OOIR: Observatory of International Research

Papers

(The median citation count of Multiscale Modeling & Simulation is 1. 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
Hamiltonian Dysthe Equation for Three-Dimensional Deep-Water Gravity Waves	11
Geometric Evolution of Bilayers under the Degenerate Functionalized Cahn–Hilliard Equation	11
Optimal Local Approximation Spaces for Parabolic Problems	10
Mobility Estimation for Langevin Dynamics Using Control Variates	9
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
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
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
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
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
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
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
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
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
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
Asymptotic Expansions of Evolution Equations with Fast Volatility	2
On the Multiscale Landau–Lifshitz–Gilbert Equation: Two-Scale Convergence and Stability Analysis	2
Exponentially Convergent Multiscale Methods for 2D High Frequency Heterogeneous Helmholtz Equations	2
Neural Network Approximation of Coarse-Scale Surrogates in Numerical Homogenization	2
Multiscale Modeling of Glioma Invasion: From Receptor Binding to Flux-Limited Macroscopic PDEs	2
Quantum Algorithms for Multiscale Partial Differential Equations	2
Machine Learning Moment Closure Models for the Radiative Transfer Equation II: Enforcing Global Hyperbolicity in Gradient-Based Closures	2
Semi-Implicit Particle-in-Cell Methods Embedding Sparse Grid Reconstructions	2
Semiclassical Propagation Along Curved Domain Walls	2
Local Modification of Subdiffusion by Initial Fickian Diffusion: Multiscale Modeling, Analysis, and Computation	2
On the Kinetic Description of the Objective Molecular Dynamics	2
Effective Heat Transfer Between a Porous Medium and a Fluid Layer: Homogenization and Simulation	2
Multiscale Analysis for Dynamic Contact Angle Hysteresis on Rough Surfaces	2
Multiscale Invariants of Floquet Topological Insulators	2
Metropolis Crystal Surface Dynamics in the Rough Scaling Limit: From Local Equilibrium to Semi-Empirical PDE	2
Fano Resonances in All-Dielectric Electromagnetic Metasurfaces	1
A New Class of Uniformly Stable Time-Domain Foldy–Lax Models for Scattering by Small Particles. Acoustic Sound-Soft Scattering by Circles	1
Artificial Boundary Conditions for Random Elliptic Systems with Correlated Coefficient Field	1
Accuracy and Stability Analysis of the Semi-Lagrangian Method for Stiff Hyperbolic Relaxation Systems and Kinetic BGK Model	1
Constraint Energy Minimizing Generalized Multiscale Finite Element Method for Inhomogeneous Boundary Value Problems with High Contrast Coefficients	1
Erratum: Tunable Eigenvector-Based Centralities for Multiplex and Temporal Networks	1
The Interaction Between Two Close-To-Touching Convex Acoustic Subwavelength Resonators	1
Efficient Uncertainty Quantification for Mechanical Properties of Randomly Perturbed Elastic Rods	1
Solving the Long-Time Nonlinear Schrödinger Equation by a Class of Oscillation-Relaxation Integrators	1
Mathematical Analysis and Numerical Approximations of Density Functional Theory Models for Metallic Systems	1
Quasistatic Evolution with Unstable Forces	1

On Optimal Convergence Rates for Discrete Minimizers of the Gross–Pitaevskii Energy in Localized Orthogonal Decomposition Spaces	1
A Micro-Macro Decomposed Reduced Basis Method for the Time-Dependent Radiative Transfer Equation	1
HiPhom\({\varepsilon }\): High-Order Projection-Based Homogenization for Advection-Diffusion-Reaction Problems	1
Surface Waves in Randomly Perturbed Discrete Models	1
Guided Modes in a Hexagonal Periodic Graph Like Domain	1
A Method to Coarse-Grain MultiAgent Stochastic Systems with Regions of Multistability	1
An Elliptic Local Problem with Exponential Decay of the Resonance Error for Numerical Homogenization	1
A Bending-Torsion Theory for Thin and Ultrathin Rods as a \(\boldsymbol{\Gamma}\)-Limit of Atomistic Models	1
Wide-Band Butterfly Network: Stable and Efficient Inversion Via Multi-Frequency Neural Networks	1
The 3D Narrow Capture Problem for Traps with Semipermeable Interfaces	1
Fluid Models for Kinetic Equations in Swarming Preserving Momentum	1
On the Periodic Homogenization of Elliptic Equations in Nondivergence Form with Large Drifts	1
Quantum Mechanics for Closure of Dynamical Systems	1
Improved Self-consistent Field Iteration for Kohn–Sham Density Functional Theory	1
Double-Well Net for Image Segmentation	1
Homogenization of the Stokes System in a Non-Periodically Perforated Domain	1
Homogenization of a Porous Intercalation Electrode with Phase Separation	1
The Narrow Capture Problem with Partially Absorbing Targets and Stochastic Resetting	1
FMM-LU: A Fast Direct Solver for Multiscale Boundary Integral Equations in Three Dimensions	1
Reconstruction of Multiscale Electromagnetic Sources from Multifrequency Electric Far Field Patterns at Sparse Observation Directions	1
A Fast Butterfly-Compressed Hadamard–Babich Integrator for High-Frequency Helmholtz Equations in Inhomogeneous Media with Arbitrary Sources	1
Sharp-Interface Limits of Cahn–Hilliard Models and Mechanics with Moving Contact Lines	1
Homogenization and Dimension Reduction of the Stokes Problem with Navier-Slip Condition in Thin Perforated Layers	1
Learning Markovian Homogenized Models in Viscoelasticity	1