OOIR: Observatory of International Research

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 2021-02-01 to 2025-02-01.)

Article	Citations
A Study of Source Term Estimators in Coupled Finite-Volume/Monte-Carlo Methods with Applications to Plasma Edge Simulations in Nuclear Fusion: Track-Length and Next-Event Methods	20
Asymptotic-Preserving Discretization of Three-Dimensional Plasma Fluid Models	14
Exact Solution of the Riemann Problem for the One-Dimensional Blood Flow Equations with General Constant Momentum Correction Coefficient	13
A Comparative Study of Two Allen-Cahn Models for Immiscible $N$-Phase Flows by Using a Consistent and Conservative Lattice Boltzmann Method	12
Second-Order Linear Stabilized Semi-Implicit Crank-Nicolson Scheme for the Cahn-Hilliard Model with Dynamic Boundary Conditions	12
On a Hybrid Approach for Recovering Multiple Obstacles	11
A New Mapped WENO Scheme Using Order-Preserving Mapping	11
VPVnet: A Velocity-Pressure-Vorticity Neural Network Method for the Stokes’ Equations under Reduced Regularity	10
Genuinely Multidimensional Physical-Constraints-Preserving Finite Volume Schemes for the Special Relativistic Hydrodynamics	10
Operator Splitting and Local Time-Stepping Methods for Transport Problems in Fractured Porous Media	10
Bjorken Flow Revisited: Analytic and Numerical Solutions in Flat Space-Time Coordinates	9
On Energy Stable Runge-Kutta Methods for the Water Wave Equation and Its Simplified Non-Local Hyperbolic Model	9
Neural Networks with Local Converging Inputs (NNLCI) for Solving Conservation Laws, Part II: 2D Problems	9
Ghost-Fluid-Based Sharp Interface Methods for Multi-Material Dynamics: A Review	9
Directional $\mathcal{H}^2$ Compression Algorithm: Optimisations and Application to a Discontinuous Galerkin BEM for the Helmholtz Equation	8
A Rate of Convergence of Weak Adversarial Neural Networks for the Second Order Parabolic PDEs	8
On the Solution Accuracy Downstream of Shocks When Using Godunov-Type Schemes. I. Sources of Errors in One-Dimensional Problems	7
Hyperbolic Divergence Cleaning in Lattice Boltzmann Magnetohydrodynamics	7
Weak Galerkin Method for Second-Order Elliptic Equations with Newton Boundary Condition	7
Numerical Solutions of the Electromagnetic Scattering by Overfilled Cavities with Inhomogeneous Anisotropic Media	7
Extrapolation Cascadic Multigrid Method for Cell-Centered FV Discretization of Diffusion Equations with Strongly Discontinuous and Anisotropic Coefficients	7
Mandelic Acid Single-Crystal Growth: Experiments VS Numerical Simulations	7
Comparison of Lattice Boltzmann, Finite Element and Volume of Fluid Multicomponent Methods for Microfluidic Flow Problems and the Jetting of Microdroplets	7
Numerical Reconstruction of Locally Rough Surfaces with a Newton Iterative Algorithm	6
An Improved Peridynamic Model with Energy-Based Micromodulus Correction Method for Fracture in Particle Reinforced Composites	6

Immersed Boundary Approach to Biofilm Spread on Surfaces	6
Efficient Splitting Methods Based on Modified Potentials: Numerical Integration of Linear Parabolic Problems and Imaginary Time Propagation of the Schrödinger Equation	6
Superconvergence Analysis of $C^m$ Finite Element Methods for Fourth-Order Elliptic Equations I: One Dimensional Case	6
High Order Finite Difference WENO Methods with Unequal-Sized Sub-Stencils for the Degasperis-Procesi Type Equations	6
New Insights on Convergence Properties of Peridynamic Models for Transient Diffusion and Elastodynamics	5
A Modeling Framework for Coupling Plasticity with Species Diffusion	5
A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains	5
A Well-Balanced Positivity-Preserving Quasi-Lagrange Moving Mesh DG Method for the Shallow Water Equations	5
General Synthetic Iterative Scheme for Unsteady Rarefied Gas Flows	5
High Order Conservative Finite Difference/Fourier Spectral Methods for Inviscid Surface Quasi-Geostrophic Flows	5
A Continuous Finite Element Method with Homotopy Vanishing Viscosity for Solving the Static Eikonal Equation	5
MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs	5
Well-Balanced Central Scheme for the System of MHD Equations with Gravitational Source Term	5
Finite Difference Approximation with ADI Scheme for Two-Dimensional Keller-Segel Equations	4
Monotonicity Correction for the Finite Element Method of Anisotropic Diffusion Problems	4
An Adaptive Method Based on Local Dynamic Mode Decomposition for Parametric Dynamical Systems	4
Analysis of a Mixed Finite Element Method for Stochastic Cahn-Hilliard Equation with Multiplicative Noise	4
A Spectral Method for a Fokker-Planck Equation in Neuroscience with Applications in Neuron Networks with Learning Rules	4
High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes	4
A Positivity-Preserving and Well-Balanced High Order Compact Finite Difference Scheme for Shallow Water Equations	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
An Improved Diffuse-Interface Lattice Boltzmann Method for Particulate Flows	4
Random Batch Particle Methods for the Homogeneous Landau Equation	4
High-Order Local Discontinuous Galerkin Method with Multi-Resolution WENO Limiter for Navier-Stokes Equations on Triangular Meshes	4
A Second Order Numerical Scheme of the Cahn-Hilliard-Navier-Stokes System with Flory-Huggins Potential	4
Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws	4
A Coupled FEM-BEM Approach for the Solution of the Free-Boundary Axi-Symmetric Plasma Equilibrium Problem	3
An Accurate and Scalable Direction-Splitting Solver for Flows Laden with Non-Spherical Rigid Bodies – Part 1: Fixed Rigid Bodies	3
Frozen Gaussian Approximation for the Dirac Equation in Curved Space with Application to Strained Graphene	3
An Interpolation-Free Cell-Centered Finite Volume Scheme for 3D Anisotropic Convection-Diffusion Equations on Arbitrary Polyhedral Meshes	3
A Data-Driven Scale-Invariant Weighted Compact Nonlinear Scheme for Hyperbolic Conservation Laws	3
A Splitting Method for Nonlinear Filtering Problems with Diffusive and Point Process Observations	3
High Moment and Pathwise Error Estimates for Fully Discrete Mixed Finite Element Approximations of Stochastic Navier-Stokes Equations with Additive Noise	3
Efficient Implementation of 3D FEM for Nonlocal Poisson Problem with Different Ball Approximation Strategies	3
Heterogeneous LBM Simulation Code with LRnLA Algorithms	3
Nonlinear Reduced DNN Models for State Estimation	3
Integral Equation Method for a Non-Selfadjoint Steklov Eigenvalue Problem	3
Learning Specialized Activation Functions for Physics-Informed Neural Networks	3
A Characteristic Mapping Method for Vlasov–Poisson with Extreme Resolution Properties	3
High Order Bound- and Positivity-Preserving Finite Difference Affine-Invariant AWENO Scheme for the Five-Equation Model of Two-Medium Flows	3
Thermal Regulation in Thin Vascular Systems: A Sensitivity Analysis	3
A Conservative and Monotone Characteristic Finite Element Solver for Three-Dimensional Transport and Incompressible Navier-Stokes Equations on Unstructured Grids	3
Numerical Study on Viscous Fingering Using Electric Fields in a Hele-Shaw Cell	3
Random Walk Approximation for Irreversible Drift-Diffusion Process on Manifold: Ergodicity, Unconditional Stability and Convergence	3
A Genuinely Two-Dimensional HLL-Type Approximate Riemann Solver for Hypo-Elastic Plastic Flow	3
A Causality-DeepONet for Causal Responses of Linear Dynamical Systems	3
Finite-Volume TENO Scheme with a New Cell-Interface Flux Evaluation Strategy for Unstructured Meshes	3
A GPU-Accelerated Cartesian Grid Method for the Heat, Wave and Schrödinger Equations on Irregular Domains	3
A Characteristic Boundary Condition for Multispeed Lattice Boltzmann Methods	2
A Posteriori Error Estimate of Weak Galerkin FEM for Stokes Problem Using Auxiliary Subspace Techniques	2

Lattice Boltzmann Simulations of Two Linear Microswimmers Using the Immersed Boundary Method	2
Numerical Integrators for Dispersion-Managed KdV Equation	2
A High Order Bound Preserving Finite Difference Linear Scheme for Incompressible Flows	2
A One-Dimensional Second-Order Cell-Centered Lagrangian Scheme Satisfying the Entropy Condition	2
A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids	2
An Efficient Nonlinear Multigrid Solver for the Simulation of Rarefied Gas Cavity Flow	2
A Simulation Approach Including Underresolved Scales for Two-Component Fluid Flows in Multiscale Porous Structures	2
Lattice Boltzmann Modeling of Miscible Multicomponent Gas Mixtures in the Rarefied Regime	2
Dynamical Demixing of a Binary Mixture Under Sedimentation	2
A Semi-Implicit Fractional Step Method Immersed Boundary Method for the Numerical Simulation of Natural Convection Non-Boussinesq Flows	2
Prediction of Moments in the Particles on Demand Method for LBM	2
A Multigrid Discretization of Discontinuous Galerkin Method for the Stokes Eigenvalue Problem	2
Adaptive Ensemble Kalman Inversion with Statistical Linearization	2
A Deep Spatio-Temporal Forecasting Model for Multi-Site Weather Prediction Post-Processing	2
Approximating the Gaussian as a Sum of Exponentials and Its Applications to the Fast Gauss Transform	2
A General Algorithm for Calculating Irreducible Brillouin Zones	2
Continuous Finite Element Subgrid Basis Functions for Discontinuous Galerkin Schemes on Unstructured Polygonal Voronoi Meshes	2
Kinetic Slip Boundary Condition for Isothermal Rarefied Gas Flows Through Static Non-Planar Geometries Based on the Regularized Lattice-Boltzmann Method	1
Lattice Boltzmann Modeling of Cholesteric Liquid Crystal Droplets Under an Oscillatory Electric Field	1
Modeling Two-Phase System in Complex Domains Based on Phase-Field Approach with Interfacial Correction	1
An Inverse Averaging Finite Element Method for Solving the Size-Modified Poisson-Nernst-Planck Equations in Ion Channel Simulations	1
Convergence Analysis for Over-Parameterized Deep Learning	1
Active Nematodynamics on Curved Surfaces – The Influence of Geometric Forces on Motion Patterns of Topological Defects	1
Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Scheme for the Thermal Rotating Shallow Water Equations	1
A Mixed Finite Element Scheme for Biharmonic Equation with Variable Coefficient and von Kármán Equations	1
A Unified Gas-Kinetic Particle Method for Frequency-Dependent Radiative Transfer Equations with Isotropic Scattering Process on Unstructured Mesh	1
A Study of Source Term Estimators in Coupled Finite-Volume/Monte-Carlo Methods with Applications to Plasma Edge Simulations in Nuclear Fusion: Analog and Collision Estimators	1
Modeling of Bound Electron Effects in Particle-in-Cell Simulation	1
A Holomorphic Operator Function Approach for the Transmission Eigenvalue Problem of Elastic Waves	1
A Gas-Kinetic Scheme for Collisional Vlasov-Poisson Equations in Cylindrical Coordinates	1
Splitting Physics-Informed Neural Networks for Inferring the Dynamics of Integer- and Fractional-Order Neuron Models	1
Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations	1
JefiPIC: A 3-D Full Electromagnetic Particle-in-Cell Simulator Based on Jefimenko’s Equations on GPU	1
An LDG Method for Stochastic Cahn-Hilliard Type Equation Driven by General Multiplicative Noise Involving Second-Order Derivative	1
A Priori Subcell Limiting Approach for the FR/CPR Method on Unstructured Meshes	1
A Well-Balanced Partial Relaxation Scheme for the Two-Dimensional Saint-Venant System	1
Tree-Based Implementation of the Small Matrix Path Integral for System-Bath Dynamics	1
Solution Remapping Method with Lower Bound Preservation for Navier-Stokes Equations in Aerodynamic Shape Optimization	1
Deep Unfitted Nitsche Method for Elliptic Interface Problems	1
Asymptotic-Preserving Neural Networks for Multiscale Kinetic Equations	1
A Parallel Domain Decomposition Method for the Fully-Mixed Stokes-Dual-Permeability Fluid Flow Model with Beavers-Joseph Interface Conditions	1
The Lowest-Order Stabilized Virtual Element Method for the Stokes Problem	1
Generalization Error Analysis of Neural Networks with Gradient Based Regularization	1
High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations	1
A Decreasing Upper Bound of the Energy for Time-Fractional Phase-Field Equations	1
Direct Simulation of Charge Transport in Graphene Nanoribbons	1
A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems	1
Some Random Batch Particle Methods for the Poisson-Nernst-Planck and Poisson-Boltzmann Equations	1
Localization in the Incommensurate Systems: A Plane Wave Study via Effective Potentials	1
An Iterative Thresholding Method for the Minimum Compliance Problem	1
AFEPack: A General-Purpose C++ Library for Numerical Solutions of Partial Differential Equations	1
High Order Deep Neural Network for Solving High Frequency Partial Differential Equations	1
Preconditioning for a Phase-Field Model with Application to Morphology Evolution in Organic Semiconductors	1
Poisson Integrators Based on Splitting Method for Poisson Systems	1
A High-Order Direct Discontinuous Galerkin Method for Variable Density Incompressible Flows	1
Symmetry Preservation by a Compatible Staggered Lagrangian Scheme Using the Control-Volume Discretization Method in $r–z$ Coordinate	1
Structure-Preserving Finite-Element Schemes for the Euler-Poisson Equations	1
Application of MUSIC Algorithm for Object Localization Without Diagonal Elements of Multi-Static Response Matrix	1
A New Upwind Finite Volume Element Method for Convection-Diffusion-Reaction Problems on Quadrilateral Meshes	1
Asymptotic-Preserving Schemes for Kinetic-Fluid Modeling of Mixture Flows	1
Towards the Efficient Calculation of Quantity of Interest from Steady Euler Equations I: A Dual-Consistent DWR-Based $h$-Adaptive Newton-GMG Solver	1
Discrete Duality Finite Volume Discretization of the Thermal-$P_N$ Radiative Transfer Equations on General Meshes	1
A Second-Order Length-Preserving and Unconditionally Energy Stable Rotational Discrete Gradient Method for Oseen-Frank Gradient Flows	1
High-Order Unified Gas-Kinetic Scheme	1
Fast MRI Reconstruction via Edge Attention	1
Quinpi: Integrating Stiff Hyperbolic Systems with Implicit High Order Finite Volume Schemes	1
A RKDG Method for 2D Lagrangian Ideal Magnetohydrodynamics Equations with Exactly Divergence-Free Magnetic Field	1
A Conservative and Positivity-Preserving Method for Solving Anisotropic Diffusion Equations with Deep Learning	1
A Sample-Wise Data Driven Control Solver for the Stochastic Optimal Control Problem with Unknown Model Parameters	1
Geometric Decomposition and Efficient Implementation of High Order Face and Edge Elements	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
Application of Continuous Data Assimilation in High-Resolution Ocean Modeling	1
Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems	1
Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)	1
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”	1
Hydrodynamic Performance of Euplectella Aspergillum: Simulating Real Life Conditions in the Abyss	1