OOIR: Observatory of International Research

Papers

(The TQCC of Communications in Computational Physics is 4. 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.)

Article	Citations
Asymptotic-Preserving Discretization of Three-Dimensional Plasma Fluid Models	37
An Efficient Numerical Algorithm for Solving Coupled Time-Dependent Ginzburg-Landau Equation for Superconductivity and Elasticity	26
A Third Order Bound-Preserving Nodal Discontinuous Galerkin Method for Miscible Displacements in Porous Media	26
The Implicit Unified Gas Kinetic Scheme for Neutron Transport with Arbitrary Anisotropic Scattering Model	25
On the Solution Accuracy Downstream of Shocks When Using Godunov-Type Schemes. I. Sources of Errors in One-Dimensional Problems	24
Capturing Vertical Information in Radially Symmetric Flow Using Hyperbolic Shallow Water Moment Equations	24
Mandelic Acid Single-Crystal Growth: Experiments VS Numerical Simulations	20
An Improved Diffuse-Interface Lattice Boltzmann Method for Particulate Flows	20
Convergence Analysis of PINNs with Over-Parameterization	20
A Multiscale Algorithm to Drastically Reduce Computational Times when Simulating Liquid/Solid Interaction at Atomic Resolution with Realistic Hydrodynamics Effects	19
Thermal Regulation in Thin Vascular Systems: A Sensitivity Analysis	18
Tree-Based Implementation of the Small Matrix Path Integral for System-Bath Dynamics	18
Dynamical Demixing of a Binary Mixture Under Sedimentation	18
Adaptive Ensemble Kalman Inversion with Statistical Linearization	17
A Conservative and Monotone Characteristic Finite Element Solver for Three-Dimensional Transport and Incompressible Navier-Stokes Equations on Unstructured Grids	17
A Simulation Approach Including Underresolved Scales for Two-Component Fluid Flows in Multiscale Porous Structures	16
A Priori Subcell Limiting Approach for the FR/CPR Method on Unstructured Meshes	16
A Unifying Moving Mesh Method for Curves, Surfaces, and Domains Based on Mesh Equidistribution and Alignment	15
Splitting Physics-Informed Neural Networks for Inferring the Dynamics of Integer- and Fractional-Order Neuron Models	15
A Temporal Second-Order Positive-Preserving Unified Gas-Kinetic Scheme for Gray Radiative Transfer Equations	14
Dimension-Free Ergodicity of Path Integral Molecular Dynamics	14
Geometric Decomposition and Efficient Implementation of High Order Face and Edge Elements	14
A Kolmogorov High Order Deep Neural Network for High Frequency Partial Differential Equations in High Dimensions	14
A New Upwind Finite Volume Element Method for Convection-Diffusion-Reaction Problems on Quadrilateral Meshes	13
A Second-Order Length-Preserving and Unconditionally Energy Stable Rotational Discrete Gradient Method for Oseen-Frank Gradient Flows	12

Do We Need Decay-Preserving Error Estimate for Solving Parabolic Equations with Initial Singularity?	12
Modeling of Bound Electron Effects in Particle-in-Cell Simulation	12
Solving Multi-Group Neutron Diffusion Eigenvalue Problem with Decoupling Residual Loss Function	12
Application of MUSIC Algorithm for Object Localization Without Diagonal Elements of Multi-Static Response Matrix	12
Obituary: Professor Jiequan Li	12
A 2D Fourth-Order CESE Scheme for Solving the Ideal MHD Equations	11
A Parallel Domain Decomposition Method for the Fully-Mixed Stokes-Dual-Permeability Fluid Flow Model with Beavers-Joseph Interface Conditions	10
Stabilized Continuous Linear Element Method for the Biharmonic Problems	10
Ruminated Tensor Decomposition Method for High-Resolution Hyperbolic Solver with Minmod Slope-Limiter	9
High Order Deep Neural Network for Solving High Frequency Partial Differential Equations	9
A Simple GPU Implementation of Spectral-Element Methods for Solving 3D Poisson Type Equations on Rectangular Domains and Its Applications	9
Active Nematodynamics on Curved Surfaces – The Influence of Geometric Forces on Motion Patterns of Topological Defects	9
A Mixed Finite Element Scheme for Biharmonic Equation with Variable Coefficient and von Kármán Equations	9
The Lowest-Order Stabilized Virtual Element Method for the Stokes Problem	9
An Augmented Lagrangian Deep Learning Method for Variational Problems with Essential Boundary Conditions	8
A Novel Structure-Preserving Algorithm with Green’s Function Approach for Computing Band Structures of Photonic Quasicrystals	8
Unconstrained ETD Methods on the Diffuse-Interface Model with the Peng-Robinson Equation of State	8
First-Principle-Like Reinforcement Learning of Nonlinear Numerical Schemes for Conservation Laws	8
A Penalty-Free or Penalty-Factor-Free DG Method with a Locally Reconstructed Curl Operator for the Maxwell Eigenproblem	8
Fast Implementation of FEM for Integral Fractional Laplacian on Rectangular Meshes	8
A Noise and Vibration Tolerant ResNet for Field Reconstruction with Sparse Sensors	8
A Holomorphic Operator Function Approach for the Modified Transmission Eigenvalue Problem	8
Kinetic Slip Boundary Condition for Isothermal Rarefied Gas Flows Through Static Non-Planar Geometries Based on the Regularized Lattice-Boltzmann Method	8
Mesh Adaptation for Curing the Pathological Behaviors of an Upwind Scheme	8
A DDG Method with a Residual-Based Artificial Viscosity for the Transonic/Supersonic Compressible Flow	7
A Parallel Fully Implicit Unstructured Finite Volume Lattice Boltzmann Method for Incompressible Flows	7
Modeling Thermal Regulation in Thin Vascular Systems: A Mathematical Analysis	7
Nonconforming Finite Elements for the −curl∆curl and Brinkman Problems on Cubical Meshes	7
A Simple Strategy for Multi-Material Diffusion and Its Application to Three-Temperature Multi-Material Flows	7
A Quadratic Serendipity Finite Volume Element Method on Arbitrary Convex Polygonal Meshes	7
United Filter for Jointly Estimating State and Parameters of Stochastic Dynamical Systems	7
Two-Scale Neural Networks for Partial Differential Equations with Small Parameters	7
Frame Invariance and Scalability of Neural Operators for Partial Differential Equations	7
Anomalous Sorption Kinetics of Self-Interacting Particles by a Spherical Trap	7
Thermodynamically Consistent Modeling and Energy Stable Numerical Simulation of Multicomponent Compressible Flow in Poroelastic Media	7
Extension of Near-Wall Domain Decomposition to Modeling Flows with Laminar-Turbulent Transition	7
A Quantitative Comparison of Physical Accuracy and Numerical Stability of Lattice Boltzmann Color Gradient and Pseudopotential Multicomponent Models for Microfluidic Applications	6
An Adaptive Modal Discontinuous Galerkin Finite Element Parallel Method Using Unsplit Multi-Axial Perfectly Matched Layer for Seismic Wave Modeling	6
Reliability Investigation of BiCGStab and IDR Solvers for the Advection-Diffusion-Reaction Equation	6
MHDnet: Physics-Preserving Learning for Solving Magnetohydrodynamics Problems	6
Optimal Error Estimates of a Discontinuous Galerkin Method for Stochastic Allen-Cahn Equation Driven by Multiplicative Noise	6
A Well-Balanced Lattice Boltzmann Model for Binary Fluids Based on the Incompressible Phase-Field Theory	6
An Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Scheme for Compressible Multi-Material Flows on Adaptive Quadrilateral Meshes	6
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	6
On the Monotonicity of $Q^2$ Spectral Element Method for Laplacian on Quasi-Uniform Rectangular Meshes	6
Full-Waveform Inversion with Unbalanced Optimal Transport Metric for Seismic Imaging	6
Immersed Boundary Approach to Biofilm Spread on Surfaces	5
Efficient Splitting Methods Based on Modified Potentials: Numerical Integration of Linear Parabolic Problems and Imaginary Time Propagation of the Schrödinger Equation	5
Finite Difference Approximation with ADI Scheme for Two-Dimensional Keller-Segel Equations	5
A Nonnested Augmented Subspace Method for Kohn-Sham Equation	5

Learning PDEs from Data on Closed Surfaces with Sparse Optimization	5
Well-Balanced Central Scheme for the System of MHD Equations with Gravitational Source Term	5
Weak Collocation Regression for Inferring Stochastic Dynamics with Lévy Noise	5
Exact Solution of the Riemann Problem for the One-Dimensional Blood Flow Equations with General Constant Momentum Correction Coefficient	5
Structured First-Layer Initialization Pre-Training Techniques to Accelerate Training Process Based on $\\varepsilon$-Rank	5
A Network Based Approach for Unbalanced Optimal Transport on Surfaces	5
High Moment and Pathwise Error Estimates for Fully Discrete Mixed Finite Element Approximations of Stochastic Navier-Stokes Equations with Additive Noise	5
A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains	5
An Adaptive Method Based on Local Dynamic Mode Decomposition for Parametric Dynamical Systems	5
An Improved Peridynamic Model with Energy-Based Micromodulus Correction Method for Fracture in Particle Reinforced Composites	5
Application of Computational Modelling to Particle Physics	5
A Posteriori Error Estimate of Weak Galerkin FEM for Stokes Problem Using Auxiliary Subspace Techniques	5
A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids	5
Second-Order Linear Stabilized Semi-Implicit Crank-Nicolson Scheme for the Cahn-Hilliard Model with Dynamic Boundary Conditions	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
High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations	4
Convergence Analysis of Iterative Solution with Inexact Block Preconditioning for Weak Galerkin Finite Element Approximation of Stokes Flow	4
Numerical Study on Viscous Fingering Using Electric Fields in a Hele-Shaw Cell	4
Structure-Preserving Finite-Element Schemes for the Euler-Poisson Equations	4
An Iterative Thresholding Method for the Minimum Compliance Problem	4
The Effects of Spatial Reconstruction and Flux Solver on the Performance of High-Order Finite-Volume Compressible Flow Solvers	4
Asymptotic-Preserving Neural Networks for Multiscale Kinetic Equations	4
Elementary Plasma Mirror Model: Three-Dimensional Numerical Modeling and Generation of Surface Harmonics with Orbital Angular Momentum	4
A GPU-Accelerated Cartesian Grid Method for PDEs on Irregular Domain	4
Discontinuous Galerkin Method for the Coupled Dual-Porosity-Navier-Stokes Model	4
A Finite Difference Method for Some Non-Newtonian Fluids Coupled with Porous Media	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
Hamiltonian Reduction Using a Convolutional Auto-Encoder Coupled to a Hamiltonian Neural Network	4
Multilevel Constrained Pressure-Temperature Residual Preconditioners for Large-Scale Non-Isothermal Reservoir Simulation via Restricted Additive Schwarz Algorithms	4
High-Order Spectral Simulation of Dispersive Two-Dimensional Materials	4
Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems	4
The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications	4
Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations	4
Towards the Efficient Calculation of Quantity of Interest from Steady Euler Equations II: A CNNs-Based Automatic Implementation	4
A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems	4
Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)	4
Identification of Differential Equations by Dynamics-Guided Weighted Weak Form with Voting	4
Inverse Design of Strained Graphene Surfaces for Electron Control	4
Within-Cluster Variability Exponent for Identifying Coherent Structures in Dynamical Systems	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
High-Order Cell-Centered Lagrangian Spectral Volume Method on Curvilinear Meshes	4