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 2021-11-01 to 2025-11-01.)

Article	Citations
High-order Contrast Bounds for Piezoelectric Constants of Two-phase Fibrous Composites	28
Online Multiscale Model Reduction for Nonlinear Stochastic PDEs with Multiplicative Noise	17
Micro-Macro Stochastic Galerkin Methods for Nonlinear Fokker–Planck Equations with Random Inputs	16
Metropolis Crystal Surface Dynamics in the Rough Scaling Limit: From Local Equilibrium to Semi-Empirical PDE	15
Homogenization for Maxwell and Friends	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
Quantum Mechanics for Closure of Dynamical Systems	12
Homogenization of the Stokes System in a Non-Periodically Perforated Domain	12
Homogenization and Dimension Reduction of the Stokes Problem with Navier-Slip Condition in Thin Perforated Layers	11
Sharp-Interface Limits of Cahn–Hilliard Models and Mechanics with Moving Contact Lines	11
Multiscale Modeling of Tumor-Macrophage Interactions Underlying Immunotherapy Resistance in Glioblastoma	10
Numerical Upscaling for Wave Equations with Time-Dependent Multiscale Coefficients	10
Vortex-Capturing Multiscale Spaces for the Ginzburg–Landau Equation	9
Topological Sensitivity-Based Analysis and Optimization of Microstructured Interfaces	9
Continuum Model and Numerical Method for Dislocation Structure and Energy of Grain Boundaries	9
Elastic Far-Field Decay from Dislocations in Multilattices	9
On the Generalization Ability of Coarse-Grained Molecular Dynamics Models for Nonequilibrium Processes	9
Homogenization of Nonlinear Blood Flow in Periodic Networks: The Limit of Small Haematocrit Heterogeneity	9
Boundary Homogenization for Partially Reactive Patches	9
Uniform Observable Error Bounds of Trotter Formulae for the Semiclassical Schrödinger Equation	9
QM/MM Methods for Crystalline Defects. Part 3: Machine-Learned MM Models	8
Multiscale Approach for Variational Problem Joint Diffeomorphic Image Registration and Intensity Correction: Theory and Application	8
A Diffuse-Domain Phase-Field Lattice Boltzmann Method for Two-Phase Flows in Complex Geometries	8
On Finding Optimal Collective Variables for Complex Systems by Minimizing the Deviation between Effective and Full Dynamics	8

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