Communications in Computational Physics

Papers
(The median citation count of Communications in Computational Physics is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-06-01 to 2026-06-01.)
ArticleCitations
Asymptotic-Preserving Discretization of Three-Dimensional Plasma Fluid Models37
An Efficient Numerical Algorithm for Solving Coupled Time-Dependent Ginzburg-Landau Equation for Superconductivity and Elasticity26
A Third Order Bound-Preserving Nodal Discontinuous Galerkin Method for Miscible Displacements in Porous Media26
The Implicit Unified Gas Kinetic Scheme for Neutron Transport with Arbitrary Anisotropic Scattering Model25
On the Solution Accuracy Downstream of Shocks When Using Godunov-Type Schemes. I. Sources of Errors in One-Dimensional Problems24
Capturing Vertical Information in Radially Symmetric Flow Using Hyperbolic Shallow Water Moment Equations24
Mandelic Acid Single-Crystal Growth: Experiments VS Numerical Simulations20
An Improved Diffuse-Interface Lattice Boltzmann Method for Particulate Flows20
Convergence Analysis of PINNs with Over-Parameterization20
A Multiscale Algorithm to Drastically Reduce Computational Times when Simulating Liquid/Solid Interaction at Atomic Resolution with Realistic Hydrodynamics Effects19
Thermal Regulation in Thin Vascular Systems: A Sensitivity Analysis18
Tree-Based Implementation of the Small Matrix Path Integral for System-Bath Dynamics18
Dynamical Demixing of a Binary Mixture Under Sedimentation18
Adaptive Ensemble Kalman Inversion with Statistical Linearization17
A Conservative and Monotone Characteristic Finite Element Solver for Three-Dimensional Transport and Incompressible Navier-Stokes Equations on Unstructured Grids17
A Simulation Approach Including Underresolved Scales for Two-Component Fluid Flows in Multiscale Porous Structures16
A Priori Subcell Limiting Approach for the FR/CPR Method on Unstructured Meshes16
A Unifying Moving Mesh Method for Curves, Surfaces, and Domains Based on Mesh Equidistribution and Alignment15
Splitting Physics-Informed Neural Networks for Inferring the Dynamics of Integer- and Fractional-Order Neuron Models15
A Temporal Second-Order Positive-Preserving Unified Gas-Kinetic Scheme for Gray Radiative Transfer Equations14
Dimension-Free Ergodicity of Path Integral Molecular Dynamics14
Geometric Decomposition and Efficient Implementation of High Order Face and Edge Elements14
A Kolmogorov High Order Deep Neural Network for High Frequency Partial Differential Equations in High Dimensions14
A New Upwind Finite Volume Element Method for Convection-Diffusion-Reaction Problems on Quadrilateral Meshes13
A Second-Order Length-Preserving and Unconditionally Energy Stable Rotational Discrete Gradient Method for Oseen-Frank Gradient Flows12
Do We Need Decay-Preserving Error Estimate for Solving Parabolic Equations with Initial Singularity?12
Modeling of Bound Electron Effects in Particle-in-Cell Simulation12
Solving Multi-Group Neutron Diffusion Eigenvalue Problem with Decoupling Residual Loss Function12
Application of MUSIC Algorithm for Object Localization Without Diagonal Elements of Multi-Static Response Matrix12
Obituary: Professor Jiequan Li12
A 2D Fourth-Order CESE Scheme for Solving the Ideal MHD Equations11
A Parallel Domain Decomposition Method for the Fully-Mixed Stokes-Dual-Permeability Fluid Flow Model with Beavers-Joseph Interface Conditions10
Stabilized Continuous Linear Element Method for the Biharmonic Problems10
Ruminated Tensor Decomposition Method for High-Resolution Hyperbolic Solver with Minmod Slope-Limiter9
High Order Deep Neural Network for Solving High Frequency Partial Differential Equations9
A Simple GPU Implementation of Spectral-Element Methods for Solving 3D Poisson Type Equations on Rectangular Domains and Its Applications9
Active Nematodynamics on Curved Surfaces – The Influence of Geometric Forces on Motion Patterns of Topological Defects9
A Mixed Finite Element Scheme for Biharmonic Equation with Variable Coefficient and von Kármán Equations9
The Lowest-Order Stabilized Virtual Element Method for the Stokes Problem9
An Augmented Lagrangian Deep Learning Method for Variational Problems with Essential Boundary Conditions8
A Novel Structure-Preserving Algorithm with Green’s Function Approach for Computing Band Structures of Photonic Quasicrystals8
Unconstrained ETD Methods on the Diffuse-Interface Model with the Peng-Robinson Equation of State8
First-Principle-Like Reinforcement Learning of Nonlinear Numerical Schemes for Conservation Laws8
A Penalty-Free or Penalty-Factor-Free DG Method with a Locally Reconstructed Curl Operator for the Maxwell Eigenproblem8
Fast Implementation of FEM for Integral Fractional Laplacian on Rectangular Meshes8
A Noise and Vibration Tolerant ResNet for Field Reconstruction with Sparse Sensors8
A Holomorphic Operator Function Approach for the Modified Transmission Eigenvalue Problem8
Kinetic Slip Boundary Condition for Isothermal Rarefied Gas Flows Through Static Non-Planar Geometries Based on the Regularized Lattice-Boltzmann Method8
Mesh Adaptation for Curing the Pathological Behaviors of an Upwind Scheme8
A DDG Method with a Residual-Based Artificial Viscosity for the Transonic/Supersonic Compressible Flow7
A Parallel Fully Implicit Unstructured Finite Volume Lattice Boltzmann Method for Incompressible Flows7
Modeling Thermal Regulation in Thin Vascular Systems: A Mathematical Analysis7
Nonconforming Finite Elements for the −curl∆curl and Brinkman Problems on Cubical Meshes7
A Simple Strategy for Multi-Material Diffusion and Its Application to Three-Temperature Multi-Material Flows7
A Quadratic Serendipity Finite Volume Element Method on Arbitrary Convex Polygonal Meshes7
United Filter for Jointly Estimating State and Parameters of Stochastic Dynamical Systems7
Two-Scale Neural Networks for Partial Differential Equations with Small Parameters7
Frame Invariance and Scalability of Neural Operators for Partial Differential Equations7
Anomalous Sorption Kinetics of Self-Interacting Particles by a Spherical Trap7
Thermodynamically Consistent Modeling and Energy Stable Numerical Simulation of Multicomponent Compressible Flow in Poroelastic Media7
Extension of Near-Wall Domain Decomposition to Modeling Flows with Laminar-Turbulent Transition7
A Quantitative Comparison of Physical Accuracy and Numerical Stability of Lattice Boltzmann Color Gradient and Pseudopotential Multicomponent Models for Microfluidic Applications6
An Adaptive Modal Discontinuous Galerkin Finite Element Parallel Method Using Unsplit Multi-Axial Perfectly Matched Layer for Seismic Wave Modeling6
Reliability Investigation of BiCGStab and IDR Solvers for the Advection-Diffusion-Reaction Equation6
MHDnet: Physics-Preserving Learning for Solving Magnetohydrodynamics Problems6
Optimal Error Estimates of a Discontinuous Galerkin Method for Stochastic Allen-Cahn Equation Driven by Multiplicative Noise6
A Well-Balanced Lattice Boltzmann Model for Binary Fluids Based on the Incompressible Phase-Field Theory6
An Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Scheme for Compressible Multi-Material Flows on Adaptive Quadrilateral Meshes6
High-Order Accurate Entropy Stable Finite Difference Schemes for the Compressible Euler Equations with the van der Waals Equation of State on Adaptive Moving Meshes6
On the Monotonicity of $Q^2$ Spectral Element Method for Laplacian on Quasi-Uniform Rectangular Meshes6
Full-Waveform Inversion with Unbalanced Optimal Transport Metric for Seismic Imaging6
Immersed Boundary Approach to Biofilm Spread on Surfaces5
Efficient Splitting Methods Based on Modified Potentials: Numerical Integration of Linear Parabolic Problems and Imaginary Time Propagation of the Schrödinger Equation5
Well-Balanced Central Scheme for the System of MHD Equations with Gravitational Source Term5
Finite Difference Approximation with ADI Scheme for Two-Dimensional Keller-Segel Equations5
A Nonnested Augmented Subspace Method for Kohn-Sham Equation5
Learning PDEs from Data on Closed Surfaces with Sparse Optimization5
Weak Collocation Regression for Inferring Stochastic Dynamics with Lévy Noise5
Exact Solution of the Riemann Problem for the One-Dimensional Blood Flow Equations with General Constant Momentum Correction Coefficient5
Structured First-Layer Initialization Pre-Training Techniques to Accelerate Training Process Based on $\\varepsilon$-Rank5
A Network Based Approach for Unbalanced Optimal Transport on Surfaces5
High Moment and Pathwise Error Estimates for Fully Discrete Mixed Finite Element Approximations of Stochastic Navier-Stokes Equations with Additive Noise5
A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains5
An Adaptive Method Based on Local Dynamic Mode Decomposition for Parametric Dynamical Systems5
An Improved Peridynamic Model with Energy-Based Micromodulus Correction Method for Fracture in Particle Reinforced Composites5
Second-Order Linear Stabilized Semi-Implicit Crank-Nicolson Scheme for the Cahn-Hilliard Model with Dynamic Boundary Conditions5
Application of Computational Modelling to Particle Physics5
A Posteriori Error Estimate of Weak Galerkin FEM for Stokes Problem Using Auxiliary Subspace Techniques5
A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids5
High Order Compact Hermite Reconstructions and Their Application in the Improved Two-Stage Fourth Order Time-Stepping Framework for Hyperbolic Problems: Two-Dimensional Case5
Asymptotic-Preserving Neural Networks for Multiscale Kinetic Equations4
Elementary Plasma Mirror Model: Three-Dimensional Numerical Modeling and Generation of Surface Harmonics with Orbital Angular Momentum4
A GPU-Accelerated Cartesian Grid Method for PDEs on Irregular Domain4
Discontinuous Galerkin Method for the Coupled Dual-Porosity-Navier-Stokes Model4
A Finite Difference Method for Some Non-Newtonian Fluids Coupled with Porous Media4
Towards the Efficient Calculation of Quantity of Interest from Steady Euler Equations I: A Dual-Consistent DWR-Based $h$-Adaptive Newton-GMG Solver4
Hamiltonian Reduction Using a Convolutional Auto-Encoder Coupled to a Hamiltonian Neural Network4
Multilevel Constrained Pressure-Temperature Residual Preconditioners for Large-Scale Non-Isothermal Reservoir Simulation via Restricted Additive Schwarz Algorithms4
High-Order Spectral Simulation of Dispersive Two-Dimensional Materials4
Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems4
The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications4
Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations4
Towards the Efficient Calculation of Quantity of Interest from Steady Euler Equations II: A CNNs-Based Automatic Implementation4
A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems4
Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)4
Identification of Differential Equations by Dynamics-Guided Weighted Weak Form with Voting4
Inverse Design of Strained Graphene Surfaces for Electron Control4
Within-Cluster Variability Exponent for Identifying Coherent Structures in Dynamical Systems4
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
High-Order Cell-Centered Lagrangian Spectral Volume Method on Curvilinear Meshes4
High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations4
Convergence Analysis of Iterative Solution with Inexact Block Preconditioning for Weak Galerkin Finite Element Approximation of Stokes Flow4
Numerical Study on Viscous Fingering Using Electric Fields in a Hele-Shaw Cell4
Structure-Preserving Finite-Element Schemes for the Euler-Poisson Equations4
An Iterative Thresholding Method for the Minimum Compliance Problem4
The Effects of Spatial Reconstruction and Flux Solver on the Performance of High-Order Finite-Volume Compressible Flow Solvers4
A New Mapped WENO Scheme Using Order-Preserving Mapping3
A Provably Positive-Preserving HLLD Riemann Solver for Ideal Magnetohydrodynamics. Part I: The One-Dimensional Case3
A Stochastic Gradient Descent Method for Computational Design of Random Rough Surfaces in Solar Cells3
Fourier Collocation and Reduced Basis Methods for Fast Modeling of Compressible Flows3
Spiking Neural Operators for Scientific Machine Learning3
Monotonic Diamond and DDFV Type Finite-Volume Schemes for 2D Elliptic Problems3
A Weak Galerkin Finite Element Method Coupled with Mortar Spectral Element Method for Schr�dinger Eigenvalue Problem with an Inverse Square Potential3
Entropic Multi-Relaxation-Time Lattice Boltzmann Model for Large Density Ratio Two-Phase Flows3
Effective Force Stabilising Technique for the Immersed Boundary Method3
Convergence Rate Analysis for Deep Ritz Method3
Comparison of Lattice Boltzmann, Finite Element and Volume of Fluid Multicomponent Methods for Microfluidic Flow Problems and the Jetting of Microdroplets3
Benchmark Computation of Morphological Complexity in the Functionalized Cahn-Hilliard Gradient Flow3
Ghost-Fluid-Based Sharp Interface Methods for Multi-Material Dynamics: A Review3
A Second-Order Implicit-Explicit Scheme for the Baroclinic-Barotropic Split System of Primitive Equations3
Deep Learning-Based Computational Method for Soft Matter Dynamics: Deep Onsager-Machlup Method3
A New Function Space from Barron Class and Application to Neural Network Approximation3
An Efficient High-Order Gas-Kinetic Scheme with Hybrid WENO-AO Method for the Euler and Navier-Stokes Solutions3
High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws3
RBMD: A Molecular Dynamics Package Enabling to Simulate 10 Million All-Atom Particles in a Single Graphics Processing Unit3
Preface3
Long-Time Integration of Nonlinear Wave Equations with Neural Operators3
High Order Bound- and Positivity-Preserving Finite Difference Affine-Invariant AWENO Scheme for the Five-Equation Model of Two-Medium Flows3
A Genuinely Two-Dimensional Approximate Riemann Solver with Stress Continuity for Hypo-Elastic Solids3
Hybrid Finite Difference Fifth-Order Multi-Resolution WENO Scheme for Hamilton-Jacobi Equations3
Lattice Boltzmann Modeling of Non-Newtonian Fluid Flows Under Non-Linear Slip Velocity Boundary Conditions in Microchannels3
The Corrected Finite Volume Element Methods for Diffusion Equations Satisfying Discrete Extremum Principle3
Chromodynamic Lattice Boltzmann Method for the Simulation of Drops, Erythrocytes, and Other Vesicles3
AutoAMG($θ$): An Auto-Tuned AMG Method Based on Deep Learning for Strong Threshold3
A Review on Contact and Collision Methods for Multi-Body Hydrodynamic Problems in Complex Flows3
Development of a Less Dissipative Interface Variable Reconstruction to Solve the Euler Equations by Q Learning Method3
A Highly Efficient CN-Like Scheme for the Transient Wigner Equation3
New Insights on Convergence Properties of Peridynamic Models for Transient Diffusion and Elastodynamics2
An Adaptive Polygonal Finite Volume Element Method Based on the Mean Value Coordinates for Anisotropic Diffusion Problems2
New Algebraic Fast Algorithms for $N$-Body Problems in Two and Three Dimensions2
Analysis of Discontinuity Detectors and Hybrid WCNS Schemes Based on Waveform Recognition2
A Fast Cartesian Grid-Based Integral Equation Method for Unbounded Interface Problems with Non-Homogeneous Source Terms2
The Effect of Global Smoothness on the Accuracy of Treecodes2
Application of Continuous Data Assimilation in High-Resolution Ocean Modeling2
A High Order Positivity-Preserving Discontinuous Galerkin Remapping Method Based on a Moving Mesh Solver for ALE Simulation of the Compressible Fluid Flow2
A Fast Offline/Online Forward Solver for Stationary Transport Equation with Multiple Inflow Boundary Conditions and Varying Coefficients2
The Positivity-Preserving Finite Volume Coupled with Finite Element Method for the Keller-Segel-Navier-Stokes Model2
Lattice Boltzmann Modeling of Cholesteric Liquid Crystal Droplets Under an Oscillatory Electric Field2
A Lightweight Data-Driven Model Enhanced Discontinuous Galerkin Method for Rapidly Simulating Transonic Airfoil Flowfields2
Solution Remapping Method with Lower Bound Preservation for Navier-Stokes Equations in Aerodynamic Shape Optimization2
A One-Dimensional Second-Order Cell-Centered Lagrangian Scheme Satisfying the Entropy Condition2
Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Scheme for the Thermal Rotating Shallow Water Equations2
A Characteristic Mapping Method for Vlasov-Poisson with Extreme Resolution Properties2
A Moving Mesh Finite Element Method for Bernoulli Free Boundary Problems2
General Synthetic Iterative Scheme for Unsteady Rarefied Gas Flows2
Deep Learning via Neural Energy Descent2
A Rate of Convergence of Weak Adversarial Neural Networks for the Second Order Parabolic PDEs2
Kinetic Representation of the Unified Gas-Kinetic Wave-Particle Method and Beyond2
A High Order Bound Preserving Finite Difference Linear Scheme for Incompressible Flows2
An Adaptive Moving Mesh Method for the Five-Equation Model2
Eulerian Algorithms for Computing the Forward Finite Time Lyapunov Exponent Without Finite Difference upon the Flow Map2
Electromagnetic Gyrokinetic Simulation of Tokamak Plasma with Semi-Lagrangian Scheme2
Neural-Network-Augmented Empirical Interpolation Method for Field Reconstruction with Noise and Vibration Tolerance2
High Order Multiscale Methods for Advection-Diffusion Equation in Highly Oscillatory Regimes: Application to Surfactant Diffusion and Generalization to Arbitrary Domains2
Computational Method of Grain Boundary Energy Consistent for Different Orientations and Applications to Double Gyroid Beyond Twinning2
An Explicit Multi-Time Stepping Algorithm for Multi-Time Scale Coupling Problems in SPH2
Adaptive Interface-PINNs (AdaI-PINNs): An Efficient Physics-Informed Neural Networks Framework for Interface Problems2
AFEPack: A General-Purpose C++ Library for Numerical Solutions of Partial Differential Equations2
A Modified Characteristic-Wise WENO Reconstruction for Capturing the Contact Discontinuity in Multi-Component Flows2
Nonlinear Reduced DNN Models for State Estimation2
A Multigrid Discretization of Discontinuous Galerkin Method for the Stokes Eigenvalue Problem2
Structure-Preserving SAV-RK$s$ Spectral Methods for Nonlinear Hamiltonian System2
A Novel High-Order Shock-Capturing Limiter for RKDG Method on Unstructured Meshes via TENO Selection Strategies2
A Five-Point TENO Scheme with Adaptive Dissipation Based on a New Scale Sensor2
Maximum-Principle-Preserving and Positivity-Preserving Central WENO Schemes on Overlapping Meshes2
Adaptive Reconstruction Method Using Discontinuity Feedback for High-Order Accuracy Schemes2
Analysis of a Mixed Finite Element Method for Stochastic Cahn-Hilliard Equation with Multiplicative Noise2
A Two-Dimensional Third-Order CESE Scheme for Ideal MHD Equations2
Variational Low-Light Image Enhancement Based on Fractional-Order Differential2
A Second-Order Langevin Sampler Preserving Positive Volume for Isothermal–Isobaric Ensemble2
Mortar Finite Element Method for the Coupling of Time Dependent Navier-Stokes and Darcy Equations2
Stability Analysis and Structure Preserving Schemes for the Reactive Euler Equations with a New Equation of State2
Improved Randomized Neural Network Methods with Boundary Processing for Solving Elliptic Equations2
Inexact Block LU Preconditioners for Incompressible Fluids with Flow Rate Conditions2
Generalization Error Analysis of Neural Networks with Gradient Based Regularization2
A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems2
Symmetry Preservation by a Compatible Staggered Lagrangian Scheme Using the Control-Volume Discretization Method in $r–z$ Coordinate2
A Deep Spatio-Temporal Forecasting Model for Multi-Site Weather Prediction Post-Processing2
Closed-Loop Geothermal Systems: Modeling and Predictions2
Integral Equation Method for a Non-Selfadjoint Steklov Eigenvalue Problem2
Data Generation-Based Operator Learning for Solving Partial Differential Equations on Unbounded Domains2
Learning Specialized Activation Functions for Physics-Informed Neural Networks2
A Determinant Aided Fixed Point Method for Nonlinear Coupled Constitutive Relation of Rarefied Nonequilibrium Flows2
A Class of Second-Order Energy-Stable Schemes for the Cahn-Hilliard Equation and Their Linear Iteration Algorithm1
Hyperbolic Divergence Cleaning in Lattice Boltzmann Magnetohydrodynamics1
VAE-KRnet and Its Applications to Variational Bayes1
On a Hybrid Approach for Recovering Multiple Obstacles1
Fast-Converging and Asymptotic-Preserving Simulation of Frequency Domain Thermoreflectance1
A $H^T_N$-Based UGKS Scheme for the Three-Temperature Radiative Transfer Equations1
Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws1
Lattice Boltzmann Simulations of Two Linear Microswimmers Using the Immersed Boundary Method1
A Gas-Kinetic Scheme for Collisional Vlasov-Poisson Equations in Cylindrical Coordinates1
High-Order Unified Gas-Kinetic Scheme1
A RKDG Method for 2D Lagrangian Ideal Magnetohydrodynamics Equations with Exactly Divergence-Free Magnetic Field1
New Superconvergent Structures with Optional Superconvergent Points for the Finite Volume Element Method1
An Inverse Averaging Finite Element Method for Solving the Size-Modified Poisson-Nernst-Planck Equations in Ion Channel Simulations1
Finite-Volume TENO Scheme with a New Cell-Interface Flux Evaluation Strategy for Unstructured Meshes1
A Rate of Convergence of Physics Informed Neural Networks for the Linear Second Order Elliptic PDEs1
Transition Pathways in Cylinder-Gyroid Interface1
MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs1
A Normalizing Field Flow Induced Two-Stage Stochastic Homogenization Method for Random Composite Materials1
A Positivity-Preserving and Well-Balanced High Order Compact Finite Difference Scheme for Shallow Water Equations1
Three Dimensional Dynamics of Polar Fluids: A Lattice Boltzmann Approach1
A Four-State HLL Riemann Solver for Numerical Simulation of Magneto-Hydrodynamics Based on the Least Squares Solution for the Middle Wave1
Bjorken Flow Revisited: Analytic and Numerical Solutions in Flat Space-Time Coordinates1
Efficient Energy-Stable Parametric Finite Element Methods for Surface Diffusion Flow and Applications in Solid-State Dewetting1
Asymptotic-Preserving Schemes for Kinetic-Fluid Modeling of Mixture Flows1
A Unified Gas-Kinetic Particle Method for Frequency-Dependent Radiative Transfer Equations with Isotropic Scattering Process on Unstructured Mesh1
Integral Regularization PINNs for Evolution Equations1
A Decreasing Upper Bound of the Energy for Time-Fractional Phase-Field Equations1
$α$Setup-PCTL: An Adaptive Setup-Based Two-Level Preconditioner for Sequence of Linear Systems of Three-Temperature Energy Equations1
A Genuinely Two-Dimensional HLL-Type Approximate Riemann Solver for Hypo-Elastic Plastic Flow1
Development and Analysis of an Explicit DG Method for Huygens Metasurfaces1
A Conservative and Positivity-Preserving Method for Solving Anisotropic Diffusion Equations with Deep Learning1
A New Approximate Method to Mean Field Stochastic Differential Equation with One-Sided Lipschitz Drift Coefficient1
Random Batch Particle Methods for the Homogeneous Landau Equation1
A New Directional Algebraic Fast Multipole Method Based Iterative Solver for the Lippmann-Schwinger Equation Accelerated with HODLR Preconditioner1
A Second Order Numerical Scheme of the Cahn-Hilliard-Navier-Stokes System with Flory-Huggins Potential1
Generalized Lagrangian Neural Networks1
Random Walk Approximation for Irreversible Drift-Diffusion Process on Manifold: Ergodicity, Unconditional Stability and Convergence1
Local Discontinuous Galerkin Method for Nonlinear BSPDEs of Neumann Boundary Conditions with Deep Backward Dynamic Programming Time-Marching1
Steady-State Simulation of Euler Equations by the Discontinuous Galerkin Method with the Jump Filter1
Convergence Analysis for Over-Parameterized Deep Learning1
A Neural Particle Method with Interface Tracking and Adaptive Particle Refinement for Free Surface Flows1
An LDG Method for Stochastic Cahn-Hilliard Type Equation Driven by General Multiplicative Noise Involving Second-Order Derivative1
Fractional Buffer Layers: Absorbing Boundary Conditions for Wave Propagation1
A High-Order Fast Boundary Element Method with Near-Boundary Stability for Field Emission from Nanoscale Structures1
Error Analysis of the Supplementary Variable Method for the Allen-Cahn Model1
A Consensus-Based Global Optimization Method with Adaptive Momentum Estimation1
Numerical Solutions of the Electromagnetic Scattering by Overfilled Cavities with Inhomogeneous Anisotropic Media1
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