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 2020-11-01 to 2024-11-01.)

Article	Citations
Natural Convection Heat Transfer in a Porous Cavity with Sinusoidal Temperature Distribution Using Cu/Water Nanofluid: Double MRT Lattice Boltzmann Method	74
Solving Allen-Cahn and Cahn-Hilliard Equations Using the Adaptive Physics Informed Neural Networks	71
A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion Problem	68
A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model	42
Deep Nitsche Method: Deep Ritz Method with Essential Boundary Conditions	37
DL-PDE: Deep-Learning Based Data-Driven Discovery of Partial Differential Equations from Discrete and Noisy Data	24
DAFI: An Open-Source Framework for Ensemble-Based Data Assimilation and Field Inversion	24
A Review on Contact and Collision Methods for Multi-Body Hydrodynamic Problems in Complex Flows	20
A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations	17
A Wavelet-Adaptive Method for Multiscale Simulation of Turbulent Flows in Flying Insects	16
Multiple-Scattering $T$-Matrix Simulations for Nanophotonics: Symmetries and Periodic Lattices	13
A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model	13
High Order Conservative Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation	13
Active Nematodynamics on Curved Surfaces – The Influence of Geometric Forces on Motion Patterns of Topological Defects	12
Physics-Driven Learning of the Steady Navier-Stokes Equations Using Deep Convolutional Neural Networks	12
Convergence Rate Analysis for Deep Ritz Method	12
Continuous Data Assimilation with a Moving Cluster of Data Points for a Reaction Diffusion Equation: A Computational Study	11
A Deep Spatio-Temporal Forecasting Model for Multi-Site Weather Prediction Post-Processing	11
On a Hybrid Approach for Recovering Multiple Obstacles	11
High Order Discretely Well-Balanced Methods for Arbitrary Hydrostatic Atmospheres	10
Grad-div Stabilized Finite Element Schemes for the Fluid-Fluid Interaction Model	10
Ensemble Gradient for Learning Turbulence Models from Indirect Observations	10
An Augmented Lagrangian Deep Learning Method for Variational Problems with Essential Boundary Conditions	10
Partitioned and Monolithic Algorithms for the Numerical Solution of Cardiac Fluid-Structure Interaction	10
Deep Unfitted Nitsche Method for Elliptic Interface Problems	10

Continuous Finite Element Subgrid Basis Functions for Discontinuous Galerkin Schemes on Unstructured Polygonal Voronoi Meshes	9
Well-Balanced Central Scheme for the System of MHD Equations with Gravitational Source Term	9
A Diffuse-Interface Lattice Boltzmann Method for the Dendritic Growth with Thermosolutal Convection	9
On False Accuracy Verification of UMUSCL Scheme	9
Phase-Field-Based Axisymmetric Lattice Boltzmann Method for Two-Phase Electro-Hydrodynamic Flows	9
A Well-Balanced Positivity-Preserving Quasi-Lagrange Moving Mesh DG Method for the Shallow Water Equations	9
Non-Intrusive Reduced Order Modeling of Convection Dominated Flows Using Artificial Neural Networks with Application to Rayleigh-Taylor Instability	9
EMPIRE-PIC: A Performance Portable Unstructured Particle-in-Cell Code	8
Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems	8
An Adaptive Modal Discontinuous Galerkin Finite Element Parallel Method Using Unsplit Multi-Axial Perfectly Matched Layer for Seismic Wave Modeling	8
A Hybrid Immersed Boundary-Lattice Boltzmann Method for Simulation of Viscoelastic Fluid Flows Interaction with Complex Boundaries	7
Unified Gas-Kinetic Wave-Particle Methods VI: Disperse Dilute Gas-Particle Multiphase Flow	7
A WENO-Based Stochastic Galerkin Scheme for Ideal MHD Equations with Random Inputs	7
Random Batch Particle Methods for the Homogeneous Landau Equation	7
Discrete-Velocity Vector-BGK Models Based Numerical Methods for the Incompressible Navier-Stokes Equations	7
PFNN-2: A Domain Decomposed Penalty-Free Neural Network Method for Solving Partial Differential Equations	7
Direct Simulation of Charge Transport in Graphene Nanoribbons	7
One-Dimensional Blood Flow with Discontinuous Properties and Transport: Mathematical Analysis and Numerical Schemes	7
A Rate of Convergence of Physics Informed Neural Networks for the Linear Second Order Elliptic PDEs	7
A Colocalized Scheme for Three-Temperature Grey Diffusion Radiation Hydrodynamics	7
A Decreasing Upper Bound of the Energy for Time-Fractional Phase-Field Equations	7
Unconditional Bound-Preserving and Energy-Dissipating Finite-Volume Schemes for the Cahn-Hilliard Equation	6
A Consensus-Based Global Optimization Method with Adaptive Momentum Estimation	6
Learning Specialized Activation Functions for Physics-Informed Neural Networks	6
Enforcing Imprecise Constraints on Generative Adversarial Networks for Emulating Physical Systems	6
A Modified Adaptive Improved Mapped WENO Method	6
High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes	6
Shallow Water Moment Models for Bedload Transport Problems	6
A Coupled FEM-BEM Approach for the Solution of the Free-Boundary Axi-Symmetric Plasma Equilibrium Problem	6
MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs	6
Full Discretization Scheme for the Dynamics of Elliptic Membrane Shell Model	5
A New Mapped WENO Scheme Using Order-Preserving Mapping	5
Solving Time Dependent Fokker-Planck Equations via Temporal Normalizing Flow	5
Solving the Faddeev-Merkuriev Equations in Total Orbital Momentum Representation via Spline Collocation and Tensor Product Preconditioning	5
A Mixed Finite Element Scheme for Quad-Curl Source and Eigenvalue Problems	5
A General Algorithm for Calculating Irreducible Brillouin Zones	5
A Second Order Numerical Scheme of the Cahn-Hilliard-Navier-Stokes System with Flory-Huggins Potential	5
Structure-Preserving Numerical Methods for Stochastic Poisson Systems	5
A Polygonal Discontinuous Galerkin Formulation for Contact Mechanics in Fluid-Structure Interaction Problems	5
Anomalous Sorption Kinetics of Self-Interacting Particles by a Spherical Trap	5
Fast One-Dimensional Convolution with General Kernels Using Sum-of-Exponential Approximation	5
Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws	5
General Synthetic Iterative Scheme for Unsteady Rarefied Gas Flows	5
Tuning Symplectic Integrators is Easy and Worthwhile	5
Saturation-Value Blind Color Image Deblurring with Geometric Spatial-Feature Prior	5
High-Order Runge-Kutta Discontinuous Galerkin Methods with a New Type of Multi-Resolution WENO Limiters on Tetrahedral Meshes	5
Localized Exponential Time Differencing Method for Shallow Water Equations: Algorithms and Numerical Study	4
Fifth-Order A-WENO Path-Conservative Central-Upwind Scheme for Behavioral Non-Equilibrium Traffic Models	4
VAE-KRnet and Its Applications to Variational Bayes	4
New Unconditionally Stable Schemes for the Navier-Stokes Equations	4

Permanent Charge Effects on Ionic Flow: A Numerical Study of Flux Ratios and Their Bifurcation	4
Heterogeneous LBM Simulation Code with LRnLA Algorithms	4
An Improved Peridynamic Model with Energy-Based Micromodulus Correction Method for Fracture in Particle Reinforced Composites	4
A New Family of Nonconforming Elements with $H$(curl)-Continuity for the 3D Quad-Curl Problem	4
Entropic Multi-Relaxation-Time Lattice Boltzmann Model for Large Density Ratio Two-Phase Flows	4
Layer-Splitting Methods for Time-Dependent Schrödinger Equations of Incommensurate Systems	4
Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Scheme for the Thermal Rotating Shallow Water Equations	4
A Priori Subcell Limiting Approach for the FR/CPR Method on Unstructured Meshes	4
A Novel Iterative Penalty Method to Enforce Boundary Conditions in Finite Volume POD-Galerkin Reduced Order Models for Fluid Dynamics Problems	4
Hybrid Diffuse and Sharp Interface Immersed Boundary Methods for Particulate Flows in the Presence of Complex Boundaries	4
A NURBS-Enhanced Finite Volume Method for Steady Euler Equations with Goal-Oriented $h$-Adaptivity	4
The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications	4
Construction of a Minimum Energy Path for the VT Flash Model by the String Method Coupled with the Exponential Time Differencing Scheme	4
A Nonlinear Finite Volume Scheme Preserving Maximum Principle for Diffusion Equations	4
Approximating the Gaussian as a Sum of Exponentials and Its Applications to the Fast Gauss Transform	4
High Order Finite Difference WENO Methods with Unequal-Sized Sub-Stencils for the Degasperis-Procesi Type Equations	4
Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations	3
A Conservative and Monotone Characteristic Finite Element Solver for Three-Dimensional Transport and Incompressible Navier-Stokes Equations on Unstructured Grids	3
A Decoupled Energy Stable Adaptive Finite Element Method for Cahn–Hilliard–Navier–Stokes Equations	3
A Computational Model for Simulation of Shallow Water Waves by Elastic Deformations in the Topography	3
A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains	3
Fourier Collocation and Reduced Basis Methods for Fast Modeling of Compressible Flows	3
A Mortar Spectral Element Method for Full-Potential Electronic Structure Calculations	3
Arbitrarily High-Order (Weighted) Essentially Non-Oscillatory Finite Difference Schemes for Anelastic Flows on Staggered Meshes	3
A New Artificial Neural Network Method for Solving Schrödinger Equations on Unbounded Domains	3
Benchmark Computations of the Phase Field Crystal and Functionalized Cahn-Hilliard Equations via Fully Implicit, Nesterov Accelerated Schemes	3
Quantum Implementation of Numerical Methods for Convection-Diffusion Equations: Toward Computational Fluid Dynamics	3
Kinetic Slip Boundary Condition for Isothermal Rarefied Gas Flows Through Static Non-Planar Geometries Based on the Regularized Lattice-Boltzmann Method	3
Structure-Preserving Finite-Element Schemes for the Euler-Poisson Equations	3
Adaptive Order WENO Reconstructions for the Semi-Lagrangian Finite Difference Scheme for Advection Problem	3
New Insights on Convergence Properties of Peridynamic Models for Transient Diffusion and Elastodynamics	3
Immersed Boundary Approach to Biofilm Spread on Surfaces	3
A Pseudopotential Lattice Boltzmann Analysis for Multicomponent Flow	3
Transition Pathways in Cylinder-Gyroid Interface	3
A Quantitative Comparison of Physical Accuracy and Numerical Stability of Lattice Boltzmann Color Gradient and Pseudopotential Multicomponent Models for Microfluidic Applications	3
The Immersed Interface Method for Non-Smooth Rigid Objects in Incompressible Viscous Flows	3
Nonconforming Finite Elements for the −curl∆curl and Brinkman Problems on Cubical Meshes	3
High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws	3
A General Improvement in the WENO-Z-Type Schemes	3
Modeling of Bound Electron Effects in Particle-in-Cell Simulation	3
A Coupled Discrete Unified Gas-Kinetic Scheme for Convection Heat Transfer in Porous Media	3
An Adaptive Finite Element PML Method for the Open Cavity Scattering Problems	3
Cholesky-Based Experimental Design for Gaussian Process and Kernel-Based Emulation and Calibration	3
Numerical Approximations of Phase Field Models Using a General Class of Linear Time-Integration Schemes	3
Extrapolation Cascadic Multigrid Method for Cell-Centered FV Discretization of Diffusion Equations with Strongly Discontinuous and Anisotropic Coefficients	3
Efficient and Stable Schemes for the Magnetohydrodynamic Potential Model	3
Multiple-Temperature Gas-Kinetic Scheme for Type IV Shock/Shock Interaction	3
An Edge-Based Smoothed Finite Element Method with TBC for the Elastic Wave Scattering by an Obstacle	3
A Five-Point TENO Scheme with Adaptive Dissipation Based on a New Scale Sensor	3
A Mixed Wavelet-Learning Method of Predicting Macroscopic Effective Heat Transfer Conductivities of Braided Composite Materials	3
Modeling Thermal Regulation in Thin Vascular Systems: A Mathematical Analysis	3
A Simple Solver for the Two-Fluid Plasma Model Based on PseudoSpectral Time-Domain Algorithm	3