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 2021-09-01 to 2025-09-01.)

Article	Citations
Capturing Vertical Information in Radially Symmetric Flow Using Hyperbolic Shallow Water Moment Equations	30
Mandelic Acid Single-Crystal Growth: Experiments VS Numerical Simulations	21
Monotonicity Correction for the Finite Element Method of Anisotropic Diffusion Problems	19
On the Solution Accuracy Downstream of Shocks When Using Godunov-Type Schemes. I. Sources of Errors in One-Dimensional Problems	19
Asymptotic-Preserving Discretization of Three-Dimensional Plasma Fluid Models	15
High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes	14
Convergence Analysis of PINNs with Over-Parameterization	14
A Well-Balanced Positivity-Preserving Quasi-Lagrange Moving Mesh DG Method for the Shallow Water Equations	14
An Improved Diffuse-Interface Lattice Boltzmann Method for Particulate Flows	13
A Simulation Approach Including Underresolved Scales for Two-Component Fluid Flows in Multiscale Porous Structures	13
A Priori Subcell Limiting Approach for the FR/CPR Method on Unstructured Meshes	13
Numerical Integrators for Dispersion-Managed KdV Equation	12
A Conservative and Monotone Characteristic Finite Element Solver for Three-Dimensional Transport and Incompressible Navier-Stokes Equations on Unstructured Grids	12
Tree-Based Implementation of the Small Matrix Path Integral for System-Bath Dynamics	12
Splitting Physics-Informed Neural Networks for Inferring the Dynamics of Integer- and Fractional-Order Neuron Models	12
Adaptive Ensemble Kalman Inversion with Statistical Linearization	12
Dynamical Demixing of a Binary Mixture Under Sedimentation	12
A Parallel Domain Decomposition Method for the Fully-Mixed Stokes-Dual-Permeability Fluid Flow Model with Beavers-Joseph Interface Conditions	11
A Mixed Finite Element Scheme for Biharmonic Equation with Variable Coefficient and von Kármán Equations	11
Thermal Regulation in Thin Vascular Systems: A Sensitivity Analysis	11
A New Upwind Finite Volume Element Method for Convection-Diffusion-Reaction Problems on Quadrilateral Meshes	11
Geometric Decomposition and Efficient Implementation of High Order Face and Edge Elements	11
Kinetic Slip Boundary Condition for Isothermal Rarefied Gas Flows Through Static Non-Planar Geometries Based on the Regularized Lattice-Boltzmann Method	11
High Order Deep Neural Network for Solving High Frequency Partial Differential Equations	9
Application of MUSIC Algorithm for Object Localization Without Diagonal Elements of Multi-Static Response Matrix	9

The Lowest-Order Stabilized Virtual Element Method for the Stokes Problem	9
A Second-Order Length-Preserving and Unconditionally Energy Stable Rotational Discrete Gradient Method for Oseen-Frank Gradient Flows	9
Modeling of Bound Electron Effects in Particle-in-Cell Simulation	9
Stabilized Continuous Linear Element Method for the Biharmonic Problems	9
Active Nematodynamics on Curved Surfaces – The Influence of Geometric Forces on Motion Patterns of Topological Defects	8
A Quadratic Serendipity Finite Volume Element Method on Arbitrary Convex Polygonal Meshes	8
A 2D Fourth-Order CESE Scheme for Solving the Ideal MHD Equations	8
A Noise and Vibration Tolerant ResNet for Field Reconstruction with Sparse Sensors	8
A Kolmogorov High Order Deep Neural Network for High Frequency Partial Differential Equations in High Dimensions	8
A Simple GPU Implementation of Spectral-Element Methods for Solving 3D Poisson Type Equations on Rectangular Domains and Its Applications	8
An Augmented Lagrangian Deep Learning Method for Variational Problems with Essential Boundary Conditions	7
Mesh Adaptation for Curing the Pathological Behaviors of an Upwind Scheme	7
A Parallel Fully Implicit Unstructured Finite Volume Lattice Boltzmann Method for Incompressible Flows	6
Fast Implementation of FEM for Integral Fractional Laplacian on Rectangular Meshes	6
Two-Scale Neural Networks for Partial Differential Equations with Small Parameters	6
Modeling Thermal Regulation in Thin Vascular Systems: A Mathematical Analysis	6
An Efficient Iterative Method for the Formulation of Flow Networks	6
Anomalous Sorption Kinetics of Self-Interacting Particles by a Spherical Trap	6
Unconstrained ETD Methods on the Diffuse-Interface Model with the Peng-Robinson Equation of State	6
Unified Gas-Kinetic Wave-Particle Methods VI: Disperse Dilute Gas-Particle Multiphase Flow	6
A Penalty-Free or Penalty-Factor-Free DG Method with a Locally Reconstructed Curl Operator for the Maxwell Eigenproblem	6
Extension of Near-Wall Domain Decomposition to Modeling Flows with Laminar-Turbulent Transition	6
Frame Invariance and Scalability of Neural Operators for Partial Differential Equations	5
A Well-Balanced Lattice Boltzmann Model for Binary Fluids Based on the Incompressible Phase-Field Theory	5
Optimal Error Estimates of a Discontinuous Galerkin Method for Stochastic Allen-Cahn Equation Driven by Multiplicative Noise	5
A DDG Method with a Residual-Based Artificial Viscosity for the Transonic/Supersonic Compressible Flow	5
Reliability Investigation of BiCGStab and IDR Solvers for the Advection-Diffusion-Reaction Equation	5
A Quantitative Comparison of Physical Accuracy and Numerical Stability of Lattice Boltzmann Color Gradient and Pseudopotential Multicomponent Models for Microfluidic Applications	5
An Adaptive Modal Discontinuous Galerkin Finite Element Parallel Method Using Unsplit Multi-Axial Perfectly Matched Layer for Seismic Wave Modeling	5
A Simple Strategy for Multi-Material Diffusion and Its Application to Three-Temperature Multi-Material Flows	5
Nonconforming Finite Elements for the −curl∆curl and Brinkman Problems on Cubical Meshes	5
MHDnet: Physics-Preserving Learning for Solving Magnetohydrodynamics Problems	5
On the Monotonicity of $Q^2$ Spectral Element Method for Laplacian on Quasi-Uniform Rectangular Meshes	5
An Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Scheme for Compressible Multi-Material Flows on Adaptive Quadrilateral Meshes	5
Second-Order Linear Stabilized Semi-Implicit Crank-Nicolson Scheme for the Cahn-Hilliard Model with Dynamic Boundary Conditions	4
Finite Difference Approximation with ADI Scheme for Two-Dimensional Keller-Segel Equations	4
A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains	4
Immersed Boundary Approach to Biofilm Spread on Surfaces	4
A Posteriori Error Estimate of Weak Galerkin FEM for Stokes Problem Using Auxiliary Subspace Techniques	4
A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids	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
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
Well-Balanced Central Scheme for the System of MHD Equations with Gravitational Source Term	4
A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems	4
Numerical Study on Viscous Fingering Using Electric Fields in a Hele-Shaw Cell	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 Improved Peridynamic Model with Energy-Based Micromodulus Correction Method for Fracture in Particle Reinforced Composites	4
An Adaptive Method Based on Local Dynamic Mode Decomposition for Parametric Dynamical Systems	4
Exact Solution of the Riemann Problem for the One-Dimensional Blood Flow Equations with General Constant Momentum Correction Coefficient	4

Learning PDEs from Data on Closed Surfaces with Sparse Optimization	4
High Moment and Pathwise Error Estimates for Fully Discrete Mixed Finite Element Approximations of Stochastic Navier-Stokes Equations with Additive Noise	4
Monotonic Diamond and DDFV Type Finite-Volume Schemes for 2D Elliptic Problems	3
High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws	3
AutoAMG($θ$): An Auto-Tuned AMG Method Based on Deep Learning for Strong Threshold	3
The Effects of Spatial Reconstruction and Flux Solver on the Performance of High-Order Finite-Volume Compressible Flow Solvers	3
Chromodynamic Lattice Boltzmann Method for the Simulation of Drops, Erythrocytes, and Other Vesicles	3
Asymptotic-Preserving Neural Networks for Multiscale Kinetic Equations	3
Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems	3
Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)	3
High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations	3
Multilevel Constrained Pressure-Temperature Residual Preconditioners for Large-Scale Non-Isothermal Reservoir Simulation via Restricted Additive Schwarz Algorithms	3
Direct Simulation of Charge Transport in Graphene Nanoribbons	3
The Corrected Finite Volume Element Methods for Diffusion Equations Satisfying Discrete Extremum Principle	3
Effective Force Stabilising Technique for the Immersed Boundary Method	3
A Review on Contact and Collision Methods for Multi-Body Hydrodynamic Problems in Complex Flows	3
Convergence Rate Analysis for Deep Ritz Method	3
A GPU-Accelerated Cartesian Grid Method for PDEs on Irregular Domain	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
Structure-Preserving Finite-Element Schemes for the Euler-Poisson Equations	3
Hamiltonian Reduction Using a Convolutional Auto-Encoder Coupled to a Hamiltonian Neural Network	3
Application of Computational Modelling to Particle Physics	3
A New Function Space from Barron Class and Application to Neural Network Approximation	3
Within-Cluster Variability Exponent for Identifying Coherent Structures in Dynamical Systems	3
A Symplectic Based Neural Network Algorithm for Quantum Controls under Uncertainty	3
An Efficient High-Order Gas-Kinetic Scheme with Hybrid WENO-AO Method for the Euler and Navier-Stokes Solutions	3
Entropic Multi-Relaxation-Time Lattice Boltzmann Model for Large Density Ratio Two-Phase Flows	3
The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications	3
Discontinuous Galerkin Method for the Coupled Dual-Porosity-Navier-Stokes Model	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
Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations	3
An Iterative Thresholding Method for the Minimum Compliance Problem	3
A Network Based Approach for Unbalanced Optimal Transport on Surfaces	3
Inverse Design of Strained Graphene Surfaces for Electron Control	3