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 2021-11-01 to 2025-11-01.)

Article	Citations
An Efficient Numerical Algorithm for Solving Coupled Time-Dependent Ginzburg-Landau Equation for Superconductivity and Elasticity	32
A Third Order Bound-Preserving Nodal Discontinuous Galerkin Method for Miscible Displacements in Porous Media	22
Monotonicity Correction for the Finite Element Method of Anisotropic Diffusion Problems	19
Capturing Vertical Information in Radially Symmetric Flow Using Hyperbolic Shallow Water Moment Equations	19
On the Solution Accuracy Downstream of Shocks When Using Godunov-Type Schemes. I. Sources of Errors in One-Dimensional Problems	16
An Improved Diffuse-Interface Lattice Boltzmann Method for Particulate Flows	16
Convergence Analysis of PINNs with Over-Parameterization	15
High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes	15
A Well-Balanced Positivity-Preserving Quasi-Lagrange Moving Mesh DG Method for the Shallow Water Equations	14
Asymptotic-Preserving Discretization of Three-Dimensional Plasma Fluid Models	14
Mandelic Acid Single-Crystal Growth: Experiments VS Numerical Simulations	14
Geometric Decomposition and Efficient Implementation of High Order Face and Edge Elements	14
Tree-Based Implementation of the Small Matrix Path Integral for System-Bath Dynamics	14
Splitting Physics-Informed Neural Networks for Inferring the Dynamics of Integer- and Fractional-Order Neuron Models	14
A Conservative and Monotone Characteristic Finite Element Solver for Three-Dimensional Transport and Incompressible Navier-Stokes Equations on Unstructured Grids	13
Dynamical Demixing of a Binary Mixture Under Sedimentation	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	12
Adaptive Ensemble Kalman Inversion with Statistical Linearization	12
Numerical Integrators for Dispersion-Managed KdV Equation	11
Kinetic Slip Boundary Condition for Isothermal Rarefied Gas Flows Through Static Non-Planar Geometries Based on the Regularized Lattice-Boltzmann Method	11
Thermal Regulation in Thin Vascular Systems: A Sensitivity Analysis	11
Stabilized Continuous Linear Element Method for the Biharmonic Problems	11
A Kolmogorov High Order Deep Neural Network for High Frequency Partial Differential Equations in High Dimensions	11
Dimension-Free Ergodicity of Path Integral Molecular Dynamics	11

A New Upwind Finite Volume Element Method for Convection-Diffusion-Reaction Problems on Quadrilateral Meshes	10
The Lowest-Order Stabilized Virtual Element Method for the Stokes Problem	10
A Parallel Domain Decomposition Method for the Fully-Mixed Stokes-Dual-Permeability Fluid Flow Model with Beavers-Joseph Interface Conditions	10
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
Modeling of Bound Electron Effects in Particle-in-Cell Simulation	9
Application of MUSIC Algorithm for Object Localization Without Diagonal Elements of Multi-Static Response Matrix	8
High Order Deep Neural Network for Solving High Frequency Partial Differential Equations	8
A Second-Order Length-Preserving and Unconditionally Energy Stable Rotational Discrete Gradient Method for Oseen-Frank Gradient Flows	8
Anomalous Sorption Kinetics of Self-Interacting Particles by a Spherical Trap	7
Mesh Adaptation for Curing the Pathological Behaviors of an Upwind Scheme	7
A 2D Fourth-Order CESE Scheme for Solving the Ideal MHD Equations	7
A Penalty-Free or Penalty-Factor-Free DG Method with a Locally Reconstructed Curl Operator for the Maxwell Eigenproblem	7
Unified Gas-Kinetic Wave-Particle Methods VI: Disperse Dilute Gas-Particle Multiphase Flow	7
A Noise and Vibration Tolerant ResNet for Field Reconstruction with Sparse Sensors	7
A Simple GPU Implementation of Spectral-Element Methods for Solving 3D Poisson Type Equations on Rectangular Domains and Its Applications	7
An Augmented Lagrangian Deep Learning Method for Variational Problems with Essential Boundary Conditions	7
A DDG Method with a Residual-Based Artificial Viscosity for the Transonic/Supersonic Compressible Flow	6
An Efficient Iterative Method for the Formulation of Flow Networks	6
Extension of Near-Wall Domain Decomposition to Modeling Flows with Laminar-Turbulent Transition	6
Two-Scale Neural Networks for Partial Differential Equations with Small Parameters	6
A Parallel Fully Implicit Unstructured Finite Volume Lattice Boltzmann Method for Incompressible Flows	6
A Simple Strategy for Multi-Material Diffusion and Its Application to Three-Temperature Multi-Material Flows	6
Frame Invariance and Scalability of Neural Operators for Partial Differential Equations	6
On the Monotonicity of $Q^2$ Spectral Element Method for Laplacian on Quasi-Uniform Rectangular Meshes	6
Modeling Thermal Regulation in Thin Vascular Systems: A Mathematical Analysis	6
Fast Implementation of FEM for Integral Fractional Laplacian on Rectangular Meshes	6
Nonconforming Finite Elements for the −curl∆curl and Brinkman Problems on Cubical Meshes	6
An Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Scheme for Compressible Multi-Material Flows on Adaptive Quadrilateral Meshes	6
A Well-Balanced Lattice Boltzmann Model for Binary Fluids Based on the Incompressible Phase-Field Theory	6
Unconstrained ETD Methods on the Diffuse-Interface Model with the Peng-Robinson Equation of State	6
A Quadratic Serendipity Finite Volume Element Method on Arbitrary Convex Polygonal Meshes	6
MHDnet: Physics-Preserving Learning for Solving Magnetohydrodynamics Problems	5
A Quantitative Comparison of Physical Accuracy and Numerical Stability of Lattice Boltzmann Color Gradient and Pseudopotential Multicomponent Models for Microfluidic Applications	5
An Improved Peridynamic Model with Energy-Based Micromodulus Correction Method for Fracture in Particle Reinforced Composites	5
Well-Balanced Central Scheme for the System of MHD Equations with Gravitational Source Term	5
Second-Order Linear Stabilized Semi-Implicit Crank-Nicolson Scheme for the Cahn-Hilliard Model with Dynamic Boundary Conditions	5
Optimal Error Estimates of a Discontinuous Galerkin Method for Stochastic Allen-Cahn Equation Driven by Multiplicative Noise	5
Reliability Investigation of BiCGStab and IDR Solvers for the Advection-Diffusion-Reaction Equation	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
An Adaptive Method Based on Local Dynamic Mode Decomposition for Parametric Dynamical Systems	5
Efficient Splitting Methods Based on Modified Potentials: Numerical Integration of Linear Parabolic Problems and Imaginary Time Propagation of the Schrödinger Equation	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
An Adaptive Modal Discontinuous Galerkin Finite Element Parallel Method Using Unsplit Multi-Axial Perfectly Matched Layer for Seismic Wave Modeling	5
Finite Difference Approximation with ADI Scheme for Two-Dimensional Keller-Segel Equations	5
Exact Solution of the Riemann Problem for the One-Dimensional Blood Flow Equations with General Constant Momentum Correction Coefficient	5
Weak Collocation Regression for Inferring Stochastic Dynamics with Lévy Noise	5
Discontinuous Galerkin Method for the Coupled Dual-Porosity-Navier-Stokes Model	4
Structure-Preserving Finite-Element Schemes for the Euler-Poisson Equations	4
High Moment and Pathwise Error Estimates for Fully Discrete Mixed Finite Element Approximations of Stochastic Navier-Stokes Equations with Additive Noise	4

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