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 2022-05-01 to 2026-05-01.)

Article	Citations
Online Multiscale Model Reduction for Nonlinear Stochastic PDEs with Multiplicative Noise	32
High-order Contrast Bounds for Piezoelectric Constants of Two-phase Fibrous Composites	19
Micro-Macro Stochastic Galerkin Methods for Nonlinear Fokker–Planck Equations with Random Inputs	19
Homogenization for Maxwell and Friends	18
Metropolis Crystal Surface Dynamics in the Rough Scaling Limit: From Local Equilibrium to Semi-Empirical PDE	17
A Bending-Torsion Theory for Thin and Ultrathin Rods as a \(\boldsymbol{\Gamma}\)-Limit of Atomistic Models	17
Quantum Mechanics for Closure of Dynamical Systems	16
Reconstruction of Multiscale Electromagnetic Sources from Multifrequency Electric Far Field Patterns at Sparse Observation Directions	16
Sharp-Interface Limits of Cahn–Hilliard Models and Mechanics with Moving Contact Lines	16
Numerical Upscaling for Wave Equations with Time-Dependent Multiscale Coefficients	14
Homogenization and Dimension Reduction of the Stokes Problem with Navier-Slip Condition in Thin Perforated Layers	14
Multiscale Modeling of Tumor-Macrophage Interactions Underlying Immunotherapy Resistance in Glioblastoma	14
Topological Sensitivity-Based Analysis and Optimization of Microstructured Interfaces	12
Elastic Far-Field Decay from Dislocations in Multilattices	12
Boundary Homogenization for Partially Reactive Patches	12
On the Generalization Ability of Coarse-Grained Molecular Dynamics Models for Nonequilibrium Processes	12
Potential Singularity of the Axisymmetric Euler Equations with \(\boldsymbol{C^{\alpha }}\) Initial Vorticity for a Large Range of \(\boldsymbol{\alpha }\)	11
QM/MM Methods for Crystalline Defects. Part 3: Machine-Learned MM Models	11
Global Well-Posedness and Numerical Justification of an Effective Micro-Macro Model for Reactive Transport in Elastic Perforated Media	11
A Diffuse-Domain Phase-Field Lattice Boltzmann Method for Two-Phase Flows in Complex Geometries	11
Homogenization of Nonlinear Blood Flow in Periodic Networks: The Limit of Small Haematocrit Heterogeneity	11
On Finding Optimal Collective Variables for Complex Systems by Minimizing the Deviation between Effective and Full Dynamics	11
Vortex-Capturing Multiscale Spaces for the Ginzburg–Landau Equation	11
Uniform Observable Error Bounds of Trotter Formulae for the Semiclassical Schrödinger Equation	11
Two-Scale Analysis of the Electrostatics of Dielectric Crystals: Emergence of Polarization Density and Boundary Charges	10

An Effective Fractional Paraxial Wave Equation for Wave-Fronts in Randomly Layered Media with Long-Range Correlations	10
Asymptotic Consistent Formulation and Numerical Methods for the Periodic Zakharov System in the Subsonic Limit Regime	10
Multiscale Approach for Variational Problem Joint Diffeomorphic Image Registration and Intensity Correction: Theory and Application	10
Asymptotic Expansions of Evolution Equations with Fast Volatility	9
Effective Heat Transfer Between a Porous Medium and a Fluid Layer: Homogenization and Simulation	9
Time Multiscale Modeling of Sorption Kinetics I: Uniformly Accurate Schemes for Highly Oscillatory Advection-Diffusion Equation	9
An Efficient Algorithm for the Acoustic Wave Scattering by a Local Rough Interface	9
Fourth-Order Adaptive Mesh Refinement Both in Space and in Time for Incompressible Navier–Stokes Equations with Dirichlet Boundary Conditions	9
Multiscale Analysis for Dynamic Contact Angle Hysteresis on Rough Surfaces	8
Aggregation Methods for Computing Steady States in Statistical Physics	8
Embedded Corrector Problems for Homogenization in Linear Elasticity	8
On the Multiscale Landau–Lifshitz–Gilbert Equation: Two-Scale Convergence and Stability Analysis	8
HiPhom\({\varepsilon }\): High-Order Projection-Based Homogenization for Advection-Diffusion-Reaction Problems	7
Modeling and Simulation of Open Membranes in Stokes Flow with Mixed-Dimensional Coupling	7
An Elliptic Local Problem with Exponential Decay of the Resonance Error for Numerical Homogenization	7
A Fast Butterfly-Compressed Hadamard–Babich Integrator for High-Frequency Helmholtz Equations in Inhomogeneous Media with Arbitrary Sources	7
Homogenization of a Porous Intercalation Electrode with Phase Separation	7
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	7
The Interaction Between Two Close-To-Touching Convex Acoustic Subwavelength Resonators	6
Adaptive Solution of Initial Value Problems by a Dynamical Galerkin Scheme	6
A Unified Modeling of Underground-Surface Hydraulic Processes	6
Potential Singularity Formation of Incompressible Axisymmetric Euler Equations with Degenerate Viscosity Coefficients	6
A New Class of Uniformly Stable Time-Domain Foldy–Lax Models for Scattering by Small Particles. Acoustic Sound-Soft Scattering by Circles	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	6
A Multiscale Model for Weakly Nonlinear Shallow Water Waves over Periodic Bathymetry	6
Inverse Random Potential Scattering for Elastic Waves	6
Semiclassical Propagation Along Curved Domain Walls	6
Surface Waves in Randomly Perturbed Discrete Models	6
NonReciprocal Wave Propagation in Space-Time Modulated Media	6
Quantized Tensor FEM for Multiscale Problems: Diffusion Problems in Two and Three Dimensions	6
Incompleteness of Sinclair-Type Continuum Flexible Boundary Conditions for Atomistic Fracture Simulations	5
Convergence of a Direct Simulation Monte Carlo Method for the Space Inhomogeneous Semiconductor Boltzmann Equations with Multi-valley	5
Quasi-Convergence of an Implementation of Optimal Balance by Backward-Forward Nudging	5
A Micro-Macro Decomposed Reduced Basis Method for the Time-Dependent Radiative Transfer Equation	5
Stable Nearly Self-Similar Blowup of the 2D Boussinesq and 3D Euler Equations with Smooth Data II: Rigorous Numerics	5
Exponential Convergence of a Generalized FEM for Heterogeneous Reaction-Diffusion Equations	5
High-order Numerical Homogenization for Dissipative Ordinary Differential Equations	5
Three-Dimensional Random Wave Coupling Along a Boundary and an Associated Inverse Problem	5
Mathematical Theory for Electromagnetic Scattering Resonances and Field Enhancement in a Subwavelength Annular Gap	5