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
- A New Dual Semismooth Newton Method for Polyhedral Projections
- Efficient Structured Data Recovery in Phase Retrieval and Matrix Completion
Mathematical analysis of plasmonic resonance for 2-D photonic crystal
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Department of Mathematics, SUSTech