OOIR: Observatory of International Research

Papers

(The TQCC of Multiscale Modeling & Simulation 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 2021-04-01 to 2025-04-01.)

Article	Citations
An Effective Fractional Paraxial Wave Equation for Wave-Fronts in Randomly Layered Media with Long-Range Correlations	24
Tensor-Based Numerical Method for Stochastic Homogenization	14
Geometric Evolution of Bilayers under the Degenerate Functionalized Cahn–Hilliard Equation	11
Hamiltonian Dysthe Equation for Three-Dimensional Deep-Water Gravity Waves	11
Optimal Local Approximation Spaces for Parabolic Problems	10
Boundary Effects in Radiative Transfer of Acoustic Waves in a Randomly Fluctuating Half-space	9
Kinetic Description of Swarming Dynamics with Topological Interaction and Transient Leaders	9
Mobility Estimation for Langevin Dynamics Using Control Variates	9
Crystallinity of the Homogenized Energy Density of Periodic Lattice Systems	8
Multiscale Approach for Variational Problem Joint Diffeomorphic Image Registration and Intensity Correction: Theory and Application	8
Trapping of Planar Brownian Motion: Full First Passage Time Distributions by Kinetic Monte Carlo, Asymptotic, and Boundary Integral Methods	7
Coarse Graining of Multiple Water Molecules with Intelligent Dissipative Particle Dynamics	6
Upscaling Errors in Heterogeneous Multiscale Methods for the Landau--Lifshitz Equation	6
Edge Modes in Subwavelength Resonators in One Dimension	6
Multiscale Elliptic PDE Upscaling and Function Approximation via Subsampled Data	6
Double Dirac Cones in Band Structures of Periodic Schroedinger Operators	6
Global Well-Posedness and Numerical Justification of an Effective Micro-Macro Model for Reactive Transport in Elastic Perforated Media	6
A Neural Network Approach for Homogenization of Multiscale Problems	5
Online Multiscale Model Reduction for Nonlinear Stochastic PDEs with Multiplicative Noise	5
High-order Contrast Bounds for Piezoelectric Constants of Two-phase Fibrous Composites	5
Pattern Formation of a Pathway-Based Diffusion Model: Linear Stability Analysis and an Asymptotic Preserving Method	5
On Asymptotic Preserving Schemes for a Class of Stochastic Differential Equations in Averaging and Diffusion Approximation Regimes	5
Corrigendum: On the justification of the Foldy–Lax Approximation for the Acoustic Scattering by Small Rigid Bodies of Arbitrary Shapes	5
An MsFEM Approach Enriched Using Legendre Polynomials	4
On the Random Batch Method for Second Order Interacting Particle Systems	4

Manifold Learning and Nonlinear Homogenization	4
Multiscale Constitutive Framework of One-Dimensional Blood Flow Modeling: Asymptotic Limits and Numerical Methods	4
The Local Equilibrium State of a Crystal Surface Jump Process in the Rough Scaling Regime	4
Hyperbolic Machine Learning Moment Closures for the BGK Equations	4
High-Frequency Homogenization for Periodic Dispersive Media	4
Generalized Multiscale Finite Element Treatment of a Heterogeneous Nonlinear Strain-limiting Elastic Model	4
Analysis and Optimization of Certain Parallel Monte Carlo Methods in the Low Temperature Limit	4
Ranking Edges by Their Impact on the Spectral Complexity of Information Diffusion over Networks	4
Generalized Multiscale Finite Element Method for Highly Heterogeneous Compressible Flow	4
Online Adaptive Algorithm for Constraint Energy Minimizing Generalized Multiscale Discontinuous Galerkin Method	4
Constraint Energy Minimizing Generalized Multiscale Finite Element Method for Convection Diffusion Equation	4
Micro-Macro Stochastic Galerkin Methods for Nonlinear Fokker–Planck Equations with Random Inputs	3
A Multifidelity Machine Learning Based Semi-Lagrangian Finite Volume Scheme for Linear Transport Equations and the Nonlinear Vlasov–Poisson System	3
Electronic Observables for Relaxed Bilayer Two-Dimensional Heterostructures in Momentum Space	3
Stochastic Continuum Models for High-Entropy Alloys with Short-range Order	3
Statistical Learning of Nonlinear Stochastic Differential Equations from Nonstationary Time Series using Variational Clustering	3
Aggregation Methods for Computing Steady States in Statistical Physics	3
Analysis of a Multiscale Interface Problem Based on the Coupling of Partial and Ordinary Differential Equations to Model Tissue Perfusion	3
Multiscale Motion and Deformation of Bumps in Stochastic Neural Fields with Dynamic Connectivity	3
Upscaling an Extended Heterogeneous Stefan Problem from the Pore-Scale to the Darcy Scale in Permafrost	3
Approximative Policy Iteration for Exit Time Feedback Control Problems Driven by Stochastic Differential Equations using Tensor Train Format	3
A Framework for a Generalization Analysis of Machine-Learned Interatomic Potentials	3
Bottom-Up Transient Time Models in Coarse-Graining Molecular Systems	3
Asymptotic-Preserving and Energy Stable Dynamical Low-Rank Approximation for Thermal Radiative Transfer Equations	3