OOIR: Observatory of International Research

Papers

(The TQCC of Communications in Computational Physics is 3. 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 2022-08-01 to 2026-08-01.)

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
Convergence Analysis of PINNs with Over-Parameterization	16
An Improved Diffuse-Interface Lattice Boltzmann Method for Particulate Flows	16
Mandelic Acid Single-Crystal Growth: Experiments VS Numerical Simulations	15
A Multiscale Algorithm to Drastically Reduce Computational Times when Simulating Liquid/Solid Interaction at Atomic Resolution with Realistic Hydrodynamics Effects	13
A Third-Order Weighted Essentially Non-Oscillatory Compact Least-Squares Scheme for Hyperbolic Conservation Laws on Non-Uniform Grids	13
Tree-Based Implementation of the Small Matrix Path Integral for System-Bath Dynamics	12
Dynamical Demixing of a Binary Mixture Under Sedimentation	11
Adaptive Ensemble Kalman Inversion with Statistical Linearization	11
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
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
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
Geometric Decomposition and Efficient Implementation of High Order Face and Edge Elements	9
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
Dimension-Free Ergodicity of Path Integral Molecular Dynamics	8
Solving Multi-Group Neutron Diffusion Eigenvalue Problem with Decoupling Residual Loss Function	8
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
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
A Penalty-Free or Penalty-Factor-Free DG Method with a Locally Reconstructed Curl Operator for the Maxwell Eigenproblem	6
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 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
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
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
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
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
The Effects of Spatial Reconstruction and Flux Solver on the Performance of High-Order Finite-Volume Compressible Flow Solvers	3
Asymptotic-Preserving Neural Networks for Multiscale Kinetic Equations	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
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
Within-Cluster Variability Exponent for Identifying Coherent Structures in Dynamical Systems	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 Spectral Simulation of Dispersive Two-Dimensional Materials	3
High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws	3
Inverse Design of Strained Graphene Surfaces for Electron Control	3
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
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
Multilevel Constrained Pressure-Temperature Residual Preconditioners for Large-Scale Non-Isothermal Reservoir Simulation via Restricted Additive Schwarz Algorithms	3
A GPU-Accelerated Cartesian Grid Method for PDEs on Irregular Domain	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
Hamiltonian Reduction Using a Convolutional Auto-Encoder Coupled to a Hamiltonian Neural Network	3