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 2021-08-01 to 2025-08-01.)

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
On the Solution Accuracy Downstream of Shocks When Using Godunov-Type Schemes. I. Sources of Errors in One-Dimensional Problems	19
Monotonicity Correction for the Finite Element Method of Anisotropic Diffusion Problems	19
Asymptotic-Preserving Discretization of Three-Dimensional Plasma Fluid Models	15
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
A Simulation Approach Including Underresolved Scales for Two-Component Fluid Flows in Multiscale Porous Structures	13
An Improved Diffuse-Interface Lattice Boltzmann Method for Particulate Flows	13
Thermal Regulation in Thin Vascular Systems: A Sensitivity Analysis	13
High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes	13
A Priori Subcell Limiting Approach for the FR/CPR Method on Unstructured Meshes	12
Dynamical Demixing of a Binary Mixture Under Sedimentation	12
Splitting Physics-Informed Neural Networks for Inferring the Dynamics of Integer- and Fractional-Order Neuron Models	12
Geometric Decomposition and Efficient Implementation of High Order Face and Edge Elements	12
A Conservative and Monotone Characteristic Finite Element Solver for Three-Dimensional Transport and Incompressible Navier-Stokes Equations on Unstructured Grids	12
Adaptive Ensemble Kalman Inversion with Statistical Linearization	12
A Parallel Domain Decomposition Method for the Fully-Mixed Stokes-Dual-Permeability Fluid Flow Model with Beavers-Joseph Interface Conditions	11
Kinetic Slip Boundary Condition for Isothermal Rarefied Gas Flows Through Static Non-Planar Geometries Based on the Regularized Lattice-Boltzmann Method	11
Tree-Based Implementation of the Small Matrix Path Integral for System-Bath Dynamics	11
A Mixed Finite Element Scheme for Biharmonic Equation with Variable Coefficient and von Kármán Equations	11
Numerical Integrators for Dispersion-Managed KdV Equation	11
A New Upwind Finite Volume Element Method for Convection-Diffusion-Reaction Problems on Quadrilateral Meshes	10
A Second-Order Length-Preserving and Unconditionally Energy Stable Rotational Discrete Gradient Method for Oseen-Frank Gradient Flows	9
Stabilized Continuous Linear Element Method for the Biharmonic Problems	9

Application of MUSIC Algorithm for Object Localization Without Diagonal Elements of Multi-Static Response Matrix	9
Modeling of Bound Electron Effects in Particle-in-Cell Simulation	9
The Lowest-Order Stabilized Virtual Element Method for the Stokes Problem	9
High Order Deep Neural Network for Solving High Frequency Partial Differential Equations	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 Simple GPU Implementation of Spectral-Element Methods for Solving 3D Poisson Type Equations on Rectangular Domains and Its Applications	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
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	7
An Augmented Lagrangian Deep Learning Method for Variational Problems with Essential Boundary Conditions	7
Unconstrained ETD Methods on the Diffuse-Interface Model with the Peng-Robinson Equation of State	6
An Efficient Iterative Method for the Formulation of Flow Networks	6
Anomalous Sorption Kinetics of Self-Interacting Particles by a Spherical Trap	6
Fast Implementation of FEM for Integral Fractional Laplacian on Rectangular Meshes	6
A Simple Strategy for Multi-Material Diffusion and Its Application to Three-Temperature Multi-Material Flows	6
Unified Gas-Kinetic Wave-Particle Methods VI: Disperse Dilute Gas-Particle Multiphase Flow	6
Modeling Thermal Regulation in Thin Vascular Systems: A Mathematical Analysis	6
Extension of Near-Wall Domain Decomposition to Modeling Flows with Laminar-Turbulent Transition	6
An Adaptive Modal Discontinuous Galerkin Finite Element Parallel Method Using Unsplit Multi-Axial Perfectly Matched Layer for Seismic Wave Modeling	5
Frame Invariance and Scalability of Neural Operators for Partial Differential Equations	5
An Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Scheme for Compressible Multi-Material Flows on Adaptive Quadrilateral Meshes	5
Optimal Error Estimates of a Discontinuous Galerkin Method for Stochastic Allen-Cahn Equation Driven by Multiplicative Noise	5
A Quantitative Comparison of Physical Accuracy and Numerical Stability of Lattice Boltzmann Color Gradient and Pseudopotential Multicomponent Models for Microfluidic Applications	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
On the Monotonicity of $Q^2$ Spectral Element Method for Laplacian on Quasi-Uniform Rectangular Meshes	5
Second-Order Linear Stabilized Semi-Implicit Crank-Nicolson Scheme for the Cahn-Hilliard Model with Dynamic Boundary Conditions	5
Nonconforming Finite Elements for the −curl∆curl and Brinkman Problems on Cubical Meshes	5
MHDnet: Physics-Preserving Learning for Solving Magnetohydrodynamics Problems	5
A Well-Balanced Lattice Boltzmann Model for Binary Fluids Based on the Incompressible Phase-Field Theory	5
Immersed Boundary Approach to Biofilm Spread on Surfaces	5
High Moment and Pathwise Error Estimates for Fully Discrete Mixed Finite Element Approximations of Stochastic Navier-Stokes Equations with Additive Noise	4
A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids	4
Hamiltonian Reduction Using a Convolutional Auto-Encoder Coupled to a Hamiltonian Neural Network	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
A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains	4
A Posteriori Error Estimate of Weak Galerkin FEM for Stokes Problem Using Auxiliary Subspace Techniques	4
Application of Computational Modelling to Particle Physics	4
High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations	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
Weak Collocation Regression for Inferring Stochastic Dynamics with Lévy Noise	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
Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)	4
Learning PDEs from Data on Closed Surfaces with Sparse Optimization	4
An Improved Peridynamic Model with Energy-Based Micromodulus Correction Method for Fracture in Particle Reinforced Composites	4

Finite Difference Approximation with ADI Scheme for Two-Dimensional Keller-Segel Equations	4
Well-Balanced Central Scheme for the System of MHD Equations with Gravitational Source Term	4
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
An Efficient High-Order Gas-Kinetic Scheme with Hybrid WENO-AO Method for the Euler and Navier-Stokes Solutions	3
A Second-Order Implicit-Explicit Scheme for the Baroclinic-Barotropic Split System of Primitive Equations	3
Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations	3
Chromodynamic Lattice Boltzmann Method for the Simulation of Drops, Erythrocytes, and Other Vesicles	3
High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws	3
Monotonic Diamond and DDFV Type Finite-Volume Schemes for 2D Elliptic Problems	3
Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems	3
Fourier Collocation and Reduced Basis Methods for Fast Modeling of Compressible Flows	3
Entropic Multi-Relaxation-Time Lattice Boltzmann Model for Large Density Ratio Two-Phase Flows	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
Discontinuous Galerkin Method for the Coupled Dual-Porosity-Navier-Stokes Model	3
AutoAMG($θ$): An Auto-Tuned AMG Method Based on Deep Learning for Strong Threshold	3
The Corrected Finite Volume Element Methods for Diffusion Equations Satisfying Discrete Extremum Principle	3
Direct Simulation of Charge Transport in Graphene Nanoribbons	3
A Review on Contact and Collision Methods for Multi-Body Hydrodynamic Problems in Complex Flows	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
Convergence Rate Analysis for Deep Ritz Method	3
Inverse Design of Strained Graphene Surfaces for Electron Control	3
Asymptotic-Preserving Neural Networks for Multiscale Kinetic Equations	3
Effective Force Stabilising Technique for the Immersed Boundary Method	3
A New Function Space from Barron Class and Application to Neural Network Approximation	3
An Iterative Thresholding Method for the Minimum Compliance Problem	3
A Symplectic Based Neural Network Algorithm for Quantum Controls under Uncertainty	3
Structure-Preserving Finite-Element Schemes for the Euler-Poisson Equations	3
The Effects of Spatial Reconstruction and Flux Solver on the Performance of High-Order Finite-Volume Compressible Flow Solvers	3
Within-Cluster Variability Exponent for Identifying Coherent Structures in Dynamical Systems	3
The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications	3