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 2022-01-01 to 2026-01-01.)

Article	Citations
Mandelic Acid Single-Crystal Growth: Experiments VS Numerical Simulations	32
Asymptotic-Preserving Discretization of Three-Dimensional Plasma Fluid Models	24
Capturing Vertical Information in Radially Symmetric Flow Using Hyperbolic Shallow Water Moment Equations	22
On the Solution Accuracy Downstream of Shocks When Using Godunov-Type Schemes. I. Sources of Errors in One-Dimensional Problems	20
An Improved Diffuse-Interface Lattice Boltzmann Method for Particulate Flows	19
A Multiscale Algorithm to Drastically Reduce Computational Times When Simulating Liquid/Solid Interaction at Atomic Resolution with Realistic Hydrodynamics Effects	18
Convergence Analysis of PINNs with Over-Parameterization	18
High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes	17
Monotonicity Correction for the Finite Element Method of Anisotropic Diffusion Problems	16
A Third Order Bound-Preserving Nodal Discontinuous Galerkin Method for Miscible Displacements in Porous Media	16
Numerical Integrators for Dispersion-Managed KdV Equation	15
An Efficient Numerical Algorithm for Solving Coupled Time-Dependent Ginzburg-Landau Equation for Superconductivity and Elasticity	15
Splitting Physics-Informed Neural Networks for Inferring the Dynamics of Integer- and Fractional-Order Neuron Models	15
A Priori Subcell Limiting Approach for the FR/CPR Method on Unstructured Meshes	14
Thermal Regulation in Thin Vascular Systems: A Sensitivity Analysis	14
A Simulation Approach Including Underresolved Scales for Two-Component Fluid Flows in Multiscale Porous Structures	14
Adaptive Ensemble Kalman Inversion with Statistical Linearization	14
Tree-Based Implementation of the Small Matrix Path Integral for System-Bath Dynamics	12
Dynamical Demixing of a Binary Mixture Under Sedimentation	12
A Unifying Moving Mesh Method for Curves, Surfaces, and Domains Based on Mesh Equidistribution and Alignment	12
A Conservative and Monotone Characteristic Finite Element Solver for Three-Dimensional Transport and Incompressible Navier-Stokes Equations on Unstructured Grids	12
Dimension-Free Ergodicity of Path Integral Molecular Dynamics	11
A Kolmogorov High Order Deep Neural Network for High Frequency Partial Differential Equations in High Dimensions	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

Modeling of Bound Electron Effects in Particle-in-Cell Simulation	10
Application of MUSIC Algorithm for Object Localization Without Diagonal Elements of Multi-Static Response Matrix	10
A 2D Fourth-Order CESE Scheme for Solving the Ideal MHD Equations	10
A Second-Order Length-Preserving and Unconditionally Energy Stable Rotational Discrete Gradient Method for Oseen-Frank Gradient Flows	10
Stabilized Continuous Linear Element Method for the Biharmonic Problems	9
A Parallel Domain Decomposition Method for the Fully-Mixed Stokes-Dual-Permeability Fluid Flow Model with Beavers-Joseph Interface Conditions	9
Kinetic Slip Boundary Condition for Isothermal Rarefied Gas Flows Through Static Non-Planar Geometries Based on the Regularized Lattice-Boltzmann Method	9
A Simple GPU Implementation of Spectral-Element Methods for Solving 3D Poisson Type Equations on Rectangular Domains and Its Applications	8
The Lowest-Order Stabilized Virtual Element Method for the Stokes Problem	8
Active Nematodynamics on Curved Surfaces – The Influence of Geometric Forces on Motion Patterns of Topological Defects	8
High Order Deep Neural Network for Solving High Frequency Partial Differential Equations	8
A Mixed Finite Element Scheme for Biharmonic Equation with Variable Coefficient and von Kármán Equations	8
First-Principle-Like Reinforcement Learning of Nonlinear Numerical Schemes for Conservation Laws	7
A Quadratic Serendipity Finite Volume Element Method on Arbitrary Convex Polygonal Meshes	7
A Parallel Fully Implicit Unstructured Finite Volume Lattice Boltzmann Method for Incompressible Flows	7
Unconstrained ETD Methods on the Diffuse-Interface Model with the Peng-Robinson Equation of State	7
A Noise and Vibration Tolerant ResNet for Field Reconstruction with Sparse Sensors	7
Modeling Thermal Regulation in Thin Vascular Systems: A Mathematical Analysis	7
An Augmented Lagrangian Deep Learning Method for Variational Problems with Essential Boundary Conditions	7
Anomalous Sorption Kinetics of Self-Interacting Particles by a Spherical Trap	7
Mesh Adaptation for Curing the Pathological Behaviors of an Upwind Scheme	7
Nonconforming Finite Elements for the −curl∆curl and Brinkman Problems on Cubical Meshes	6
A Penalty-Free or Penalty-Factor-Free DG Method with a Locally Reconstructed Curl Operator for the Maxwell Eigenproblem	6
Frame Invariance and Scalability of Neural Operators for Partial Differential Equations	6
Extension of Near-Wall Domain Decomposition to Modeling Flows with Laminar-Turbulent Transition	6
A DDG Method with a Residual-Based Artificial Viscosity for the Transonic/Supersonic Compressible Flow	6
A Novel Structure-Preserving Algorithm with Green’s Function Approach for Computing Band Structures of Photonic Quasicrystals	6
Fast Implementation of FEM for Integral Fractional Laplacian on Rectangular Meshes	6
An Efficient Iterative Method for the Formulation of Flow Networks	6
Two-Scale Neural Networks for Partial Differential Equations with Small Parameters	6
Unified Gas-Kinetic Wave-Particle Methods VI: Disperse Dilute Gas-Particle Multiphase Flow	6
A Simple Strategy for Multi-Material Diffusion and Its Application to Three-Temperature Multi-Material Flows	6
An Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Scheme for Compressible Multi-Material Flows on Adaptive Quadrilateral Meshes	6
An Adaptive Modal Discontinuous Galerkin Finite Element Parallel Method Using Unsplit Multi-Axial Perfectly Matched Layer for Seismic Wave Modeling	6
A Well-Balanced Lattice Boltzmann Model for Binary Fluids Based on the Incompressible Phase-Field Theory	5
An Adaptive Method Based on Local Dynamic Mode Decomposition for Parametric Dynamical Systems	5
A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains	5
Weak Collocation Regression for Inferring Stochastic Dynamics with Lévy Noise	5
On the Monotonicity of $Q^2$ Spectral Element Method for Laplacian on Quasi-Uniform Rectangular 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	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
Second-Order Linear Stabilized Semi-Implicit Crank-Nicolson Scheme for the Cahn-Hilliard Model with Dynamic Boundary Conditions	5
An Improved Peridynamic Model with Energy-Based Micromodulus Correction Method for Fracture in Particle Reinforced Composites	5
A Quantitative Comparison of Physical Accuracy and Numerical Stability of Lattice Boltzmann Color Gradient and Pseudopotential Multicomponent Models for Microfluidic Applications	5
Reliability Investigation of BiCGStab and IDR Solvers for the Advection-Diffusion-Reaction Equation	5
Optimal Error Estimates of a Discontinuous Galerkin Method for Stochastic Allen-Cahn Equation Driven by Multiplicative Noise	5
Well-Balanced Central Scheme for the System of MHD Equations with Gravitational Source Term	5
Efficient Splitting Methods Based on Modified Potentials: Numerical Integration of Linear Parabolic Problems and Imaginary Time Propagation of the Schrödinger Equation	5
Exact Solution of the Riemann Problem for the One-Dimensional Blood Flow Equations with General Constant Momentum Correction Coefficient	5
MHDnet: Physics-Preserving Learning for Solving Magnetohydrodynamics Problems	5

High Moment and Pathwise Error Estimates for Fully Discrete Mixed Finite Element Approximations of Stochastic Navier-Stokes Equations with Additive Noise	4
Learning PDEs from Data on Closed Surfaces with Sparse Optimization	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
Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems	4
Immersed Boundary Approach to Biofilm Spread on Surfaces	4
Asymptotic-Preserving Neural Networks for Multiscale Kinetic Equations	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
Structure-Preserving Finite-Element Schemes for the Euler-Poisson Equations	4
A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems	4
A Posteriori Error Estimate of Weak Galerkin FEM for Stokes Problem Using Auxiliary Subspace Techniques	4
A Network Based Approach for Unbalanced Optimal Transport on Surfaces	4
Numerical Study on Viscous Fingering Using Electric Fields in a Hele-Shaw Cell	4
Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations	4
Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)	4
Hamiltonian Reduction Using a Convolutional Auto-Encoder Coupled to a Hamiltonian Neural Network	4
High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations	4
A Nonnested Augmented Subspace Method for Kohn-Sham Equation	4
Application of Computational Modelling to Particle Physics	4
Finite Difference Approximation with ADI Scheme for Two-Dimensional Keller-Segel Equations	4
High-Order Cell-Centered Lagrangian Spectral Volume Method on Curvilinear Meshes	4
A GPU-Accelerated Cartesian Grid Method for PDEs on Irregular Domain	4
A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids	4
Direct Simulation of Charge Transport in Graphene Nanoribbons	4
Discontinuous Galerkin Method for the Coupled Dual-Porosity-Navier-Stokes Model	4
A Stochastic Gradient Descent Method for Computational Design of Random Rough Surfaces in Solar Cells	3
Fourier Collocation and Reduced Basis Methods for Fast Modeling of Compressible Flows	3
A New Function Space from Barron Class and Application to Neural Network Approximation	3
Development of a Less Dissipative Interface Variable Reconstruction to Solve the Euler Equations by Q Learning Method	3
Convergence Rate Analysis for Deep Ritz Method	3
A Review on Contact and Collision Methods for Multi-Body Hydrodynamic Problems in Complex Flows	3
RBMD: A Molecular Dynamics Package Enabling to Simulate 10 Million All-Atom Particles in a Single Graphics Processing Unit	3
High-Order Spectral Simulation of Dispersive Two-Dimensional Materials	3
A Symplectic Based Neural Network Algorithm for Quantum Controls under Uncertainty	3
Deep Learning-Based Computational Method for Soft Matter Dynamics: Deep Onsager-Machlup Method	3
A Second-Order Implicit-Explicit Scheme for the Baroclinic-Barotropic Split System of Primitive Equations	3
The Corrected Finite Volume Element Methods for Diffusion Equations Satisfying Discrete Extremum Principle	3
AutoAMG($θ$): An Auto-Tuned AMG Method Based on Deep Learning for Strong Threshold	3
The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications	3
Within-Cluster Variability Exponent for Identifying Coherent Structures in Dynamical Systems	3
An Iterative Thresholding Method for the Minimum Compliance Problem	3
Monotonic Diamond and DDFV Type Finite-Volume Schemes for 2D Elliptic Problems	3
Inverse Design of Strained Graphene Surfaces for Electron Control	3
Hybrid Finite Difference Fifth-Order Multi-Resolution WENO Scheme for Hamilton-Jacobi Equations	3
Lattice Boltzmann Modeling of Non-Newtonian Fluid Flows Under Non-Linear Slip Velocity Boundary Conditions in Microchannels	3
Effective Force Stabilising Technique for the Immersed Boundary Method	3
An Efficient High-Order Gas-Kinetic Scheme with Hybrid WENO-AO Method for the Euler and Navier-Stokes Solutions	3
High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws	3
Multilevel Constrained Pressure-Temperature Residual Preconditioners for Large-Scale Non-Isothermal Reservoir Simulation via Restricted Additive Schwarz Algorithms	3
The Effects of Spatial Reconstruction and Flux Solver on the Performance of High-Order Finite-Volume Compressible Flow Solvers	3
Entropic Multi-Relaxation-Time Lattice Boltzmann Model for Large Density Ratio Two-Phase Flows	3
Chromodynamic Lattice Boltzmann Method for the Simulation of Drops, Erythrocytes, and Other Vesicles	3