OOIR: Observatory of International Research

Papers

(The TQCC of Communications in Computational Physics is 2. 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 2021-04-01 to 2025-04-01.)

Article	Citations
A Study of Source Term Estimators in Coupled Finite-Volume/Monte-Carlo Methods with Applications to Plasma Edge Simulations in Nuclear Fusion: Track-Length and Next-Event Methods	20
Exact Solution of the Riemann Problem for the One-Dimensional Blood Flow Equations with General Constant Momentum Correction Coefficient	16
Asymptotic-Preserving Discretization of Three-Dimensional Plasma Fluid Models	16
A Comparative Study of Two Allen-Cahn Models for Immiscible $N$-Phase Flows by Using a Consistent and Conservative Lattice Boltzmann Method	13
Second-Order Linear Stabilized Semi-Implicit Crank-Nicolson Scheme for the Cahn-Hilliard Model with Dynamic Boundary Conditions	12
A New Mapped WENO Scheme Using Order-Preserving Mapping	12
On a Hybrid Approach for Recovering Multiple Obstacles	11
VPVnet: A Velocity-Pressure-Vorticity Neural Network Method for the Stokes’ Equations under Reduced Regularity	11
Genuinely Multidimensional Physical-Constraints-Preserving Finite Volume Schemes for the Special Relativistic Hydrodynamics	11
Bjorken Flow Revisited: Analytic and Numerical Solutions in Flat Space-Time Coordinates	10
Operator Splitting and Local Time-Stepping Methods for Transport Problems in Fractured Porous Media	10
On Energy Stable Runge-Kutta Methods for the Water Wave Equation and Its Simplified Non-Local Hyperbolic Model	10
Neural Networks with Local Converging Inputs (NNLCI) for Solving Conservation Laws, Part II: 2D Problems	10
Ghost-Fluid-Based Sharp Interface Methods for Multi-Material Dynamics: A Review	10
Directional $\mathcal{H}^2$ Compression Algorithm: Optimisations and Application to a Discontinuous Galerkin BEM for the Helmholtz Equation	9
Weak Galerkin Method for Second-Order Elliptic Equations with Newton Boundary Condition	9
Mandelic Acid Single-Crystal Growth: Experiments VS Numerical Simulations	9
Extrapolation Cascadic Multigrid Method for Cell-Centered FV Discretization of Diffusion Equations with Strongly Discontinuous and Anisotropic Coefficients	9
A Rate of Convergence of Weak Adversarial Neural Networks for the Second Order Parabolic PDEs	9
On the Solution Accuracy Downstream of Shocks When Using Godunov-Type Schemes. I. Sources of Errors in One-Dimensional Problems	9
Hyperbolic Divergence Cleaning in Lattice Boltzmann Magnetohydrodynamics	8
Comparison of Lattice Boltzmann, Finite Element and Volume of Fluid Multicomponent Methods for Microfluidic Flow Problems and the Jetting of Microdroplets	8
Numerical Solutions of the Electromagnetic Scattering by Overfilled Cavities with Inhomogeneous Anisotropic Media	8
Efficient Splitting Methods Based on Modified Potentials: Numerical Integration of Linear Parabolic Problems and Imaginary Time Propagation of the Schrödinger Equation	7
Numerical Reconstruction of Locally Rough Surfaces with a Newton Iterative Algorithm	7

An Improved Peridynamic Model with Energy-Based Micromodulus Correction Method for Fracture in Particle Reinforced Composites	7
Immersed Boundary Approach to Biofilm Spread on Surfaces	7
High Order Finite Difference WENO Methods with Unequal-Sized Sub-Stencils for the Degasperis-Procesi Type Equations	7
Well-Balanced Central Scheme for the System of MHD Equations with Gravitational Source Term	6
High Order Conservative Finite Difference/Fourier Spectral Methods for Inviscid Surface Quasi-Geostrophic Flows	6
MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs	6
A Modeling Framework for Coupling Plasticity with Species Diffusion	6
Superconvergence Analysis of $C^m$ Finite Element Methods for Fourth-Order Elliptic Equations I: One Dimensional Case	6
A Positivity-Preserving and Well-Balanced High Order Compact Finite Difference Scheme for Shallow Water Equations	5
Monotonicity Correction for the Finite Element Method of Anisotropic Diffusion Problems	5
A Well-Balanced Positivity-Preserving Quasi-Lagrange Moving Mesh DG Method for the Shallow Water Equations	5
Random Batch Particle Methods for the Homogeneous Landau Equation	5
High-Order Local Discontinuous Galerkin Method with Multi-Resolution WENO Limiter for Navier-Stokes Equations on Triangular Meshes	5
A Continuous Finite Element Method with Homotopy Vanishing Viscosity for Solving the Static Eikonal Equation	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
High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes	5
New Insights on Convergence Properties of Peridynamic Models for Transient Diffusion and Elastodynamics	5
Analysis of a Mixed Finite Element Method for Stochastic Cahn-Hilliard Equation with Multiplicative Noise	4
A Second Order Numerical Scheme of the Cahn-Hilliard-Navier-Stokes System with Flory-Huggins Potential	4
Learning Specialized Activation Functions for Physics-Informed Neural Networks	4
General Synthetic Iterative Scheme for Unsteady Rarefied Gas Flows	4
Approximating Numerical Fluxes Using Fourier Neural Operators for Hyperbolic Conservation Laws	4
Virtual Body-Fitted Grid-Based Immersed Boundary Velocity Correction Method for Simulation of Incompressible Flows with Moving Boundaries	4
An Efficient Reduced-Order Model Based on Dynamic Mode Decomposition for Parameterized Spatial High-Dimensional PDEs	4
Capturing Vertical Information in Radially Symmetric Flow Using Hyperbolic Shallow Water Moment Equations	4
Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws	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
An Improved Diffuse-Interface Lattice Boltzmann Method for Particulate Flows	4
A Spectral Method for a Fokker-Planck Equation in Neuroscience with Applications in Neuron Networks with Learning Rules	4
Finite Difference Approximation with ADI Scheme for Two-Dimensional Keller-Segel Equations	4
A Splitting Method for Nonlinear Filtering Problems with Diffusive and Point Process Observations	4
A GPU-Accelerated Cartesian Grid Method for the Heat, Wave and Schrödinger Equations on Irregular Domains	4
High Order Bound- and Positivity-Preserving Finite Difference Affine-Invariant AWENO Scheme for the Five-Equation Model of Two-Medium Flows	4
A Coupled FEM-BEM Approach for the Solution of the Free-Boundary Axi-Symmetric Plasma Equilibrium Problem	3
Frozen Gaussian Approximation for the Dirac Equation in Curved Space with Application to Strained Graphene	3
An Interpolation-Free Cell-Centered Finite Volume Scheme for 3D Anisotropic Convection-Diffusion Equations on Arbitrary Polyhedral Meshes	3
Random Walk Approximation for Irreversible Drift-Diffusion Process on Manifold: Ergodicity, Unconditional Stability and Convergence	3
Learning PDEs from Data on Closed Surfaces with Sparse Optimization	3
A Conservative and Positivity-Preserving Method for Solving Anisotropic Diffusion Equations with Deep Learning	3
Finite-Volume TENO Scheme with a New Cell-Interface Flux Evaluation Strategy for Unstructured Meshes	3
Efficient Implementation of 3D FEM for Nonlocal Poisson Problem with Different Ball Approximation Strategies	3
High Moment and Pathwise Error Estimates for Fully Discrete Mixed Finite Element Approximations of Stochastic Navier-Stokes Equations with Additive Noise	3
A Genuinely Two-Dimensional HLL-Type Approximate Riemann Solver for Hypo-Elastic Plastic Flow	3
Integral Equation Method for a Non-Selfadjoint Steklov Eigenvalue Problem	3
Implicit Discrete Unified Gas Kinetic Scheme for Steady Flows of Binary Gas Mixtures	3
A Data-Driven Scale-Invariant Weighted Compact Nonlinear Scheme for Hyperbolic Conservation Laws	3
A Study of Source Term Estimators in Coupled Finite-Volume/Monte-Carlo Methods with Applications to Plasma Edge Simulations in Nuclear Fusion: Analog and Collision Estimators	3
Tree-Based Implementation of the Small Matrix Path Integral for System-Bath Dynamics	3
Numerical Study on Viscous Fingering Using Electric Fields in a Hele-Shaw Cell	3

Heterogeneous LBM Simulation Code with LRnLA Algorithms	3
An Accurate and Scalable Direction-Splitting Solver for Flows Laden with Non-Spherical Rigid Bodies – Part 1: Fixed Rigid Bodies	3
A Characteristic Mapping Method for Vlasov-Poisson with Extreme Resolution Properties	3
Thermal Regulation in Thin Vascular Systems: A Sensitivity Analysis	3
Preconditioning for a Phase-Field Model with Application to Morphology Evolution in Organic Semiconductors	3
Nonlinear Reduced DNN Models for State Estimation	2
Prediction of Moments in the Particles on Demand Method for LBM	2
A Posteriori Error Estimate of Weak Galerkin FEM for Stokes Problem Using Auxiliary Subspace Techniques	2
A Semi-Implicit Fractional Step Method Immersed Boundary Method for the Numerical Simulation of Natural Convection Non-Boussinesq Flows	2
Geometric Decomposition and Efficient Implementation of High Order Face and Edge Elements	2
A Holomorphic Operator Function Approach for the Transmission Eigenvalue Problem of Elastic Waves	2
Lattice Boltzmann Modeling of Miscible Multicomponent Gas Mixtures in the Rarefied Regime	2
A Deep Spatio-Temporal Forecasting Model for Multi-Site Weather Prediction Post-Processing	2
Continuous Finite Element Subgrid Basis Functions for Discontinuous Galerkin Schemes on Unstructured Polygonal Voronoi Meshes	2
A Multigrid Discretization of Discontinuous Galerkin Method for the Stokes Eigenvalue Problem	2
A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids	2
Approximating the Gaussian as a Sum of Exponentials and Its Applications to the Fast Gauss Transform	2
A High Order Bound Preserving Finite Difference Linear Scheme for Incompressible Flows	2
AFEPack: A General-Purpose C++ Library for Numerical Solutions of Partial Differential Equations	2
A Priori Subcell Limiting Approach for the FR/CPR Method on Unstructured Meshes	2
A General Algorithm for Calculating Irreducible Brillouin Zones	2
A One-Dimensional Second-Order Cell-Centered Lagrangian Scheme Satisfying the Entropy Condition	2
A Simulation Approach Including Underresolved Scales for Two-Component Fluid Flows in Multiscale Porous Structures	2
An Efficient Nonlinear Multigrid Solver for the Simulation of Rarefied Gas Cavity Flow	2
Dynamical Demixing of a Binary Mixture Under Sedimentation	2
Splitting Physics-Informed Neural Networks for Inferring the Dynamics of Integer- and Fractional-Order Neuron Models	2
Localization in the Incommensurate Systems: A Plane Wave Study via Effective Potentials	2
A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems	2
A High-Order Direct Discontinuous Galerkin Method for Variable Density Incompressible Flows	2
Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)	2
Numerical Integrators for Dispersion-Managed KdV Equation	2
Lattice Boltzmann Simulations of Two Linear Microswimmers Using the Immersed Boundary Method	2