OOIR: Observatory of International Research

Papers

(The TQCC of Multiscale Modeling & Simulation is 5. 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 2022-01-01 to 2026-01-01.)

Article	Citations
Online Multiscale Model Reduction for Nonlinear Stochastic PDEs with Multiplicative Noise	29
High-order Contrast Bounds for Piezoelectric Constants of Two-phase Fibrous Composites	17
Homogenization for Maxwell and Friends	16
Micro-Macro Stochastic Galerkin Methods for Nonlinear Fokker–Planck Equations with Random Inputs	15
Metropolis Crystal Surface Dynamics in the Rough Scaling Limit: From Local Equilibrium to Semi-Empirical PDE	15
A Bending-Torsion Theory for Thin and Ultrathin Rods as a \(\boldsymbol{\Gamma}\)-Limit of Atomistic Models	14
Reconstruction of Multiscale Electromagnetic Sources from Multifrequency Electric Far Field Patterns at Sparse Observation Directions	13
Homogenization of the Stokes System in a Non-Periodically Perforated Domain	13
Homogenization and Dimension Reduction of the Stokes Problem with Navier-Slip Condition in Thin Perforated Layers	12
Numerical Upscaling for Wave Equations with Time-Dependent Multiscale Coefficients	12
Quantum Mechanics for Closure of Dynamical Systems	12
Sharp-Interface Limits of Cahn–Hilliard Models and Mechanics with Moving Contact Lines	12
Continuum Model and Numerical Method for Dislocation Structure and Energy of Grain Boundaries	11
Elastic Far-Field Decay from Dislocations in Multilattices	11
Multiscale Modeling of Tumor-Macrophage Interactions Underlying Immunotherapy Resistance in Glioblastoma	11
On the Generalization Ability of Coarse-Grained Molecular Dynamics Models for Nonequilibrium Processes	10
Uniform Observable Error Bounds of Trotter Formulae for the Semiclassical Schrödinger Equation	10
Boundary Homogenization for Partially Reactive Patches	10
Topological Sensitivity-Based Analysis and Optimization of Microstructured Interfaces	10
A Diffuse-Domain Phase-Field Lattice Boltzmann Method for Two-Phase Flows in Complex Geometries	9
Homogenization of Nonlinear Blood Flow in Periodic Networks: The Limit of Small Haematocrit Heterogeneity	9
QM/MM Methods for Crystalline Defects. Part 3: Machine-Learned MM Models	9
Vortex-Capturing Multiscale Spaces for the Ginzburg–Landau Equation	9
On Finding Optimal Collective Variables for Complex Systems by Minimizing the Deviation between Effective and Full Dynamics	9
Potential Singularity of the Axisymmetric Euler Equations with \(\boldsymbol{C^{\alpha }}\) Initial Vorticity for a Large Range of \(\boldsymbol{\alpha }\)	9

Time Multiscale Modeling of Sorption Kinetics I: Uniformly Accurate Schemes for Highly Oscillatory Advection-Diffusion Equation	8
On Asymptotic Preserving Schemes for a Class of Stochastic Differential Equations in Averaging and Diffusion Approximation Regimes	8
Aggregation Methods for Computing Steady States in Statistical Physics	8
Global Well-Posedness and Numerical Justification of an Effective Micro-Macro Model for Reactive Transport in Elastic Perforated Media	8
Multiscale Approach for Variational Problem Joint Diffeomorphic Image Registration and Intensity Correction: Theory and Application	8
Asymptotic Expansions of Evolution Equations with Fast Volatility	8
An Effective Fractional Paraxial Wave Equation for Wave-Fronts in Randomly Layered Media with Long-Range Correlations	8
Embedded Corrector Problems for Homogenization in Linear Elasticity	8
An Elliptic Local Problem with Exponential Decay of the Resonance Error for Numerical Homogenization	7
Multiscale Analysis for Dynamic Contact Angle Hysteresis on Rough Surfaces	7
HiPhom\({\varepsilon }\): High-Order Projection-Based Homogenization for Advection-Diffusion-Reaction Problems	7
On the Multiscale Landau–Lifshitz–Gilbert Equation: Two-Scale Convergence and Stability Analysis	7
Effective Heat Transfer Between a Porous Medium and a Fluid Layer: Homogenization and Simulation	7
Approximative Policy Iteration for Exit Time Feedback Control Problems Driven by Stochastic Differential Equations using Tensor Train Format	7
Homogenization of a Porous Intercalation Electrode with Phase Separation	6
FMM-LU: A Fast Direct Solver for Multiscale Boundary Integral Equations in Three Dimensions	6
Adaptive Solution of Initial Value Problems by a Dynamical Galerkin Scheme	6
A Fast Butterfly-Compressed Hadamard–Babich Integrator for High-Frequency Helmholtz Equations in Inhomogeneous Media with Arbitrary Sources	6
The Use of Implicit Evolution Equations with Generalized Mittag-Leffler Kernels to Elucidate a Connection Between Distributed Microstructure Models in Porous Media and Fractional Calculus	6
Potential Singularity Formation of Incompressible Axisymmetric Euler Equations with Degenerate Viscosity Coefficients	6
Semiclassical Propagation Along Curved Domain Walls	6
The Interaction Between Two Close-To-Touching Convex Acoustic Subwavelength Resonators	6
Surface Waves in Randomly Perturbed Discrete Models	6
Inverse Random Potential Scattering for Elastic Waves	6
Stable Nearly Self-Similar Blowup of the 2D Boussinesq and 3D Euler Equations with Smooth Data II: Rigorous Numerics	5
Stability for the Inverse Random Source Scattering Problems in Elastic Waves	5
A Multiscale Model for Weakly Nonlinear Shallow Water Waves over Periodic Bathymetry	5
Incompleteness of Sinclair-Type Continuum Flexible Boundary Conditions for Atomistic Fracture Simulations	5
High-order Numerical Homogenization for Dissipative Ordinary Differential Equations	5
Quantized Tensor FEM for Multiscale Problems: Diffusion Problems in Two and Three Dimensions	5
A Micro-Macro Decomposed Reduced Basis Method for the Time-Dependent Radiative Transfer Equation	5
Three-Dimensional Random Wave Coupling Along a Boundary and an Associated Inverse Problem	5
A New Class of Uniformly Stable Time-Domain Foldy–Lax Models for Scattering by Small Particles. Acoustic Sound-Soft Scattering by Circles	5
NonReciprocal Wave Propagation in Space-Time Modulated Media	5