Communications in Computational Physics

Article	Citations
Mandelic Acid Single-Crystal Growth: Experiments VS Numerical Simulations	32
Asymptotic-Preserving Discretization of Three-Dimensional Plasma Fluid Models	24
Capturing Vertical Information in Radially Symmetric Flow Using Hyperbolic Shallow Water Moment Equations	22
On the Solution Accuracy Downstream of Shocks When Using Godunov-Type Schemes. I. Sources of Errors in One-Dimensional Problems	20
An Improved Diffuse-Interface Lattice Boltzmann Method for Particulate Flows	19
A Multiscale Algorithm to Drastically Reduce Computational Times When Simulating Liquid/Solid Interaction at Atomic Resolution with Realistic Hydrodynamics Effects	18
Convergence Analysis of PINNs with Over-Parameterization	18
High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes	17
A Third Order Bound-Preserving Nodal Discontinuous Galerkin Method for Miscible Displacements in Porous Media	16
Monotonicity Correction for the Finite Element Method of Anisotropic Diffusion Problems	16
An Efficient Numerical Algorithm for Solving Coupled Time-Dependent Ginzburg-Landau Equation for Superconductivity and Elasticity	15
Splitting Physics-Informed Neural Networks for Inferring the Dynamics of Integer- and Fractional-Order Neuron Models	15
Numerical Integrators for Dispersion-Managed KdV Equation	15
Thermal Regulation in Thin Vascular Systems: A Sensitivity Analysis	14
A Simulation Approach Including Underresolved Scales for Two-Component Fluid Flows in Multiscale Porous Structures	14
Adaptive Ensemble Kalman Inversion with Statistical Linearization	14
A Priori Subcell Limiting Approach for the FR/CPR Method on Unstructured Meshes	14
A Unifying Moving Mesh Method for Curves, Surfaces, and Domains Based on Mesh Equidistribution and Alignment	12
A Conservative and Monotone Characteristic Finite Element Solver for Three-Dimensional Transport and Incompressible Navier-Stokes Equations on Unstructured Grids	12
Tree-Based Implementation of the Small Matrix Path Integral for System-Bath Dynamics	12
Dynamical Demixing of a Binary Mixture Under Sedimentation	12
A Kolmogorov High Order Deep Neural Network for High Frequency Partial Differential Equations in High Dimensions	11
A New Upwind Finite Volume Element Method for Convection-Diffusion-Reaction Problems on Quadrilateral Meshes	11
Geometric Decomposition and Efficient Implementation of High Order Face and Edge Elements	11
Dimension-Free Ergodicity of Path Integral Molecular Dynamics	11

Application of MUSIC Algorithm for Object Localization Without Diagonal Elements of Multi-Static Response Matrix	10
A 2D Fourth-Order CESE Scheme for Solving the Ideal MHD Equations	10
A Second-Order Length-Preserving and Unconditionally Energy Stable Rotational Discrete Gradient Method for Oseen-Frank Gradient Flows	10
Modeling of Bound Electron Effects in Particle-in-Cell Simulation	10
Kinetic Slip Boundary Condition for Isothermal Rarefied Gas Flows Through Static Non-Planar Geometries Based on the Regularized Lattice-Boltzmann Method	9
Stabilized Continuous Linear Element Method for the Biharmonic Problems	9
A Parallel Domain Decomposition Method for the Fully-Mixed Stokes-Dual-Permeability Fluid Flow Model with Beavers-Joseph Interface Conditions	9
High Order Deep Neural Network for Solving High Frequency Partial Differential Equations	8
A Mixed Finite Element Scheme for Biharmonic Equation with Variable Coefficient and von Kármán Equations	8
A Simple GPU Implementation of Spectral-Element Methods for Solving 3D Poisson Type Equations on Rectangular Domains and Its Applications	8
The Lowest-Order Stabilized Virtual Element Method for the Stokes Problem	8
Active Nematodynamics on Curved Surfaces – The Influence of Geometric Forces on Motion Patterns of Topological Defects	8
A Noise and Vibration Tolerant ResNet for Field Reconstruction with Sparse Sensors	7
Modeling Thermal Regulation in Thin Vascular Systems: A Mathematical Analysis	7
An Augmented Lagrangian Deep Learning Method for Variational Problems with Essential Boundary Conditions	7
Anomalous Sorption Kinetics of Self-Interacting Particles by a Spherical Trap	7
Mesh Adaptation for Curing the Pathological Behaviors of an Upwind Scheme	7
First-Principle-Like Reinforcement Learning of Nonlinear Numerical Schemes for Conservation Laws	7
A Quadratic Serendipity Finite Volume Element Method on Arbitrary Convex Polygonal Meshes	7
A Parallel Fully Implicit Unstructured Finite Volume Lattice Boltzmann Method for Incompressible Flows	7
Unconstrained ETD Methods on the Diffuse-Interface Model with the Peng-Robinson Equation of State	7
A Novel Structure-Preserving Algorithm with Green’s Function Approach for Computing Band Structures of Photonic Quasicrystals	6
Fast Implementation of FEM for Integral Fractional Laplacian on Rectangular Meshes	6
An Efficient Iterative Method for the Formulation of Flow Networks	6
Two-Scale Neural Networks for Partial Differential Equations with Small Parameters	6
Unified Gas-Kinetic Wave-Particle Methods VI: Disperse Dilute Gas-Particle Multiphase Flow	6
A Simple Strategy for Multi-Material Diffusion and Its Application to Three-Temperature Multi-Material Flows	6
An Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Scheme for Compressible Multi-Material Flows on Adaptive Quadrilateral Meshes	6
An Adaptive Modal Discontinuous Galerkin Finite Element Parallel Method Using Unsplit Multi-Axial Perfectly Matched Layer for Seismic Wave Modeling	6
Nonconforming Finite Elements for the −curl∆curl and Brinkman Problems on Cubical Meshes	6
A Penalty-Free or Penalty-Factor-Free DG Method with a Locally Reconstructed Curl Operator for the Maxwell Eigenproblem	6
Frame Invariance and Scalability of Neural Operators for Partial Differential Equations	6
Extension of Near-Wall Domain Decomposition to Modeling Flows with Laminar-Turbulent Transition	6
A DDG Method with a Residual-Based Artificial Viscosity for the Transonic/Supersonic Compressible Flow	6
An Improved Peridynamic Model with Energy-Based Micromodulus Correction Method for Fracture in Particle Reinforced Composites	5
A Quantitative Comparison of Physical Accuracy and Numerical Stability of Lattice Boltzmann Color Gradient and Pseudopotential Multicomponent Models for Microfluidic Applications	5
Reliability Investigation of BiCGStab and IDR Solvers for the Advection-Diffusion-Reaction Equation	5
Optimal Error Estimates of a Discontinuous Galerkin Method for Stochastic Allen-Cahn Equation Driven by Multiplicative Noise	5
Well-Balanced Central Scheme for the System of MHD Equations with Gravitational Source Term	5
Efficient Splitting Methods Based on Modified Potentials: Numerical Integration of Linear Parabolic Problems and Imaginary Time Propagation of the Schrödinger Equation	5
Exact Solution of the Riemann Problem for the One-Dimensional Blood Flow Equations with General Constant Momentum Correction Coefficient	5
MHDnet: Physics-Preserving Learning for Solving Magnetohydrodynamics Problems	5
A Well-Balanced Lattice Boltzmann Model for Binary Fluids Based on the Incompressible Phase-Field Theory	5
An Adaptive Method Based on Local Dynamic Mode Decomposition for Parametric Dynamical Systems	5
A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains	5
Weak Collocation Regression for Inferring Stochastic Dynamics with Lévy Noise	5
On the Monotonicity of $Q^2$ Spectral Element Method for Laplacian on Quasi-Uniform Rectangular Meshes	5
High-Order Accurate Entropy Stable Finite Difference Schemes for the Compressible Euler Equations with the van der Waals Equation of State on Adaptive Moving Meshes	5
High Order Compact Hermite Reconstructions and Their Application in the Improved Two-Stage Fourth Order Time-Stepping Framework for Hyperbolic Problems: Two-Dimensional Case	5
Second-Order Linear Stabilized Semi-Implicit Crank-Nicolson Scheme for the Cahn-Hilliard Model with Dynamic Boundary Conditions	5

A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids	4
Numerical Study on Viscous Fingering Using Electric Fields in a Hele-Shaw Cell	4
Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations	4
Hamiltonian Reduction Using a Convolutional Auto-Encoder Coupled to a Hamiltonian Neural Network	4
High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations	4
High Moment and Pathwise Error Estimates for Fully Discrete Mixed Finite Element Approximations of Stochastic Navier-Stokes Equations with Additive Noise	4
Learning PDEs from Data on Closed Surfaces with Sparse Optimization	4
Immersed Boundary Approach to Biofilm Spread on Surfaces	4
High-Order Cell-Centered Lagrangian Spectral Volume Method on Curvilinear Meshes	4
A GPU-Accelerated Cartesian Grid Method for PDEs on Irregular Domain	4
Direct Simulation of Charge Transport in Graphene Nanoribbons	4
Discontinuous Galerkin Method for the Coupled Dual-Porosity-Navier-Stokes Model	4
A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems	4
A Posteriori Error Estimate of Weak Galerkin FEM for Stokes Problem Using Auxiliary Subspace Techniques	4
A Network Based Approach for Unbalanced Optimal Transport on Surfaces	4
Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)	4
A Correction and Comments on “Multi-Scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains CiCP, 28 (5): 1970–2001, 2020”	4
Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems	4
Asymptotic-Preserving Neural Networks for Multiscale Kinetic Equations	4
Towards the Efficient Calculation of Quantity of Interest from Steady Euler Equations I: A Dual-Consistent DWR-Based $h$-Adaptive Newton-GMG Solver	4
Structure-Preserving Finite-Element Schemes for the Euler-Poisson Equations	4
A Nonnested Augmented Subspace Method for Kohn-Sham Equation	4
Application of Computational Modelling to Particle Physics	4
Finite Difference Approximation with ADI Scheme for Two-Dimensional Keller-Segel Equations	4
Multilevel Constrained Pressure-Temperature Residual Preconditioners for Large-Scale Non-Isothermal Reservoir Simulation via Restricted Additive Schwarz Algorithms	3
The Effects of Spatial Reconstruction and Flux Solver on the Performance of High-Order Finite-Volume Compressible Flow Solvers	3
Entropic Multi-Relaxation-Time Lattice Boltzmann Model for Large Density Ratio Two-Phase Flows	3
Chromodynamic Lattice Boltzmann Method for the Simulation of Drops, Erythrocytes, and Other Vesicles	3
A Stochastic Gradient Descent Method for Computational Design of Random Rough Surfaces in Solar Cells	3
Fourier Collocation and Reduced Basis Methods for Fast Modeling of Compressible Flows	3
A New Function Space from Barron Class and Application to Neural Network Approximation	3
Development of a Less Dissipative Interface Variable Reconstruction to Solve the Euler Equations by Q Learning Method	3
Convergence Rate Analysis for Deep Ritz Method	3
A Review on Contact and Collision Methods for Multi-Body Hydrodynamic Problems in Complex Flows	3
RBMD: A Molecular Dynamics Package Enabling to Simulate 10 Million All-Atom Particles in a Single Graphics Processing Unit	3
High-Order Spectral Simulation of Dispersive Two-Dimensional Materials	3
A Symplectic Based Neural Network Algorithm for Quantum Controls under Uncertainty	3
Deep Learning-Based Computational Method for Soft Matter Dynamics: Deep Onsager-Machlup Method	3
A Second-Order Implicit-Explicit Scheme for the Baroclinic-Barotropic Split System of Primitive Equations	3
The Corrected Finite Volume Element Methods for Diffusion Equations Satisfying Discrete Extremum Principle	3
AutoAMG($θ$): An Auto-Tuned AMG Method Based on Deep Learning for Strong Threshold	3
The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications	3
Within-Cluster Variability Exponent for Identifying Coherent Structures in Dynamical Systems	3
An Iterative Thresholding Method for the Minimum Compliance Problem	3
Monotonic Diamond and DDFV Type Finite-Volume Schemes for 2D Elliptic Problems	3
Inverse Design of Strained Graphene Surfaces for Electron Control	3
Hybrid Finite Difference Fifth-Order Multi-Resolution WENO Scheme for Hamilton-Jacobi Equations	3
Lattice Boltzmann Modeling of Non-Newtonian Fluid Flows Under Non-Linear Slip Velocity Boundary Conditions in Microchannels	3
Effective Force Stabilising Technique for the Immersed Boundary Method	3
An Efficient High-Order Gas-Kinetic Scheme with Hybrid WENO-AO Method for the Euler and Navier-Stokes Solutions	3
High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws	3
Improved Randomized Neural Network Methods with Boundary Processing for Solving Elliptic Equations	2
Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Scheme for the Thermal Rotating Shallow Water Equations	2
A Determinant Aided Fixed Point Method for Nonlinear Coupled Constitutive Relation of Rarefied Nonequilibrium Flows	2
Mortar Finite Element Method for the Coupling of Time Dependent Navier-Stokes and Darcy Equations	2
High Order Multiscale Methods for Advection-Diffusion Equation in Highly Oscillatory Regimes: Application to Surfactant Diffusion and Generalization to Arbitrary Domains	2
A Two-Dimensional Third-Order CESE Scheme for Ideal MHD Equations	2
AFEPack: A General-Purpose C++ Library for Numerical Solutions of Partial Differential Equations	2
Eulerian Algorithms for Computing the Forward Finite Time Lyapunov Exponent Without Finite Difference upon the Flow Map	2
A Novel High-Order Shock-Capturing Limiter for RKDG Method on Unstructured Meshes via TENO Selection Strategies	2
The Effect of Global Smoothness on the Accuracy of Treecodes	2
A Rate of Convergence of Weak Adversarial Neural Networks for the Second Order Parabolic PDEs	2
A High Order Positivity-Preserving Discontinuous Galerkin Remapping Method Based on a Moving Mesh Solver for ALE Simulation of the Compressible Fluid Flow	2
Comparison of Lattice Boltzmann, Finite Element and Volume of Fluid Multicomponent Methods for Microfluidic Flow Problems and the Jetting of Microdroplets	2
Lattice Boltzmann Modeling of Cholesteric Liquid Crystal Droplets Under an Oscillatory Electric Field	2
Ghost-Fluid-Based Sharp Interface Methods for Multi-Material Dynamics: A Review	2
A Genuinely Two-Dimensional Approximate Riemann Solver with Stress Continuity for Hypo-Elastic Solids	2
High Order Bound- and Positivity-Preserving Finite Difference Affine-Invariant AWENO Scheme for the Five-Equation Model of Two-Medium Flows	2
An Explicit Multi-Time Stepping Algorithm for Multi-Time Scale Coupling Problems in SPH	2
A Lightweight Data-Driven Model Enhanced Discontinuous Galerkin Method for Rapidly Simulating Transonic Airfoil Flowfields	2
A Fast Offline/Online Forward Solver for Stationary Transport Equation with Multiple Inflow Boundary Conditions and Varying Coefficients	2
A High Order Bound Preserving Finite Difference Linear Scheme for Incompressible Flows	2
A Multigrid Discretization of Discontinuous Galerkin Method for the Stokes Eigenvalue Problem	2
Variational Low-Light Image Enhancement Based on Fractional-Order Differential	2
A Deep Spatio-Temporal Forecasting Model for Multi-Site Weather Prediction Post-Processing	2
A Fast Cartesian Grid-Based Integral Equation Method for Unbounded Interface Problems with Non-Homogeneous Source Terms	2
Application of Continuous Data Assimilation in High-Resolution Ocean Modeling	2
A Second-Order Langevin Sampler Preserving Positive Volume for Isothermal–Isobaric Ensemble	2
A New Mapped WENO Scheme Using Order-Preserving Mapping	2
New Algebraic Fast Algorithms for $N$-Body Problems in Two and Three Dimensions	2

General Synthetic Iterative Scheme for Unsteady Rarefied Gas Flows	2
Generalization Error Analysis of Neural Networks with Gradient Based Regularization	2
Benchmark Computation of Morphological Complexity in the Functionalized Cahn-Hilliard Gradient Flow	2
A Provably Positive-Preserving HLLD Riemann Solver for Ideal Magnetohydrodynamics. Part I: The One-Dimensional Case	2
Solution Remapping Method with Lower Bound Preservation for Navier-Stokes Equations in Aerodynamic Shape Optimization	2
Data Generation-Based Operator Learning for Solving Partial Differential Equations on Unbounded Domains	2
Electromagnetic Gyrokinetic Simulation of Tokamak Plasma with Semi-Lagrangian Scheme	2
Nonlinear Reduced DNN Models for State Estimation	2
Analysis of Discontinuity Detectors and Hybrid WCNS Schemes Based on Waveform Recognition	2
A One-Dimensional Second-Order Cell-Centered Lagrangian Scheme Satisfying the Entropy Condition	2
An Adaptive Moving Mesh Method for the Five-Equation Model	2
A Characteristic Mapping Method for Vlasov-Poisson with Extreme Resolution Properties	2
Computational Method of Grain Boundary Energy Consistent for Different Orientations and Applications to Double Gyroid Beyond Twinning	2
Integral Equation Method for a Non-Selfadjoint Steklov Eigenvalue Problem	2
Inexact Block LU Preconditioners for Incompressible Fluids with Flow Rate Conditions	2
Learning Specialized Activation Functions for Physics-Informed Neural Networks	2
Symmetry Preservation by a Compatible Staggered Lagrangian Scheme Using the Control-Volume Discretization Method in $r–z$ Coordinate	2
New Insights on Convergence Properties of Peridynamic Models for Transient Diffusion and Elastodynamics	2
An Adaptive Polygonal Finite Volume Element Method Based on the Mean Value Coordinates for Anisotropic Diffusion Problems	2
Analysis of a Mixed Finite Element Method for Stochastic Cahn-Hilliard Equation with Multiplicative Noise	2
A Second Order Numerical Scheme of the Cahn-Hilliard-Navier-Stokes System with Flory-Huggins Potential	1
A Comparative Study of Hydrodynamic Lattice Boltzmann Equation in Phase-Field-Based Multiphase Flow Models	1
VPVnet: A Velocity-Pressure-Vorticity Neural Network Method for the Stokes’ Equations under Reduced Regularity	1
Transition Pathways in Cylinder-Gyroid Interface	1
A Decreasing Upper Bound of the Energy for Time-Fractional Phase-Field Equations	1
Generalized Lagrangian Neural Networks	1
An LDG Method for Stochastic Cahn-Hilliard Type Equation Driven by General Multiplicative Noise Involving Second-Order Derivative	1
A $H^T_N$-Based UGKS Scheme for the Three-Temperature Radiative Transfer Equations	1
Hyperbolic Divergence Cleaning in Lattice Boltzmann Magnetohydrodynamics	1
Convergence Analysis for Over-Parameterized Deep Learning	1
Numerical Solution of the Incompressible Navier-Stokes Equation by a Deep Branching Algorithm	1
Integral Regularization PINNs for Evolution Equations	1
Solution of Inverse Geometric Problems Using a Non-Iterative MFS	1
A Genuinely Two-Dimensional HLL-Type Approximate Riemann Solver for Hypo-Elastic Plastic Flow	1
A Class of Second-Order Energy-Stable Schemes for the Cahn-Hilliard Equation and Their Linear Iteration Algorithm	1
A Unified Gas-Kinetic Particle Method for Frequency-Dependent Radiative Transfer Equations with Isotropic Scattering Process on Unstructured Mesh	1
The Positivity-Preserving Finite Volume Coupled with Finite Element Method for the Keller-Segel-Navier-Stokes Model	1
A Positivity-Preserving and Well-Balanced High Order Compact Finite Difference Scheme for Shallow Water Equations	1
A $p$-Adaptive Treecode Solution of the Poisson Equation in the General Domain	1
A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems	1
Bjorken Flow Revisited: Analytic and Numerical Solutions in Flat Space-Time Coordinates	1
A Consensus-Based Global Optimization Method with Adaptive Momentum Estimation	1
Uncertainty Quantification for Charge Transport in GNRs Through Particle Galerkin Methods for the Semiclassical Boltzmann Equation	1
An Arbitrary Order Mixed Finite Element Method with Boundary Value Correction for the Darcy Flow on Curved Domains	1
A New Directional Algebraic Fast Multipole Method Based Iterative Solver for the Lippmann-Schwinger Equation Accelerated with HODLR Preconditioner	1
Numerical Solutions of the Electromagnetic Scattering by Overfilled Cavities with Inhomogeneous Anisotropic Media	1
Fast-Converging and Asymptotic-Preserving Simulation of Frequency Domain Thermoreflectance	1
High-Order Unified Gas-Kinetic Scheme	1
Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws	1
A Gas-Kinetic Scheme for Collisional Vlasov-Poisson Equations in Cylindrical Coordinates	1
Aerodynamic Performance and Data-Driven Optimization of Flow Past an Inclined Rounded Square Cylinder	1
Asymptotic-Preserving Schemes for Kinetic-Fluid Modeling of Mixture Flows	1
Numerical Reconstruction of Locally Rough Surfaces with a Newton Iterative Algorithm	1
Lattice Boltzmann Simulations of Two Linear Microswimmers Using the Immersed Boundary Method	1
A Five-Point TENO Scheme with Adaptive Dissipation Based on a New Scale Sensor	1
A Conservative and Positivity-Preserving Method for Solving Anisotropic Diffusion Equations with Deep Learning	1
Modelling and Numerical Shape and Topology Optimization for a Hemivariational Inequality in Stokes Flows with Slip Boundary Conditions	1
A Four-State HLL Riemann Solver for Numerical Simulation of Magneto-Hydrodynamics Based on the Least Squares Solution for the Middle Wave	1
Adaptive Interface-PINNs (AdaI-PINNs): An Efficient Physics-Informed Neural Networks Framework for Interface Problems	1
Unfitted Spectral Element Method for Interfacial Models	1
MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs	1
A Modified Characteristic-Wise WENO Reconstruction for Capturing the Contact Discontinuity in Multi-Component Flows	1
On a Hybrid Approach for Recovering Multiple Obstacles	1
A Moving Mesh Finite Element Method for Bernoulli Free Boundary Problems	1
Weak Galerkin Method for Second-Order Elliptic Equations with Newton Boundary Condition	1
Three Dimensional Dynamics of Polar Fluids: A Lattice Boltzmann Approach	1
Solving Time Dependent Fokker-Planck Equations via Temporal Normalizing Flow	1
Random Batch Particle Methods for the Homogeneous Landau Equation	1
A New Approximate Method to Mean Field Stochastic Differential Equation with One-Sided Lipschitz Drift Coefficient	1
A Neural Particle Method with Interface Tracking and Adaptive Particle Refinement for Free Surface Flows	1
Adaptive Neural Network Basis Methods for Partial Differential Equations with Low-Regular Solutions	1
An Inverse Averaging Finite Element Method for Solving the Size-Modified Poisson-Nernst-Planck Equations in Ion Channel Simulations	1
A Continuous Finite Element Method with Homotopy Vanishing Viscosity for Solving the Static Eikonal Equation	1
A RKDG Method for 2D Lagrangian Ideal Magnetohydrodynamics Equations with Exactly Divergence-Free Magnetic Field	1
VAE-KRnet and Its Applications to Variational Bayes	1
Finite-Volume TENO Scheme with a New Cell-Interface Flux Evaluation Strategy for Unstructured Meshes	1
A Normalizing Field Flow Induced Two-Stage Stochastic Homogenization Method for Random Composite Materials	1
Efficient Energy-Stable Parametric Finite Element Methods for Surface Diffusion Flow and Applications in Solid-State Dewetting	1
A Rate of Convergence of Physics Informed Neural Networks for the Linear Second Order Elliptic PDEs	1
Random Walk Approximation for Irreversible Drift-Diffusion Process on Manifold: Ergodicity, Unconditional Stability and Convergence	1
Operator Splitting and Local Time-Stepping Methods for Transport Problems in Fractured Porous Media	1
Sixth-Order Compact Finite Difference Method for 2D Helmholtz Equations with Singular Sources and Reduced Pollution Effect	1
Vortex Spline Method for Two-Dimensional Rayleigh-Taylor Interfaces Between Inviscid and Perfect Dielectric Fluids with External Electric Fields	1
Closed-Loop Geothermal Systems: Modeling and Predictions	1