yusuke1997/dblp-id-title huggingface dataset:
A Structure-Preserving Parametric Finite Element Method for Area-Conserved Generalized Curvature Flow
Flux Globalization Based Well-Balanced Central-Upwind Schemes for Hydrodynamic Equations with General Free Energy
Numerical Method for Solving Discontinuous Initial/Final-Value Problems
An Explicit Divergence-Free DG Method for Incompressible Magnetohydrodynamics
Alternating Direction Implicit Galerkin Methods for an Evolution Equation with a Positive-Type Memory Term
A Semi-Lagrangian Method for a Fokker-Planck Equation Describing Fiber Dynamics
A Second-Order Operator Splitting Fourier Spectral Method for Models of Epitaxial Thin Film Growth
Thiele Rational Interpolation for the Numerical Computation of the Reversible Randles-Sevcik Function in Electrochemistry
A New Projection-Based Stabilized Virtual Element Method for the Stokes Problem
A Local Minimax Method Using Virtual Geometric Objects: Part I - For Finding Saddles
High-Order Well-Balanced Methods for the Euler Equations of Gas Dynamics with Gravitational Forces and the Ripa Model
Energy Stability and Maximum Principle of Skeletal Finite Element Method for Allen-Cahn Equation with Exponential Time Differencing Schemes
A Scalable Space-Time Domain Decomposition Approach for Solving Large Scale Nonlinear Regularized Inverse Ill Posed Problems in 4D Variational Data Assimilation
A Robust Multigrid Algorithm for the Simulation of a Yawed Flat Plate
Pricing Discretely Monitored Asian Options Under Regime-Switching and Stochastic Volatility Models with Jumps
A Combined Large-Eddy Simulation and Time-Dependent RANS Capability for High-Speed Compressible Flows
Operator Inference of Non-Markovian Terms for Learning Reduced Models from Partially Observed State Trajectories
Numerical Algorithms for the Forward and Backward Fractional Feynman-Kac Equations
An Implicit-Explicit Second-Order BDF Numerical Scheme with Variable Steps for Gradient Flows
TVD Fluxes for the High-Order ADER Schemes
A High-Order Kernel-Free Boundary Integral Method for the Biharmonic Equation on Irregular Domains
An hp -local Discontinuous Galerkin Method for Parabolic Integro-Differential Equations
An Adaptive P 1 Finite Element Method for Two-Dimensional Maxwell's Equations
Virtual Element Method for a History-Dependent Variational-Hemivariational Inequality in Contact Problems
An Ordered Upwind Method with Precomputed Stencil and Monotone Node Acceptance for Solving Static Convex Hamilton-Jacobi Equations
Fifth-Order Weighted Power-ENO Schemes for Hamilton-Jacobi Equations
Subgradient Extragradient Method with Double Inertial Steps for Variational Inequalities
Retraction Note to: Model Order Reduction Method Based on Machine Learning for Parameterized Time-Dependent Partial Differential Equations
On the Connections Between Discontinuous Galerkin and Flux Reconstruction Schemes: Extension to Curvilinear Meshes
An h-Adaptive Local Discontinuous Galerkin Method for Simulating Wormhole Propagation with Darcy-Forcheiner Model
Richardson Extrapolation on Some Recent Numerical Quadrature Formulas for Singular and Hypersingular Integrals and Its Study of Stability
An Efficient Preconditioner for Evolutionary Partial Differential Equations with θ-Method in Time Discretization
Spectral Hermite Approximations for the Actively Mode-Locked Laser
Global Convergence of Unmodified 3-Block ADMM for a Class of Convex Minimization Problems
The Gradient Descent Method for the Convexification to Solve Boundary Value Problems of Quasi-Linear PDEs and a Coefficient Inverse Problem
Error Analysis of a First-Order DoD Cut Cell Method for 2D Unsteady Advection
A viscoelastic Timoshenko Beam Model: Regularity and Numerical Approximation
Computation of Minimum Energy Paths for Quasi-Linear Problems
Stabilized Energy Factorization Approach for Allen-Cahn Equation with Logarithmic Flory-Huggins Potential
Manifold Based Low-Rank Regularization for Image Restoration and Semi-Supervised Learning
The Temporal Second Order Difference Schemes Based on the Interpolation Approximation for the Time Multi-term Fractional Wave Equation
WENO Schemes and Their Application as Limiters for RKDG Methods Based on Trigonometric Approximation Spaces
Discretization of a Distributed Optimal Control Problem with a Stochastic Parabolic Equation Driven by Multiplicative Noise
A Quasi-Conservative Discontinuous Galerkin Method for Solving Five Equation Model of Compressible Two-Medium Flows
Stability of Some Generalized Godunov Schemes With Linear High-Order Reconstructions
Optimal Quasi-diagonal Preconditioners for Pseudodifferential Operators of Order Minus Two
Fourth-Order Runge-Kutta Schemes for Fluid Mechanics Applications
An Asymptotic Preserving and Energy Stable Scheme for the Barotropic Euler System in the Incompressible Limit
Parallel Simulations of Dynamic Fracture Using Extrinsic Cohesive Elements
Solving Elliptic PDE's on Domains with Curved Boundaries with an Immersed Penalized Boundary Method
Well-Balanced Fifth-Order Finite Volume WENO Schemes with Constant Subtraction Technique for Shallow Water Equations
Semi-analytical Time Differencing Methods for Stiff Problems
Efficient Color Image Segmentation via Quaternion-based L 1/L 2 Regularization
A Legendre Pseudospectral Penalty Scheme for Solving Time-Domain Maxwell's Equations
A High-Order Two-Grid Difference Method for Nonlinear Time-Fractional Biharmonic Problems and Its Unconditional α-Robust Error Estimates
Efficient Stochastic Galerkin Methods for Maxwell's Equations with Random Inputs
Robust a Posteriori Error Estimates for Conforming Discretizations of Diffusion Problems with Discontinuous Coefficients on Anisotropic Meshes
Fast Cadzow's Algorithm and a Gradient Variant
A Posteriori Error Estimates for Elliptic Eigenvalue Problems Using Auxiliary Subspace Techniques
An HDG Method for the Time-dependent Drift-Diffusion Model of Semiconductor Devices
A Fast Discontinuous Galerkin Method for a Bond-Based Linear Peridynamic Model Discretized on a Locally Refined Composite Mesh
Linear High-Order Energy-Preserving Schemes for the Nonlinear Schrödinger Equation with Wave Operator Using the Scalar Auxiliary Variable Approach
Phase Appearance or Disappearance in Two-Phase Flows
Image Approximations to Electrostatic Potentials in Layered Electrolytes/Dielectrics and an Ion-Channel Model
Randomized Methods for Computing Optimal Transport Without Regularization and Their Convergence Analysis
High Accuracy Compact Schemes and Gibbs' Phenomenon
Second Order Conformal Symplectic Schemes for Damped Hamiltonian Systems
Tokamak Free-Boundary Plasma Equilibrium Computations in Presence of Non-Linear Materials
Mixed FEM for Time-Fractional Diffusion Problems with Time-Dependent Coefficients
A Weak Galerkin Method with an Over-Relaxed Stabilization for Low Regularity Elliptic Problems
Strong Stability Preserving Properties of Composition Runge-Kutta Schemes
The Construction and Optimal Error Analysis of Explicit Energy-Preserving Methods for Charged Particle Dynamics Under Strong Magnetic Field
A Fast Finite Difference Method for Three-Dimensional Time-Dependent Space-Fractional Diffusion Equations with Fractional Derivative Boundary Conditions
Calibration-Based ALE Model Order Reduction for Hyperbolic Problems with Self-Similar Travelling Discontinuities
Mathematical and Numerical Aspects of a Phase-field Approach to Critical Nuclei Morphology in Solids
Energy Stable Semi-implicit Schemes for Allen-Cahn-Ohta-Kawasaki Model in Binary System
Adaptive HDG Methods for the Steady-State Incompressible Navier-Stokes Equations
Optimal Error Estimates of Two Mixed Finite Element Methods for Parabolic Integro-Differential Equations with Nonsmooth Initial Data
Conforming and Nonconforming Virtual Element Methods for Signorini Problems
Direct Numerical Simulation in a Lid-Driven Cubical Cavity at High Reynolds Number by a Chebyshev Spectral Method
A Stable Parametric Finite Element Discretization of Two-Phase Navier-Stokes Flow
Finite Element Calculation of Photonic Band Structures for Frequency Dependent Materials
Analysis of a Pressure-Robust Hybridized Discontinuous Galerkin Method for the Stationary Navier-Stokes Equations
Supercloseness of Primal-Dual Galerkin Approximations for Second Order Elliptic Problems
Numerical Simulation of Stefan Problem Coupled with Mass Transport in a Binary System Through XFEM/Level Set Method
Variational Models for Joint Subsampling and Reconstruction of Turbulence-Degraded Images
Radial Slit Maps of Bounded Multiply Connected Regions
A Barzilai-Borwein-Like Iterative Half Thresholding Algorithm for the L 1/2 Regularized Problem
An Adaptive Dynamical Low Rank Method for the Nonlinear Boltzmann Equation
Statistical Density Estimation Using Threshold Dynamics for Geometric Motion
Analysis of Discontinuous Bubble Immersed Finite Element Methods for Elliptic Interface Problems with Nonhomogeneous Interface Conditions
A Pointwise Divergence-Free Spectral Element Method for 3D Spherical Dynamo Equations
Transformation Methods for the Numerical Integration of Three-Dimensional Singular Functions
A Decoupled Structure Preserving Scheme for the Poisson-Nernst-Planck Navier-Stokes Equations and its Error Analysis
Robustness of a Spline Element Method with Constraints
Efficient Solution of A, x (k) = b (k) Using A -1
A Nonconforming Finite Element Method with the Use of Nitsche's Technique for a Strain Gradient Elastic Model
A Finite Element Method with Strong Mass Conservation for Biot's Linear Consolidation Model
An Asymptotic Preserving Scheme for the ES-BGK Model of the Boltzmann Equation
Runge-Kutta Discontinuous Galerkin Method for Traffic Flow Model on Networks
High-Order Embedded Finite Difference Schemes for Initial Boundary Value Problems on Time Dependent Irregular Domains
Numerical Modeling of Degenerate Equations in Porous Media Flow
Multiscale Finite Element Methods for an Elliptic Optimal Control Problem with Rough Coefficients
Computing the First Eigenpair of the p-Laplacian via Inverse Iteration of Sublinear Supersolutions
Virtual Element Methods for Elliptic Variational Inequalities of the Second Kind
Solving Non-linear Kolmogorov Equations in Large Dimensions by Using Deep Learning: A Numerical Comparison of Discretization Schemes
A New Adaptation Strategy for Multi-resolution Method
Simulating Plasma Microwave Diagnostics
A Least-Squares Method for the Solution of the Non-smooth Prescribed Jacobian Equation
Global Convergence in Learning Fully-Connected ReLU Networks Via Un-rectifying Based on the Augmented Lagrangian Approach
Hybrid Well-balanced WENO Schemes with Different Indicators for Shallow Water Equations
Discretization Error Cancellation in the Plane-Wave Approximation of Periodic Hamiltonians with Coulomb Singularities
High-order energy stable algorithm for time-fractional Swift-Hohenberg model on graded meshes
Fourth-Order Accurate Compact Scheme for First-Order Maxwell's Equations
Fast High-Order Compact Exponential Time Differencing Runge-Kutta Methods for Second-Order Semilinear Parabolic Equations
A 5-Wave Relaxation Solver for the Shallow Water MHD System
Accurate Eigenvalues of Some Generalized Sign Regular Matrices via Relatively Robust Representations
Computing Volume Bounds of Inclusions by Eit Measurements
Optimal Error Estimates for Chebyshev Approximations of Functions with Endpoint Singularities in Fractional Spaces
Stability of Overintegration Methods for Nodal Discontinuous Galerkin Spectral Element Methods
Robust Approximation Algorithms for the Detection of Attraction Basins in Dynamical Systems
A Family of Energy Stable, Skew-Symmetric Finite Difference Schemes on Collocated Grids - A Simple Way to Avoid Odd-Even Decoupling
An Unfitted Finite Element Method by Direct Extension for Elliptic Problems on Domains with Curved Boundaries and Interfaces
Unconditional Superconvergence Analysis for Nonlinear Parabolic Equation with EQ 1 rot Nonconforming Finite Element
An Efficient Implicit Compact Streamfunction Velocity Formulation of Two Dimensional Flows
Filtered Hyperbolic Moment Method for the Vlasov Equation
Pole Recovery From Noisy Data on Imaginary Axis
Anisotropic Weakly Over-Penalised Symmetric Interior Penalty Method for the Stokes Equation
Fractional Sensitivity Equation Method: Application to Fractional Model Construction
Hybridized Discontinuous Galerkin Methods for Wave Propagation
Compact Alternating Direction Implicit Scheme for Integro-Differential Equations of Parabolic Type
Low-Rank Tensor Completion Based on Log-Det Rank Approximation and Matrix Factorization
Efficient MFS Algorithms for Inhomogeneous Polyharmonic Problems
Discontinuous Galerkin Methods for a First-Order Semi-Linear Hyperbolic Continuum Model of a Topological Resonator Dimer Array
Enhanced Coercivity for Pure Advection and Advection-Diffusion Problems
Numerical Simulations of a Dispersive Model Approximating Free-Surface Euler Equations
Kinetic Modeling of Local Epidemic Spread and Its Simulation
Artificial Viscosity to Get Both Robustness and Discrete Entropy Inequalities
Visualization and Genetic Algorithms in Minimax Theory for Nonlinear Functionals
Supercloseness Error Estimates for the Div Least-Squares Finite Element Method on Elliptic Problems
Moreau Envelope Augmented Lagrangian Method for Nonconvex Optimization with Linear Constraints
A Hybrid Second Order Scheme for Shallow Water Flows
Convergence Rates of Monotone Schemes for Conservation Laws for Data with Unbounded Total Variation
The Convergence Analysis of Semi- and Fully-Discrete Projection-Decoupling Schemes for the Generalized Newtonian Models
The Linear Barycentric Rational Method for a Class of Delay Volterra Integro-Differential Equations
Optimal A Priori Error Estimates for Elliptic Interface Problems: Weak Galerkin Mixed Finite Element Approximations
Sweeping Preconditioners for the Iterative Solution of Quasiperiodic Helmholtz Transmission Problems in Layered Media
An Equilibrated Fluxes Approach to the Certified Descent Algorithm for Shape Optimization Using Conforming Finite Element and Discontinuous Galerkin Discretizations
Jacobi Polynomials on the Bernstein Ellipse
Convergence of Relaxed Inertial Subgradient Extragradient Methods for Quasimonotone Variational Inequality Problems
A Minimization Approach for Constructing Generalized Barycentric Coordinates and Its Computation
A Note on the Ladyženskaja-Babuška-Brezzi Condition
Indirect Boundary Integral Equation Method for the Cauchy Problem of the Laplace Equation
Spectral Polynomial Chaos Solutions of the Stochastic Advection Equation
Computation of Dendritic Growth with Level Set Model Using a Multi-Mesh Adaptive Finite Element Method
Numerical Algorithms with High Spatial Accuracy for the Fourth-Order Fractional Sub-Diffusion Equations with the First Dirichlet Boundary Conditions
Modified Optimal Prediction and its Application to a Particle-Method Problem
A Parallel Domain Decomposition Method for 3D Unsteady Incompressible Flows at High Reynolds Number
Spectral Versus Pseudospectral Solutions of the Wave Equation by Waveform Relaxation Methods
A Priori Error Analysis for Time-Stepping Discontinuous Galerkin Finite Element Approximation of Time Fractional Optimal Control Problem
Locally Implicit Time Integration Strategies in a Discontinuous Galerkin Method for Maxwell's Equations
Partitioned and Implicit-Explicit General Linear Methods for Ordinary Differential Equations
Learning the Hub Graphical Lasso Model with the Structured Sparsity via an Efficient Algorithm
An Eulerian Formulation for Solving Partial Differential Equations Along a Moving Interface
Recovering Exponential Accuracy from Non-harmonic Fourier Data Through Spectral Reprojection
An Example of High Order Residual Distribution Scheme Using non-Lagrange Elements
Simulation of THz Oscillations in Semiconductor Devices Based on Balance Equations
Implicit Multiderivative Collocation Solvers for Linear Partial Differential Equations with Discontinuous Galerkin Spatial Discretizations
A Second-Order Fast Huygens Sweeping Method for Time-Dependent Schrödinger Equations with Perfectly Matched Layers
'Perfectly' Scalable Data I/O
Spectral Method for Fourth-Order Problems on Quadrilaterals
High Order Conservative Schemes for the Generalized Benjamin-Ono Equation on the Unbounded Domain
Theoretical Analysis of Canonical Midpoint Splitting Method for Stiff Functional Differential-Algebraic Equations
Unified Analysis of Leap-Frog Methods for Solving Time-Domain Maxwell's Equations in Dispersive Media
A Posteriori Error Estimates of Recovery Type for Distributed Convex Optimal Control Problems
Large-Scale Bayesian Optimal Experimental Design with Derivative-Informed Projected Neural Network
Entropy Conservative Schemes and the Receding Flow Problem
Stabilized Exponential-SAV Schemes Preserving Energy Dissipation Law and Maximum Bound Principle for The Allen-Cahn Type Equations
Edge-Averaged Virtual Element Methods for Convection-Diffusion and Convection-Dominated Problems
Efficient, Positive, and Energy Stable Schemes for Multi-D Poisson-Nernst-Planck Systems
Many-Stage Optimal Stabilized Runge-Kutta Methods for Hyperbolic Partial Differential Equations
Positivity-Preserving Well-Balanced Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Methods for the Shallow Water Equations
A Study of Viscous Flux Formulations for a p-Multigrid Spectral Volume Navier Stokes Solver
Analysis and Approximation of a Vorticity-Velocity-Pressure Formulation for the Oseen Equations
The Local Discontinuous Galerkin Method for the Fourth-Order Euler-Bernoulli Partial Differential Equation in One Space Dimension. Part II: A Posteriori Error Estimation
Adaptive Mesh Refinement for Hyperbolic Systems Based on Third-Order Compact WENO Reconstruction
Erratum to: A Tailored Finite Point Method for Convection-Diffusion-Reaction Problems
A Comprehensive Deep Learning-Based Approach to Reduced Order Modeling of Nonlinear Time-Dependent Parametrized PDEs
Correction to: Well-Balanced Fifth-Order Finite Volume WENO Schemes with Constant Subtraction Technique for Shallow Water Equations
Solving Stable Sylvester Equations via Rational Iterative Schemes
Staggered DG Method with Small Edges for Darcy Flows in Fractured Porous Media
Numerical Solutions of a Nonlinear Evolution System with Small Dissipation on Parallel Processors
A Frequency-Domain Approach for the P 1 Approximation of Time-Dependent Radiative Transfer
An Improved Sharp Interface Method for Viscoelastic and Viscous Two-Phase Flows
Orthogonal Iterations on Companion-Like Pencils
A Third-Order Unconditionally Positivity-Preserving Scheme for Production-Destruction Equations with Applications to Non-equilibrium Flows
An Essential Seventh-Order Weighted Compact Adaptive Scheme for Hyperbolic Conservation Laws
An Efficient Numerical Algorithm for the Model Describing the Competition Between Super- and Sub-diffusions Driven by Fractional Brownian Sheet Noise
Curvature-Aware Derivative-Free Optimization
A HDG Method for Elliptic Problems with Integral Boundary Condition: Theory and Applications
Numerical Solution of Monge-Kantorovich Equations via a Dynamic Formulation
Parameter Optimization and Reduction of Round Off Error for the Gegenbauer Reconstruction Method
Analysis of Robust Hybridized Discontinuous Galerkin Methods for Viscoacoustic Wave Equations
A Fifth (Six) Order Accurate, Three-Point Compact Finite Difference Scheme for the Numerical Solution of Sixth Order Boundary Value Problems on Geometric Meshes
Edge Detection by Adaptive Splitting II. The Three-Dimensional Case
Non-negative Sparse Recovery via Momentum-Boosted Adaptive Thresholding Algorithm
Parallelization of the Exponential Time Differencing Method for Solving Diffuse-Interface Models
Efficient Alternating Least Squares Algorithms for Low Multilinear Rank Approximation of Tensors
Optimal Quadrature Formulas for the Sobolev Space $$H^1$$ H 1
High Order Semi-Lagrangian Methods for the Incompressible Navier-Stokes Equations
A Posteriori Analysis for a Mixed FEM Discretization of the Linear Elasticity Spectral Problem
Maximum-Principle-Satisfying and Positivity-Preserving High Order Discontinuous Galerkin Schemes for Conservation Laws on Triangular Meshes
Entropy Stable Numerical Schemes for Two-Fluid Plasma Equations
An Interior Point Parameterized Central Path Following Algorithm for Linearly Constrained Convex Programming
Domain Decomposition Method and High-Order Absorbing Boundary Conditions for the Numerical Simulation of the Time Dependent Schrödinger Equation with Ionization and Recombination by Intense Electric Field
Bubble Stabilization of Spectral Methods: The Multidimensional Case
Analysis of the Staggered DG Method for the Quasi-Newtonian Stokes flows
Multirate Explicit Adams Methods for Time Integration of Conservation Laws
A New Rotated Nonconforming Quadrilateral Element
Unconditionally Stable and Convergent Difference Scheme for Superdiffusion with Extrapolation
On Convergence Rates of Proximal Alternating Direction Method of Multipliers
Dynamic simulation of grain boundary migration
Numerical Approximation of Second-Order Elliptic Problems in Unbounded Domains
A Fractional Order Collocation Method for Second Kind Volterra Integral Equations with Weakly Singular Kernels
A Multi-modes Monte Carlo Interior Penalty Discontinuous Galerkin Method for the Time-Harmonic Maxwell's Equations with Random Coefficients
Algorithmic Patterns for $$\mathcal {H}$$ H -Matrices on Many-Core Processors
Inverses of SBP-SAT Finite Difference Operators Approximating the First and Second Derivative
Optimal Error Estimates for Gegenbauer Approximations in Fractional Spaces
Optimal Error Analysis of Galerkin FEMs for Nonlinear Joule Heating Equations
Surface Reconstruction From Point Cloud using a Semi-Lagrangian Scheme with Local Interpolator
Simple Finite Element Numerical Simulation of Incompressible Flow Over Non-rectangular Domains and the Super-Convergence Analysis
Efficient Algorithms for the Line-SIAC Filter
Locking-Free and Locally-Conservative Enriched Galerkin Method for Poroelasticity
A class of multiple time scale algorithms for simulating power system frequency dynamics
Computations of Explosive Boiling in Microgravity
Numerical Analysis of Two-Dimensional Time-Fractional Allen-Cahn Equation on a New Non-uniform Mesh Construction Strategy
Matrix Stability of Multiquadric Radial Basis Function Methods for Hyperbolic Equations with Uniform Centers
Kinetic Functions for Nonclassical Shocks, Entropy Stability, and Discrete Summation by Parts
New Analysis of Galerkin FEMs for Miscible Displacement in Porous Media
Gradient-Based Monte Carlo Methods for Relaxation Approximations of Hyperbolic Conservation Laws
Lossy Compression in Optimal Control of Cardiac Defibrillation
Higher-Order TV Methods - Enhancement via Bregman Iteration
Parameter Range Reduction in Ordinary Differential Equation Models
Analysis of Fully Discrete Approximations for Dissipative Systems and Application to Time-Dependent Nonlocal Diffusion Problems
Multi-Dimensional Image Recovery via Fully-Connected Tensor Network Decomposition Under the Learnable Transforms
Optimal Energy Conserving Local Discontinuous Galerkin Methods for Elastodynamics: Semi and Fully Discrete Error Analysis
AMF-TASE W-Methods and PDE-Convergence in Euclidean Norm for Linear Parabolic Problems
An Adaptive SDG Method for the Stokes System
Derivation of Strictly Stable High Order Difference Approximations for Variable-Coefficient PDE
Multi-dimensional Scaling from K-Nearest Neighbourhood Distances
Unconditionally Energy Stable Linear Schemes for the Diffuse Interface Model with Peng-Robinson Equation of State
Computation Algorithm for Convex Semi-infinite Program with Second-Order Cones: Special Analyses for Affine and Quadratic Case
Positivity Preserving Exponential Integrators for Differential Riccati Equations
Unconditional Optimal Error Estimates of Linearized, Decoupled and Conservative Galerkin FEMs for the Klein-Gordon-Schrödinger Equation
Entropy Stable Finite Difference Schemes for Chew, Goldberger and Low Anisotropic Plasma Flow Equations
A Fourth Order Accurate Finite Difference Scheme for the Elastic Wave Equation in Second Order Formulation
Theoretical and Numerical Investigation of the Finite Cell Method
Reconstruction of Piecewise Smooth Functions from Non-uniform Grid Point Data