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 2021-03-01 to 2025-03-01.)

Article	Citations
An Effective Fractional Paraxial Wave Equation for Wave-Fronts in Randomly Layered Media with Long-Range Correlations	18
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	9
Constraint Energy Minimizing Generalized Multiscale Finite Element Method for Convection Diffusion Equation	9
Multiscale Approach for Variational Problem Joint Diffeomorphic Image Registration and Intensity Correction: Theory and Application	8
Boundary Effects in Radiative Transfer of Acoustic Waves in a Randomly Fluctuating Half-space	8
Kinetic Description of Swarming Dynamics with Topological Interaction and Transient Leaders	8
Mobility Estimation for Langevin Dynamics Using Control Variates	8
Global Well-Posedness and Numerical Justification of an Effective Micro-Macro Model for Reactive Transport in Elastic Perforated Media	6
Multiscale Elliptic PDE Upscaling and Function Approximation via Subsampled Data	6
Trapping of Planar Brownian Motion: Full First Passage Time Distributions by Kinetic Monte Carlo, Asymptotic, and Boundary Integral Methods	6
Hyperbolic Machine Learning Moment Closures for the BGK Equations	6
Crystallinity of the Homogenized Energy Density of Periodic Lattice Systems	6
Upscaling Errors in Heterogeneous Multiscale Methods for the Landau--Lifshitz Equation	5
Edge Modes in Subwavelength Resonators in One Dimension	5
Double Dirac Cones in Band Structures of Periodic Schroedinger Operators	5
Coarse Graining of Multiple Water Molecules with Intelligent Dissipative Particle Dynamics	5
High-order Contrast Bounds for Piezoelectric Constants of Two-phase Fibrous Composites	4
Online Multiscale Model Reduction for Nonlinear Stochastic PDEs with Multiplicative Noise	4
An MsFEM Approach Enriched Using Legendre Polynomials	4
Manifold Learning and Nonlinear Homogenization	4
A Neural Network Approach for Homogenization of Multiscale Problems	4
On Asymptotic Preserving Schemes for a Class of Stochastic Differential Equations in Averaging and Diffusion Approximation Regimes	4

Pattern Formation of a Pathway-Based Diffusion Model: Linear Stability Analysis and an Asymptotic Preserving Method	4
The Local Equilibrium State of a Crystal Surface Jump Process in the Rough Scaling Regime	4
Analysis and Optimization of Certain Parallel Monte Carlo Methods in the Low Temperature Limit	4
Generalized Multiscale Finite Element Method for Highly Heterogeneous Compressible Flow	4
Corrigendum: On the justification of the Foldy–Lax Approximation for the Acoustic Scattering by Small Rigid Bodies of Arbitrary Shapes	4
On the Random Batch Method for Second Order Interacting Particle Systems	4
Ranking Edges by Their Impact on the Spectral Complexity of Information Diffusion over Networks	4
Statistical Learning of Nonlinear Stochastic Differential Equations from Nonstationary Time Series using Variational Clustering	3
Bottom-Up Transient Time Models in Coarse-Graining Molecular Systems	3
Online Adaptive Algorithm for Constraint Energy Minimizing Generalized Multiscale Discontinuous Galerkin Method	3
Machine Learning Moment Closure Models for the Radiative Transfer Equation II: Enforcing Global Hyperbolicity in Gradient-Based Closures	3
Analysis of a Multiscale Interface Problem Based on the Coupling of Partial and Ordinary Differential Equations to Model Tissue Perfusion	3
Stochastic Continuum Models for High-Entropy Alloys with Short-range Order	3
Multiscale Constitutive Framework of One-Dimensional Blood Flow Modeling: Asymptotic Limits and Numerical Methods	3
Upscaling an Extended Heterogeneous Stefan Problem from the Pore-Scale to the Darcy Scale in Permafrost	3
On the Kinetic Description of the Objective Molecular Dynamics	3
A Framework for a Generalization Analysis of Machine-Learned Interatomic Potentials	3
Generalized Multiscale Finite Element Treatment of a Heterogeneous Nonlinear Strain-limiting Elastic Model	3
Effective Heat Transfer Between a Porous Medium and a Fluid Layer: Homogenization and Simulation	2
Solving the Long-Time Nonlinear Schrödinger Equation by a Class of Oscillation-Relaxation Integrators	2
Neural Network Approximation of Coarse-Scale Surrogates in Numerical Homogenization	2
Asymptotic Expansions of Evolution Equations with Fast Volatility	2
Micro-Macro Stochastic Galerkin Methods for Nonlinear Fokker–Planck Equations with Random Inputs	2
High-Frequency Homogenization for Periodic Dispersive Media	2
Multiscale Modeling of Glioma Invasion: From Receptor Binding to Flux-Limited Macroscopic PDEs	2
Quantum Algorithms for Multiscale Partial Differential Equations	2
Metropolis Crystal Surface Dynamics in the Rough Scaling Limit: From Local Equilibrium to Semi-Empirical PDE	2
On the Multiscale Landau–Lifshitz–Gilbert Equation: Two-Scale Convergence and Stability Analysis	2
Electronic Observables for Relaxed Bilayer Two-Dimensional Heterostructures in Momentum Space	2
Approximative Policy Iteration for Exit Time Feedback Control Problems Driven by Stochastic Differential Equations using Tensor Train Format	2
A Multifidelity Machine Learning Based Semi-Lagrangian Finite Volume Scheme for Linear Transport Equations and the Nonlinear Vlasov–Poisson System	2
Semi-Implicit Particle-in-Cell Methods Embedding Sparse Grid Reconstructions	2
Multiscale Analysis for Dynamic Contact Angle Hysteresis on Rough Surfaces	2
The 3D Narrow Capture Problem for Traps with Semipermeable Interfaces	2
Multiscale Motion and Deformation of Bumps in Stochastic Neural Fields with Dynamic Connectivity	2
Aggregation Methods for Computing Steady States in Statistical Physics	2
Asymptotic-Preserving and Energy Stable Dynamical Low-Rank Approximation for Thermal Radiative Transfer Equations	2
Multiscale Invariants of Floquet Topological Insulators	1
Homogenization of a Porous Intercalation Electrode with Phase Separation	1
Learning Markovian Homogenized Models in Viscoelasticity	1
Localized Orthogonal Decomposition for a Multiscale Parabolic Stochastic Partial Differential Equation	1
Homogenization of the Stokes System in a Non-Periodically Perforated Domain	1
A Method to Coarse-Grain MultiAgent Stochastic Systems with Regions of Multistability	1
Double-Well Net for Image Segmentation	1
Wide-Band Butterfly Network: Stable and Efficient Inversion Via Multi-Frequency Neural Networks	1
FMM-LU: A Fast Direct Solver for Multiscale Boundary Integral Equations in Three Dimensions	1
Guided Modes in a Hexagonal Periodic Graph Like Domain	1
Constraint Energy Minimizing Generalized Multiscale Finite Element Method for Inhomogeneous Boundary Value Problems with High Contrast Coefficients	1
Semiclassical Propagation Along Curved Domain Walls	1
Fano Resonances in All-Dielectric Electromagnetic Metasurfaces	1

Mathematical Analysis and Numerical Approximations of Density Functional Theory Models for Metallic Systems	1
Quantized Tensor FEM for Multiscale Problems: Diffusion Problems in Two and Three Dimensions	1
On the Periodic Homogenization of Elliptic Equations in Nondivergence Form with Large Drifts	1
A New Class of Uniformly Stable Time-Domain Foldy–Lax Models for Scattering by Small Particles. Acoustic Sound-Soft Scattering by Circles	1
Local Modification of Subdiffusion by Initial Fickian Diffusion: Multiscale Modeling, Analysis, and Computation	1
The Interaction Between Two Close-To-Touching Convex Acoustic Subwavelength Resonators	1
Artificial Boundary Conditions for Random Elliptic Systems with Correlated Coefficient Field	1
Reconstruction of Multiscale Electromagnetic Sources from Multifrequency Electric Far Field Patterns at Sparse Observation Directions	1
Efficient Uncertainty Quantification for Mechanical Properties of Randomly Perturbed Elastic Rods	1
An Elliptic Local Problem with Exponential Decay of the Resonance Error for Numerical Homogenization	1
Multi-Resolution Localized Orthogonal Decomposition for Helmholtz Problems	1
NonReciprocal Wave Propagation in Space-Time Modulated Media	1
The Heterogeneous Multiscale Method for Dispersive Maxwell Systems	1
AMS-Net: Adaptive Multiscale Sparse Neural Network with Interpretable Basis Expansion for Multiphase Flow Problems	1
HiPhom\({\varepsilon }\): High-Order Projection-Based Homogenization for Advection-Diffusion-Reaction Problems	1
A Fast Butterfly-Compressed Hadamard–Babich Integrator for High-Frequency Helmholtz Equations in Inhomogeneous Media with Arbitrary Sources	1
Homogenization and Dimension Reduction of the Stokes Problem with Navier-Slip Condition in Thin Perforated Layers	1
A Bending-Torsion Theory for Thin and Ultrathin Rods as a \(\boldsymbol{\Gamma}\)-Limit of Atomistic Models	1
Exponentially Convergent Multiscale Methods for 2D High Frequency Heterogeneous Helmholtz Equations	1