OOIR: Observatory of International Research

Papers

(The median citation count of Multiscale Modeling & Simulation is 2. 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
Homogenization for Maxwell and Friends	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
Quantum Mechanics for Closure of Dynamical Systems	12
Homogenization of the Stokes System in a Non-Periodically Perforated Domain	12
Sharp-Interface Limits of Cahn–Hilliard Models and Mechanics with Moving Contact Lines	11
Homogenization and Dimension Reduction of the Stokes Problem with Navier-Slip Condition in Thin Perforated Layers	11
Multiscale Modeling of Tumor-Macrophage Interactions Underlying Immunotherapy Resistance in Glioblastoma	10
Numerical Upscaling for Wave Equations with Time-Dependent Multiscale Coefficients	10
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
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
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

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
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
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
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
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
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
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
Crystallinity of the Homogenized Energy Density of Periodic Lattice Systems	4
Semi-Implicit Particle-in-Cell Methods Embedding Sparse Grid Reconstructions	4
Quasi-Convergence of an Implementation of Optimal Balance by Backward-Forward Nudging	4
Mathematical Theory for Electromagnetic Scattering Resonances and Field Enhancement in a Subwavelength Annular Gap	4
Mobility Estimation for Langevin Dynamics Using Control Variates	4
Bottom-Up Transient Time Models in Coarse-Graining Molecular Systems	4
Three-Dimensional Random Wave Coupling Along a Boundary and an Associated Inverse Problem	4
Exponential Convergence of a Generalized FEM for Heterogeneous Reaction-Diffusion Equations	4
Radiative Decay of Edge States in Floquet Media	4
Quantum Algorithms for Multiscale Partial Differential Equations	4
Geometric Evolution of Bilayers under the Degenerate Functionalized Cahn–Hilliard Equation	4
Stable Nearly Self-Similar Blowup of the 2D Boussinesq and 3D Euler Equations with Smooth Data II: Rigorous Numerics	4
Convergence of a Direct Simulation Monte Carlo Method for the Space Inhomogeneous Semiconductor Boltzmann Equations with Multi-valley	4
Statistical Learning of Nonlinear Stochastic Differential Equations from Nonstationary Time Series using Variational Clustering	3
Stochastic Continuum Models for High-Entropy Alloys with Short-range Order	3
Heterogeneous Multiscale Methods for Fourth-Order Singular Perturbations	3
Accuracy and Stability Analysis of the Semi-Lagrangian Method for Stiff Hyperbolic Relaxation Systems and Kinetic BGK Model	3
Improved Self-consistent Field Iteration for Kohn–Sham Density Functional Theory	3

Double-Well Net for Image Segmentation	3
Manifold Learning and Nonlinear Homogenization	3
Solving the Long-Time Nonlinear Schrödinger Equation by a Class of Oscillation-Relaxation Integrators	3
A Multifidelity Machine Learning Based Semi-Lagrangian Finite Volume Scheme for Linear Transport Equations and the Nonlinear Vlasov–Poisson System	3
Surrogate Models for Vibrational Entropy Based on a Spatial Decomposition	3
The Narrow Capture Problem with Partially Absorbing Targets and Stochastic Resetting	3
Learning Markovian Homogenized Models in Viscoelasticity	3
Multiscale Motion and Deformation of Bumps in Stochastic Neural Fields with Dynamic Connectivity	3
Multiscale Invariants of Floquet Topological Insulators	3
Constraint Energy Minimizing Generalized Multiscale Finite Element Method for Inhomogeneous Boundary Value Problems with High Contrast Coefficients	3
Localized Orthogonal Decomposition for a Multiscale Parabolic Stochastic Partial Differential Equation	3
Error Estimate of Multiscale Finite Element Method for Periodic Media Revisited	3
Speckle Memory Effect in the Frequency Domain and Stability in Time-Reversal Experiments	2
Steklov–Neumann Spectral Problem: Asymptotic Analysis and Applications to Diffusion-Controlled Reactions	2
Hamiltonian Dysthe Equation for Three-Dimensional Deep-Water Gravity Waves	2
Electronic Observables for Relaxed Bilayer Two-Dimensional Heterostructures in Momentum Space	2
Gradient Estimates for Electric Fields with MultiScale Inclusions in the Quasi-Static Regime	2
Direct Algorithms for Reconstructing Small Conductivity Inclusions in Subdiffusion	2
Homogenization of the Stokes System in a Domain with an Oscillating Boundary	2
Inverse Random Source Problems for the Helmholtz and Navier Equations	2
Convergence of the Planewave Approximations for Quantum Incommensurate Systems	2
Asymptotic Characterization of Localized Defect Modes: Su–Schrieffer–Heeger and Related Models	2
Pattern Formation of a Pathway-Based Diffusion Model: Linear Stability Analysis and an Asymptotic Preserving Method	2
Double Dirac Cones in Band Structures of Periodic Schroedinger Operators	2
On the Random Batch Method for Second Order Interacting Particle Systems	2
Transition Path Theory for Langevin Dynamics on Manifolds: Optimal Control and Data-Driven Solver	2
A Graph Random Walk Method for Calculating Time-of-Flight Charge Mobility in Organic Semiconductors from Multiscale Simulations	2
An Asymptotic Preserving, Low-Memory, Hybrid Discontinuous Galerkin Method for the Spherical Harmonic Approximation of the Radiation Transport Equation with Isotropic Scattering and Diffusive Scaling	2
Rigidity Percolation in Disordered 3D Rod Systems	2
Preconditioned Algorithm for Difference of Convex Functions with Applications to Graph Ginzburg–Landau Model	2
Ranking Edges by Their Impact on the Spectral Complexity of Information Diffusion over Networks	2
Heat Generation Using Lorentzian Nanoparticles: Estimation via Time-Domain Techniques	2
Large Deviation Principle and Thermodynamic Limit of Chemical Master Equation via Nonlinear Semigroup	2
Representative Volume Element Approximations in Elastoplastic Spring Networks	2
Extending the Regime of Linear Response with Synthetic Forcings	2