Communications in Computational Physics

Article	Citations
Asymptotic-Preserving Discretization of Three-Dimensional Plasma Fluid Models	32
A Third Order Bound-Preserving Nodal Discontinuous Galerkin Method for Miscible Displacements in Porous Media	27
An Efficient Numerical Algorithm for Solving Coupled Time-Dependent Ginzburg-Landau Equation for Superconductivity and Elasticity	25
The Implicit Unified Gas Kinetic Scheme for Neutron Transport with Arbitrary Anisotropic Scattering Model	21
Capturing Vertical Information in Radially Symmetric Flow Using Hyperbolic Shallow Water Moment Equations	20
On the Solution Accuracy Downstream of Shocks When Using Godunov-Type Schemes. I. Sources of Errors in One-Dimensional Problems	18
An Improved Diffuse-Interface Lattice Boltzmann Method for Particulate Flows	16
Convergence Analysis of PINNs with Over-Parameterization	16
Mandelic Acid Single-Crystal Growth: Experiments VS Numerical Simulations	15
A Third-Order Weighted Essentially Non-Oscillatory Compact Least-Squares Scheme for Hyperbolic Conservation Laws on Non-Uniform Grids	13
A Multiscale Algorithm to Drastically Reduce Computational Times when Simulating Liquid/Solid Interaction at Atomic Resolution with Realistic Hydrodynamics Effects	13
Tree-Based Implementation of the Small Matrix Path Integral for System-Bath Dynamics	12
Adaptive Ensemble Kalman Inversion with Statistical Linearization	11
Dynamical Demixing of a Binary Mixture Under Sedimentation	11
A Simulation Approach Including Underresolved Scales for Two-Component Fluid Flows in Multiscale Porous Structures	10
A Temporal Second-Order Positive-Preserving Unified Gas-Kinetic Scheme for Gray Radiative Transfer Equations	10
Splitting Physics-Informed Neural Networks for Inferring the Dynamics of Integer- and Fractional-Order Neuron Models	10
Novel Approaches for the Reliable and Efficient Numerical Evaluation of Landau-Type Operators	10
Geometric Decomposition and Efficient Implementation of High Order Face and Edge Elements	9
A Unifying Moving Mesh Method for Curves, Surfaces, and Domains Based on Mesh Equidistribution and Alignment	9
Thermal Regulation in Thin Vascular Systems: A Sensitivity Analysis	9
Superconvergence of the Local Discontinuous Galerkin Method with Generalized Numerical Fluxes for One-Dimensional Nonlinear Time-Dependent Fourth-Order Equations	9
Dimension-Free Ergodicity of Path Integral Molecular Dynamics	8
Solving Multi-Group Neutron Diffusion Eigenvalue Problem with Decoupling Residual Loss Function	8
A Kolmogorov High Order Deep Neural Network for High Frequency Partial Differential Equations in High Dimensions	8

A New Upwind Finite Volume Element Method for Convection-Diffusion-Reaction Problems on Quadrilateral Meshes	8
Application of MUSIC Algorithm for Object Localization Without Diagonal Elements of Multi-Static Response Matrix	8
Do We Need Decay-Preserving Error Estimate for Solving Parabolic Equations with Initial Singularity?	8
Stabilized Continuous Linear Element Method for the Biharmonic Problems	7
A Parametric Finite Element Method for the Incompressible Navier–Stokes Equations on an Evolving Surface	7
A Holomorphic Operator Function Approach for the Modified Transmission Eigenvalue Problem	7
Obituary: Professor Jiequan Li	7
A Parallel Domain Decomposition Method for the Fully-Mixed Stokes-Dual-Permeability Fluid Flow Model with Beavers-Joseph Interface Conditions	7
A Second-Order Length-Preserving and Unconditionally Energy Stable Rotational Discrete Gradient Method for Oseen-Frank Gradient Flows	7
A 2D Fourth-Order CESE Scheme for Solving the Ideal MHD Equations	7
The Lowest-Order Stabilized Virtual Element Method for the Stokes Problem	7
A Simple GPU Implementation of Spectral-Element Methods for Solving 3D Poisson Type Equations on Rectangular Domains and Its Applications	7
Ruminated Tensor Decomposition Method for High-Resolution Hyperbolic Solver with Minmod Slope-Limiter	6
A Noise and Vibration Tolerant ResNet for Field Reconstruction with Sparse Sensors	6
A Penalty-Free or Penalty-Factor-Free DG Method with a Locally Reconstructed Curl Operator for the Maxwell Eigenproblem	6
A Simple Strategy for Multi-Material Diffusion and Its Application to Three-Temperature Multi-Material Flows	5
Two-Scale Neural Networks for Partial Differential Equations with Small Parameters	5
ADD-PINN: Adaptive Domain Decomposition based Physics Informed Neural Networks via Spatial Clustering	5
A Parallel Fully Implicit Unstructured Finite Volume Lattice Boltzmann Method for Incompressible Flows	5
Polymer Diffusion Modeling and Its Fourier Numerical Analysis	5
A Novel Structure-Preserving Algorithm with Green’s Function Approach for Computing Band Structures of Photonic Quasicrystals	5
United Filter for Jointly Estimating State and Parameters of Stochastic Dynamical Systems	5
Nonconforming Finite Elements for the −curl∆curl and Brinkman Problems on Cubical Meshes	5
A Quadratic Serendipity Finite Volume Element Method on Arbitrary Convex Polygonal Meshes	5
Unconstrained ETD Methods on the Diffuse-Interface Model with the Peng-Robinson Equation of State	5
Fast Implementation of FEM for Integral Fractional Laplacian on Rectangular Meshes	5
An Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Scheme for Compressible Multi-Material Flows on Adaptive Quadrilateral Meshes	5
Thermodynamically Consistent Modeling and Energy Stable Numerical Simulation of Multicomponent Compressible Flow in Poroelastic Media	5
First-Principle-Like Reinforcement Learning of Nonlinear Numerical Schemes for Conservation Laws	5
Modeling Thermal Regulation in Thin Vascular Systems: A Mathematical Analysis	5
Parallel Simulation of Geological CO₂ Storage with Enhanced Oil Recovery Using the Bound-Preserving Solvent Model	5
On the Monotonicity of $Q^2$ Spectral Element Method for Laplacian on Quasi-Uniform Rectangular Meshes	4
A Well-Balanced Lattice Boltzmann Model for Binary Fluids Based on the Incompressible Phase-Field Theory	4
Derivative Estimation by RKHS Regularization for Learning Dynamics from Time-Series Data	4
High Order Compact Hermite Reconstructions and Their Application in the Improved Two-Stage Fourth Order Time-Stepping Framework for Hyperbolic Problems: Two-Dimensional Case	4
Exact Solution of the Riemann Problem for the One-Dimensional Blood Flow Equations with General Constant Momentum Correction Coefficient	4
A Posteriori Error Estimate of Weak Galerkin FEM for Stokes Problem Using Auxiliary Subspace Techniques	4
Full-Waveform Inversion with Unbalanced Optimal Transport Metric for Seismic Imaging	4
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	4
An Adaptive Method Based on Local Dynamic Mode Decomposition for Parametric Dynamical Systems	4
Weak Collocation Regression for Inferring Stochastic Dynamics with Lévy Noise	4
Efficient Splitting Methods Based on Modified Potentials: Numerical Integration of Linear Parabolic Problems and Imaginary Time Propagation of the Schrödinger Equation	4
Finite Difference Approximation with ADI Scheme for Two-Dimensional Keller-Segel Equations	4
New C⁰ Interior Penalty Method for Monge-Ampère Equations	4
Optimal Error Estimates of a Discontinuous Galerkin Method for Stochastic Allen-Cahn Equation Driven by Multiplicative Noise	4
MHDnet: Physics-Preserving Learning for Solving Magnetohydrodynamics Problems	4
Structured First-Layer Initialization Pre-Training Techniques to Accelerate Training Process Based on $\\varepsilon$-Rank	4
Second-Order Linear Stabilized Semi-Implicit Crank-Nicolson Scheme for the Cahn-Hilliard Model with Dynamic Boundary Conditions	4
A Network Based Approach for Unbalanced Optimal Transport on Surfaces	4
Elementary Plasma Mirror Model: Three-Dimensional Numerical Modeling and Generation of Surface Harmonics with Orbital Angular Momentum	3

An Iterative Thresholding Method for the Minimum Compliance Problem	3
Application of Computational Modelling to Particle Physics	3
High-Order Cell-Centered Lagrangian Spectral Volume Method on Curvilinear Meshes	3
Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)	3
Neural Network Based Dynamic Domain Decomposition for Multiscale Kinetic Equations	3
Numerical Study on Viscous Fingering Using Electric Fields in a Hele-Shaw Cell	3
Structure-Preserving Finite-Element Schemes for the Euler-Poisson Equations	3
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”	3
High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws	3
Multilevel Constrained Pressure-Temperature Residual Preconditioners for Large-Scale Non-Isothermal Reservoir Simulation via Restricted Additive Schwarz Algorithms	3
Entropic Multi-Relaxation-Time Lattice Boltzmann Model for Large Density Ratio Two-Phase Flows	3
Explicit Uniformly Accurate Integrators for the Relativistic Charged-Particle Dynamics under a Strong Magnetic Field	3
Order Two Superconvergence of Weak Galerkin Finite Elements for the Poisson Equation on Cuboid Meshes	3
Numerical Study of Random Kelvin-Helmholtz Instability	3
A Nonnested Augmented Subspace Method for Kohn-Sham Equation	3
Discontinuous Galerkin Method for the Coupled Dual-Porosity-Navier-Stokes Model	3
A Finite Difference Method for Some Non-Newtonian Fluids Coupled with Porous Media	3
High Moment and Pathwise Error Estimates for Fully Discrete Mixed Finite Element Approximations of Stochastic Navier-Stokes Equations with Additive Noise	3
Learning PDEs from Data on Closed Surfaces with Sparse Optimization	3
Convergence Analysis of Iterative Solution with Inexact Block Preconditioning for Weak Galerkin Finite Element Approximation of Stokes Flow	3
A GPU-Accelerated Cartesian Grid Method for PDEs on Irregular Domain	3
The Effects of Spatial Reconstruction and Flux Solver on the Performance of High-Order Finite-Volume Compressible Flow Solvers	3
The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications	3
Identification of Differential Equations by Dynamics-Guided Weighted Weak Form with Voting	3
Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems	3
Hamiltonian Reduction Using a Convolutional Auto-Encoder Coupled to a Hamiltonian Neural Network	3
Towards the Efficient Calculation of Quantity of Interest from Steady Euler Equations I: A Dual-Consistent DWR-Based $h$-Adaptive Newton-GMG Solver	3
Towards the Efficient Calculation of Quantity of Interest from Steady Euler Equations II: A CNNs-Based Automatic Implementation	3
A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems	3
A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids	3
Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations	3
Asymptotic-Preserving Neural Networks for Multiscale Kinetic Equations	3
Within-Cluster Variability Exponent for Identifying Coherent Structures in Dynamical Systems	3
High-Order Spectral Simulation of Dispersive Two-Dimensional Materials	3
Inverse Design of Strained Graphene Surfaces for Electron Control	3
Chromodynamic Lattice Boltzmann Method for the Simulation of Drops, Erythrocytes, and Other Vesicles	2
Ghost-Fluid-Based Sharp Interface Methods for Multi-Material Dynamics: A Review	2
AutoAMG($θ$): An Auto-Tuned AMG Method Based on Deep Learning for Strong Threshold	2
RBMD: A Molecular Dynamics Package Enabling to Simulate 10 Million All-Atom Particles in a Single Graphics Processing Unit	2
Two-Derivative Schemes for Low-Mach Flows	2
Solution Remapping Method with Lower Bound Preservation for Navier-Stokes Equations in Aerodynamic Shape Optimization	2
Efficient Numerical Simulations for Cahn-Hilliard and Allen-Cahn Models on Complex Surfaces with Porous and Incomplete Regions	2
A Second-Order Implicit-Explicit Scheme for the Baroclinic-Barotropic Split System of Primitive Equations	2
Stability Analysis and Structure Preserving Schemes for the Reactive Euler Equations with a New Equation of State	2
Development of a Less Dissipative Interface Variable Reconstruction to Solve the Euler Equations by Q Learning Method	2
A Multigrid Discretization of Discontinuous Galerkin Method for the Stokes Eigenvalue Problem	2
Long-Time Integration of Nonlinear Wave Equations with Neural Operators	2
A Novel High-Order Shock-Capturing Limiter for RKDG Method on Unstructured Meshes via TENO Selection Strategies	2
A Genuinely Two-Dimensional Approximate Riemann Solver with Stress Continuity for Hypo-Elastic Solids	2
An Accelerated Operator Splitting Algorithm for Solving Euler's Elastica-Based Image Inpainting and Segmentation Models	2
Monotonic Diamond and DDFV Type Finite-Volume Schemes for 2D Elliptic Problems	2
Comparison of Lattice Boltzmann, Finite Element and Volume of Fluid Multicomponent Methods for Microfluidic Flow Problems and the Jetting of Microdroplets	2
Spiking Neural Operators for Scientific Machine Learning	2
Learning Specialized Activation Functions for Physics-Informed Neural Networks	2
Steady-State-Preserving Exponential Time Differencing Runge-Kutta Methods for Computing Ground States of Rotating Bose-Einstein Condensates	2
A Stochastic Gradient Descent Method for Computational Design of Random Rough Surfaces in Solar Cells	2
A Rate of Convergence of Weak Adversarial Neural Networks for the Second Order Parabolic PDEs	2
New Algebraic Fast Algorithms for $N$-Body Problems in Two and Three Dimensions	2
High Order Multiscale Methods for Advection-Diffusion Equation in Highly Oscillatory Regimes: Application to Surfactant Diffusion and Generalization to Arbitrary Domains	2
Hybrid Finite Difference Fifth-Order Multi-Resolution WENO Scheme for Hamilton-Jacobi Equations	2
Neural-Network-Augmented Empirical Interpolation Method for Field Reconstruction with Noise and Vibration Tolerance	2
A Provably Positive-Preserving HLLD Riemann Solver for Ideal Magnetohydrodynamics. Part I: The One-Dimensional Case	2
AFEPack: A General-Purpose C++ Library for Numerical Solutions of Partial Differential Equations	2
FEALPy: A Cross-platform Intelligent Numerical Simulation Engine	2
A Rationale from a Frequency Perspective for Grokking in Training Neural Networks	2
StringNET: Neural Network Based Variational Method for Transition Pathways	2
Analysis of a Mixed Finite Element Method for Stochastic Cahn-Hilliard Equation with Multiplicative Noise	2
An Efficient High-Order Gas-Kinetic Scheme with Hybrid WENO-AO Method for the Euler and Navier-Stokes Solutions	2
High Order Bound- and Positivity-Preserving Finite Difference Affine-Invariant AWENO Scheme for the Five-Equation Model of Two-Medium Flows	2
Preface	2
Benchmark Computation of Morphological Complexity in the Functionalized Cahn-Hilliard Gradient Flow	2
Asymptotically Stable Particle-in-Cell Methods for the Magnetized Vlasov–Poisson Equations in Orthogonal Curvilinear Coordinates	2
A New Function Space from Barron Class and Application to Neural Network Approximation	2
An Efficient Second-Order Discontinuous Finite Volume Element Scheme for the Three-Dimensional Neutron Transport Equations	2
Quantum Circuits for Black-Scholes Equations via Schrödingerisation	2
Lattice Boltzmann Modeling of Non-Newtonian Fluid Flows Under Non-Linear Slip Velocity Boundary Conditions in Microchannels	2
Application of Continuous Data Assimilation in High-Resolution Ocean Modeling	2
Effective Force Stabilising Technique for the Immersed Boundary Method	2
A One-Dimensional Second-Order Cell-Centered Lagrangian Scheme Satisfying the Entropy Condition	2
A Highly Efficient CN-Like Scheme for the Transient Wigner Equation	2

A Characteristic Mapping Method for Vlasov-Poisson with Extreme Resolution Properties	2
Deep Learning-Based Computational Method for Soft Matter Dynamics: Deep Onsager-Machlup Method	2
General Synthetic Iterative Scheme for Unsteady Rarefied Gas Flows	2
A Weak Galerkin Finite Element Method Coupled with Mortar Spectral Element Method for Schr�dinger Eigenvalue Problem with an Inverse Square Potential	2
Maximum-Principle-Preserving and Positivity-Preserving Central WENO Schemes on Overlapping Meshes	2
Symmetry Preservation by a Compatible Staggered Lagrangian Scheme Using the Control-Volume Discretization Method in $r–z$ Coordinate	1
A Modified Characteristic-Wise WENO Reconstruction for Capturing the Contact Discontinuity in Multi-Component Flows	1
Local Discontinuous Galerkin Method for Nonlinear BSPDEs of Neumann Boundary Conditions with Deep Backward Dynamic Programming Time-Marching	1
Weak Galerkin Method for Second-Order Elliptic Equations with Newton Boundary Condition	1
A Mixed Finite Element Method for the Stochastic Boussinesq Equations with Multiplicative Noise	1
Development and Analysis of an Explicit DG Method for Huygens Metasurfaces	1
A Determinant Aided Fixed Point Method for Nonlinear Coupled Constitutive Relation of Rarefied Nonequilibrium Flows	1
An Adaptive Polygonal Finite Volume Element Method Based on the Mean Value Coordinates for Anisotropic Diffusion Problems	1
Aerodynamic Performance and Data-Driven Optimization of Flow Past an Inclined Rounded Square Cylinder	1
A Normalizing Field Flow Induced Two-Stage Stochastic Homogenization Method for Random Composite Materials	1
A Comparative Study of Hydrodynamic Lattice Boltzmann Equation in Phase-Field-Based Multiphase Flow Models	1
A New Approximate Method to Mean Field Stochastic Differential Equation with One-Sided Lipschitz Drift Coefficient	1
Modelling and Numerical Shape and Topology Optimization for a Hemivariational Inequality in Stokes Flows with Slip Boundary Conditions	1
The Positivity-Preserving Finite Volume Coupled with Finite Element Method for the Keller-Segel-Navier-Stokes Model	1
A Moving Mesh Finite Element Method for Bernoulli Free Boundary Problems	1
Transition Pathways in Cylinder-Gyroid Interface	1
A Fast Cartesian Grid-Based Integral Equation Method for Unbounded Interface Problems with Non-Homogeneous Source Terms	1
Variational Low-Light Image Enhancement Based on Fractional-Order Differential	1
A Second-Order Langevin Sampler Preserving Positive Volume for Isothermal–Isobaric Ensemble	1
Inexact Block LU Preconditioners for Incompressible Fluids with Flow Rate Conditions	1
An Explicit Multi-Time Stepping Algorithm for Multi-Time Scale Coupling Problems in SPH	1
Three Dimensional Dynamics of Polar Fluids: A Lattice Boltzmann Approach	1
Analysis of Discontinuity Detectors and Hybrid WCNS Schemes Based on Waveform Recognition	1
A Novel and Highly Accurate Node-Type Quadrature Approach for Fractional Laplacian and its Application in Numerically Solving Fractional Poisson Equation	1
Sixth-Order Compact Finite Difference Method for 2D Helmholtz Equations with Singular Sources and Reduced Pollution Effect	1
Hybrid CPR-CNNW Scheme for Solving Reactive Euler Equations	1
An Arbitrary Order Mixed Finite Element Method with Boundary Value Correction for the Darcy Flow on Curved Domains	1
A Five-Point TENO Scheme with Adaptive Dissipation Based on a New Scale Sensor	1
Deep Learning via Neural Energy Descent	1
A Deep Learning Approach for Computing Equilibrium Shapes of Crystals	1
Fast-Converging and Asymptotic-Preserving Simulation of Frequency Domain Thermoreflectance	1
A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems	1
Generalized Lagrangian Neural Networks	1
A Class of Second-Order Energy-Stable Schemes for the Cahn-Hilliard Equation and Their Linear Iteration Algorithm	1
A Lightweight Data-Driven Model Enhanced Discontinuous Galerkin Method for Rapidly Simulating Transonic Airfoil Flowfields	1
Mortar Finite Element Method for the Coupling of Time Dependent Navier-Stokes and Darcy Equations	1
Lattice Boltzmann Modeling of Cholesteric Liquid Crystal Droplets Under an Oscillatory Electric Field	1
Kinetic Representation of the Unified Gas-Kinetic Wave-Particle Method and Beyond	1
Improved Randomized Neural Network Methods with Boundary Processing for Solving Elliptic Equations	1
A High Order Positivity-Preserving Discontinuous Galerkin Remapping Method Based on a Moving Mesh Solver for ALE Simulation of the Compressible Fluid Flow	1
A Fast Offline/Online Forward Solver for Stationary Transport Equation with Multiple Inflow Boundary Conditions and Varying Coefficients	1
Solution of Inverse Geometric Problems Using a Non-Iterative MFS	1
Structure-Preserving SAV-RK$s$ Spectral Methods for Nonlinear Hamiltonian System	1
Numerical Solution of the Incompressible Navier-Stokes Equation by a Deep Branching Algorithm	1
A Locking-Free Weak Galerkin Finite Element Method for Linear Elasticity Problems Based on a Reconstruction Operator	1
A Curvature-Corrected Split Total Scaled-Gradient Variation Framework for Image Segmentation	1
Electromagnetic Gyrokinetic Simulation of Tokamak Plasma with Semi-Lagrangian Scheme	1
Numerical Reconstruction of Locally Rough Surfaces with a Newton Iterative Algorithm	1
Adaptive Reconstruction Method Using Discontinuity Feedback for High-Order Accuracy Schemes	1
Computational Method of Grain Boundary Energy Consistent for Different Orientations and Applications to Double Gyroid Beyond Twinning	1
Adaptive Neural Network Basis Methods for Partial Differential Equations with Low-Regular Solutions	1
A Robust and Efficient Multiphysics Numerical Framework Empowered by Artificial Neural Networks for Intensive Blast Wave Propagation in Complex Environments	1
Data Generation-Based Operator Learning for Solving Partial Differential Equations on Unbounded Domains	1
Reconstruction of Dynamical Systems Without Time Label	1
Closed-Loop Geothermal Systems: Modeling and Predictions	1
Adaptive Interface-PINNs (AdaI-PINNs): An Efficient Physics-Informed Neural Networks Framework for Interface Problems	1
A Two-Dimensional Third-Order CESE Scheme for Ideal MHD Equations	1
The Effect of Global Smoothness on the Accuracy of Treecodes	1
Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Scheme for the Thermal Rotating Shallow Water Equations	1