biological Neural
Data assimilation with reduced basis and noisy measurement: Applications to nuclear reactor cores
Distributionally Robust Equilibrium: Modelling and Applications
MARS: An Analytic and Computational Framework for Incompressible Flows with Moving Boundaries
From Model Optimization to Interpretable and Collaborative Deep Learning
Second-order semi-implicit methods for Landau-Lifschitz equation
Randomized Kaczmarz Method for Linear Inverse Problems
A convergent evolving finite element algorithm for mean curvature flow of closed surfaces
Stretching of a highly viscous thread with temperature-dependent viscosity and surface tension
Linear-Quadratic-Gaussian Mixed Games with Input Constraint Involving Major Agent and Heterogeneous Minor Agents
The finite element method for coupling dual-porosity flow with free flow
Analysis of a Mixed Discontinuous Galerkin method for incompressible magnetohydrodynamics
Wave scattering problems in two-layered media: condition at infinity and numerical methods
Introduction to Bifurcation, Phase Transitions and Critical Phenomena I
Introduction to Bifurcation, Phase Transitions and Critical Phenomena II
Introduction to Bifurcation, Phase Transitions and Critical Phenomena III
A fast algorithm for electromagnetic scattering from axis-symmetric objects
Lower complexity bounds of first-order methods for convex-concave bilinear saddle-point problems
Fluorescence Ultrasound Modulated Optical Tomography in the Diffusive Regime
Trust-region Method Based on Inaccurate First-order Information
Efficient Numerical Methods for Quad Curl Problem and Fast Solvers
LQ控制的挑战、进展及其在网络控制中的应用
The Integral Equations with Oscillatory and Singular Kernels
Inexact proximal stochastic second-order methods for nonconvex composite optimization
Convection and stability in a coupled free flow-porous media system
Granular erosion in Stokes flow and anomalous surface waves
Selection dynamics for deep neural networks
Probabilistic Dimensionality Reduction via Structure Learning
Optimal Nonergodic Sublinear Convergence Rate of Proximal Point Algorithm for Maximal Monotone Inclusion Problems
New and Renovated Finite Elements for Elasticity
Two limit problems for the ion Euler-Poisson equation
Weak Solutions of Mean Field Game Master Equations
Algorithmic Development for Computing B-stationary Points of a Class of Nonsmooth DC Programs
Data driven image reconstruction: Nonlocal Bayesian inversion and Deep Learning splitting approach
Analysis of a mixed finite element method for the quad-curl problem
Finite Difference Methods for Space Fractional Diffusion Equations
A qd-type method for computing generalized singular values of BF matrix pairs with sign regularity to high relative accuracy
Structured sparse optimization in systems biology
Hausdorff dimension of limsup sets in Diophantine approximation
High order method for systems of conservation laws using continuous approximation of data
Optimization methods in applications I
Optimization methods in applications II
Heterogeneous and nonergodic diffusion: multiscale modelling and simulation
A convergent linearized Lagrange finite element method for the magneto-hydrodynamic equations in 2D nonsmooth and nonconvex domains
Numerical methods on random genetic drift
Optimization Techniques for Artificial Intelligence
Learning and Learning to Solve PDEs
A penalty function approach for deriving optimality conditions in bilevel optimization
Domain Decomposition method for the fully-mixed Stokes-Darcy coupled problem
Long-time accurate symmetrized implicit-explicit BDF methods for a class of parabolic equations with non-selfadjoint operators
Convex and Non-Convex Optimization in Image Recovery and Segmentation
What do the conserved quantities tell us? -- Wave-vortex interacting turbulence and Burgers turbulence
Total variation and phase field regularisations of an inverse problem with quasilinear magentostatic equations
High Performance Blood Flow Simulation Algorithms for Patient-specific Surgery Planning
Optimization by Space Transformation and Decomposition
Relations of Positivity Preservation to Divergence-Free Magnetic Field for Compressible MHD Systems
On recovery of a bounded elastic body by electromagnetic far-field measurements
Computing effective diffusivity of chaotic and stochastic flows using structure-preserving schemes
Parallelizable approaches for nonsmooth optimization problems with orthogonality constraints
On fractional asymptotical regularization for ill-posed inverse problems
Numerical analysis for variational and Hemi-variational inequality
Riemannian Proximal Gradient Methods
Anomalous scattering of light by subwavelength structures in metallic slabs
大数据人工智能时代基于整数规划的半自动–弱监督图像标注算法
Adaptive First-Order System Least-Squares Finite Element Methods for Second Order Elliptic Equations in Non-Divergence Form
Two Stage Fourth Order: Temporal-Spatial Coupling and Beyond in Computational Fluid Dynamics (CFD)
Efficient Nonlinear Optimal Smoothing and Sampling Algorithms for Complex Turbulent Nonlinear Dynamical Systems with Partial Observations
新冠病毒传播的动力学模型与实证数据分析
二阶变步长BDF格式的L2模分析
A data-driven approach for multiscale elliptic PDEs with random coefficients based on intrinsic dimension reduction
Exploring Redundancy and Robustness in Deep Neural Networks
Inverse moving source problem in acoustics
An inverse boundary value problem for a nonlinear elastic wave equation
A 3D phase-field method for multiscale simulation of the interaction between blood and thrombus in arterial vessels
A mixed finite element scheme for biharmonic equations with variable coefficient and von Karman equations
Finite element methods for the transmission eigenvalue problems
An iterative immersed finite element method for an electric potential interface problem based on given surface electric quantity
Onsager’s Variational Principle in Linear Irreversible Thermodynamics
Landscape analysis of non-convex optimizations in phase retrieval
Inverse scattering with incomplete data
Phase retrieval and its application in the inveres scattering problems
Shape reconstruction with sparse measurements
Stability and Convergence of Exponential Integrators for Semi-linear Delay Differential Equations
Application of Scalable Parallel Algorithm in Cardiovascular-Cerebrovascular Hemodynamics Simulation
Large Eddy Simulation Reduced Order Modeling
On Splitting Methods for the Dirac Equation in the Nonrelativistic Regime
Reduced-order Model Approach for Data-driven Uncertainty Quantification of Wave
Non-Lagrange Finite Element Approximations of Linear Elliptic Equations in Non-divergence Form and Hamilton-Jacobi- Bellman Equations with Cordes Coefficients
Numerical methods for thermally driven incompressible Magnetohydrodynamic problems
Stochastic Eulerian Lagrangian Method
Consistency of Archetypal Analysis
Deep Generative Model for Out-of-distribution Detection
Semi-implicit Galerkin Finite Element Method for Time-Dependent Nematic Liquid Crystal Flows
Nitsche’s type finite element methods for the Stokes-Darcy problems
Preconditioned Nesterov's accelerated gradient descent method and its applications for some nonlinear PDEs
Variational Gradient Flow for Deep Generative Learning
Convergence of A Second-order Energy-decaying Method for the Viscous Rotating
Recent Advances in Seismic Waveform Inversion
MATLAB金融数据分析与建模
Fast Algorithm for Convolution-type Potential Evaluation in Different Dimensions
Numerical methods for random Helmholtz problem
多孔结构双尺度设计优化
Superresolution Imaging Using Subwavelength Resonances
Distributed Optimization and Multi-agent Reinforcement Learning
Weak Galerkin method for the coupled Darcy–Stokes flow
An eXtended HDG Method for Darcy-Stokes-Brinkman Interface Problems
Mean-Variance Portfolio Management with Functional Optimization
Oversmooting Tikhonov regularization in Banach spaces
Numerical reconstruction of the spatial component in the source term of a time-fractional diffusion equation
Intrinsic Diophantine approximation on triadic Cantor set: a Mahler's question
Uncertainty quantification of deep neural networks
Stabilized Mixed Finite Element Method for the Convection-diffusion-reaction Equation on Surfaces
Stochastic Gradient Descent for Inverse Problems
Wavelet-based Edge Multiscale Finite Element Method for Helmholtz Problems in Perforated Do-mains
Justification of the PE diagram and singular limit
Global well-posedness of coupled parabolic systems Prof. Runzhang Xu
Quiver representations and persistent homology
Optimally Controlled Random Walk on High Dimensional Point Clouds for Rare Event Simulation
Semidefinite Relaxations for MIMO Detection: Tightness, Tighterness, and Beyond
MULTIPHYSICS FINITE ELEMENT METHOD FOR POROELASTICITY MODEL
Tikhonov regularizationgs: New trends and recent developments
A posteriori error estimation for solutions of ill-posed problems
Numerical Methods for PDEs on Surfaces
Are there pointwise stabilities of standard finite element projection on non-convex polyhedral domain in three dimensional space?
Gromov hyperbolic graphs with hierarchical structures
A New Tendency in Numerical Methods for Coefficient Inverse Problems
Numerical methods for random Helmholtz problem
退化Monge-Ampere方程的全局正则性研究
Random-Batch Ewald Method for Long-range Particle Systems
Local multiscale model reduction and applications
A bound-preserving high order scheme for variable density incompressible Navier-Stokes equations
Stability Analysis for Evolutionary Variational-Hemivariational lnequalities with Constraint Sets
A second-order stabilization method for linearizing and decoupling nonlinear parabolic systems
Two-scale fractal theory: A solution to nonlinearity
MULTIFREQUENCY ITERATIVE METHODS FOR THE INVERSE MEDIUM SCATTERING PROBLEMS IN ELASTICITY
An asymptotic-preserving IMEX method for nonlinear radiative transfer equation
Numerical Methods for Inverse chromatography problems
Fast algorithms for the electromagnetic scattering from a large cavity in three dimensions
Fourier method for reconstructing elastic body force from the coupled-wave field
Towards Efficient Computation for Ground State in Density Funcitonal Theory
Stochastic Approximation Methods for the Two-stage Stochastic Linear Complementarity Problem
多组分渗流精细数值模拟
Optimization and Inverse Problems
Meshfree methods for the fractional Laplacian and its applications
Asymptotic Property of Phaseless Total-Field Operators and Phaseless Inverse Scattering Problems
多项式方法在震荡积分中的应用
Localized resonance and its applications in imaging and cloaking
On the solutions of fractional-order weakly singular integro-partial differential equations with time and space daley
Scale-resolving high-order TENO schemes for hyperbolic conservation laws
On a model of surface imaging with double negative metamaterial
Fractional Calculus: History, applications and further directions
Two-phase segmentation for intensity inhomogeneous images by the Allen-Cahn Local Binary Fitting Model
A data-driven and model-based accelerated Hamiltonian Monte Carlo method for Bayesian elliptic inverse problems
Phase Field Modeling of Actomyosin Driven Cell Oscillations
On the Prandtl-Kolmogorov 1-Equation Model
Modeling, solution and applications based on Brinkman equation
Structure-preserving Parametric Finite Element Methods for Surface Diffusion
High order bound preserving methods for compressible multi-species flow with chemical reactions
Towards macroscopic liquid-crystal theory for general rigid molecules
An essentially oscillation-free discontinuous Galerkin method for hyperbolic conservation laws
Structure preserving finite difference WENO schemes on curvilinear meshes
Inverse Random Source Problems for Wave Equations
Error estimates and blow-up analysis of a finite-element approximation for the parabolic-elliptic Keller-Segel system
图神经网络及其应用
Generalized multiscale finite element method for single-phase compressible highly heterogeneous flow
High-Order and Reduced-Order Methods in Computational Fluid Dynamics
Arbitrary Order Structure Preserving Discontinuous Galerkin Methods for Euler Equations with Gravitation
An efficient unconditionally stable method for computing Dirichlet partitions in arbitrary domains
辐射输运方程的高效渐近保持蒙特卡罗算法
深度学习的理论探究
Efficient Solvers for Active Contour Models for multi-phase image segmentations
Computation of transmission eigenvalues by regularized Schur complement for the boundary integral operators
Hausdorff dimensional theory in continued fractions vs Diophantine approximation.
Applications on data driven dynamics in biological systems— -Domino-like transient dynamics at seizure onset in epilepsy
A novel inverse scattering scheme using interior resonant modes
Ergodicity of nonstationary stochastic processes
Unique reconstruction of bioluminescence tomography based on diffusion approximation equations
Recent Progress on Q^k Spectral Element Method: Accuracy, Monotonicity and Applications
On plasmon modes in multi-layer structures
时域荧光成像中的反问题
Global well-posedness of one class of new initial-boundary value problem on incompressible Navier-Stokes equations and the related models
Numerical Analysis of Diffusion Coefficient Identification in Elliptic and Parabolic Problems
Non-line-of-sight Imaging
Unifying Non-Convex Low-Rank Matrix Recovery Algorithms by Riemannian Gradient Descent
Relating lp regularization and reweighted l1 regularization
Co-recovery of an obstacle and its excitation sources from near-field scattering data
A reinterpreted discrete fracture model for fracture and barrier networks
新冠四级响应和动态清零的模型分析及风险评估
Convergence analysis of a fully discrete scheme for incompressible vector potential MHD systems
Transmission Dynamics of COVID-19 in Wuhan Revisited
Overlapping Schwarz Preconditioners for Biot Model
Error Estimates for Deep Learning Methods in Fluid Dynamics
Optimal Cell Average Decomposition for High-Order Bound-Preserving Schemes of Hyperbolic Conservation Laws
Convergence Analysis of Finite Element Method for Inverse Potential Problem
Hearing the shape of a drum revisited
Failure-informed adaptive sampling for PINNs
Positivity Preserving Limiters for Time-Implicit Higher Order Discontinuous Galerkin Discretizations
Parallel-in-time (PinT) algorithms for large-scale flow problems
Electrically controlled self-similar evolution of viscous fingering patterns
Learning Neural Operators for Complex Physical System Modeling
Inverse Random Scattering By Periodic Structures
A posteriori error estimator for weak Galerkin finite element method for Stokes problem using diagonalization techniques
Stability for an inverse source problem in an inhomogeneous medium
DeepParticle: learning invariant measure by a deep neural network minimizing Wasserstein distance on data generated from an interacting particle method
基于神经动力学方法的区间值优化问题分析与求解
Global Well-posedness of Incompressible Elastodynamics equations
The Shigesada–Kawasaki–Teramoto Cross-Diffusion System Beyond Detailed Balance
Global solutions to maximal timelike submanifold with large data
Optimal Control Problem and Machine Learning Algorithm: Eulerian and Lagrangian Viewpoints
Lons transport inside nanomaterials using PNP-type equations
A level-set immersed interface method for simulating the electrohydrodynamics
On the stochastic asymptotical regularization for inverse problems
差分隐私方法在联邦学习和迁移学习中的应用
Convergence of renormalized finite element methods for heat flow of harmonic maps
NUMERICAL STUDY INTO STOCK MARKET CRISES BASED ON MEAN FIELD GAMES APPROACH
Structure-preserving methods based on minimizing movement scheme for gradient flows with respect to transport distances
A priori error analysis and greedy training algorithms for neural networks solving PDEs
基于机器学习的非嵌入式降阶建模和气动力预测
Uniqueness and numerical methods for inverse source problems in a time fractional diffusion equation
Speech signal processing in multi-speaker environments: problems, modelings, and assessment
Geometric Structures of Transmission Eigenfunctions and Super-resolution Imaging
Deep neural networks for inverse scattering problems
An efficient and accurate neural networkmethod for elliptic interface problems andapplications
Shape reconstructions by using plasmon resonances with enhanced sensitivity
The springback penalty for robust signal recovery
Computational Problems Related to Variable Annuities
A relaxation model for Cauchy problem of elliptic equations
Extensions of some integrable systems and their molecule solutions
Some theoretical results for time-domain fluorescence diffuse optical tomography
Acceleration of self-consistent field iteration for electronic structure calculations
An Arbitrarily High Order Unfitted Finite Element Method for Elliptic Interface Problems with Automatic Mesh Generation
使用动态观测点求解不连续热源
large-deformation poroelasticity, models, algorithms, and applications
Mathematical Analysis for Inverse Problems for Fractional Diffusion Equations
自适应多保真代理模型构造方法及其应用
Inverse problems for diffusion equations with discontinuous diffusion coefficients
A direct sampling method for imaging periodic obstacles with electromagnetic plane wave
Spectral properties of an acoustic-elastic transmission eigenvalue problem with applications
A Mathematical Theory of Computational Resolution Limit
Adaptive algorithms for electromagnetic coefficient inverse problem in conductive media
Generative models for speech processing
Optimization Models and Approaches for Strictly Correlated Electrons
Uniqueness and numerical methods for the inverse scattering by a locally rough surface with buried obstacles
An improved projection method and its application to quasiperiodic Schrödinger eigenproblems
磁流体动力学模型计算的研究进展和挑战
Inverse and imaging problems based on learning-informed differential equations and their applications
Microscale hydrodynamic cloaking and shielding for electro-osmotic model
PID控制的理论基础与设计方法
Learning prediction function of prior measures for statistical inverse problems
Hydrodynamic cloaking and shielding by using multi-layer microfluidic structures
Regularization Methods for Dynamic System Identification： Asymptotic Optimality
Error Estimates of the Finite Element Method for Interior Transmission Problem and Interior Transmission Eigenvalue Problem
Sparse reconstructions of acoustic sources by semismooth Newton methods with boundary measurements
On the Modelling and Analysis of Grounded Shallow Ice Sheets Melting
Hybrid Projection Methods for Solution Decomposition in Large-scale Bayesian Inverse Problems
Leveraging low-dimensional structures in structure-preserving machine learning for dynamical systems
Approximating Shape Gradients
Hybrid kinetic-diffusive Monte Carlo method in nuclear fusion simulation
Sediment Concentration Estimation via Multiscale Inverse Problem and Stochastic Homogenization
Stochastic iterative regularization method for linear inverse problems
Deep asymptotic expansion method for solving singularly perturbed time-dependent reaction-advection-diffusion equations
Efficient Algorithms for A Linear Thermo-Poroelastic Model
Well-Balanced PAMPA Methods for Shallow Water Models
Analysis of Diffuse Interface Models for Incompressible Two-phase Flows with Surfactant
Optimal convergence of the arbitrary Lagrangian–Eulerian interface tracking method for two-phase Navier–Stokes flow without surface tension
深度学习方法求解扩散方程的反源问题
The electromagnetic wave generated by a cluster of high-contrast nanoparticles, with application to inverse problems
Shape reconstruction with sparse measurements
Abstract: In many practival applications, the measurements are only avaiable at finitely many sensors. This talk forcus on what can we obtain with these data. Some open problems well be mentioned.