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 2021-06-01 to 2025-06-01.)

Article	Citations
High-order Contrast Bounds for Piezoelectric Constants of Two-phase Fibrous Composites	24
Online Multiscale Model Reduction for Nonlinear Stochastic PDEs with Multiplicative Noise	16
Micro-Macro Stochastic Galerkin Methods for Nonlinear Fokker–Planck Equations with Random Inputs	14
Metropolis Crystal Surface Dynamics in the Rough Scaling Limit: From Local Equilibrium to Semi-Empirical PDE	13
A Bending-Torsion Theory for Thin and Ultrathin Rods as a \(\boldsymbol{\Gamma}\)-Limit of Atomistic Models	11
Reconstruction of Multiscale Electromagnetic Sources from Multifrequency Electric Far Field Patterns at Sparse Observation Directions	11
Homogenization of the Stokes System in a Non-Periodically Perforated Domain	10
Homogenization and Dimension Reduction of the Stokes Problem with Navier-Slip Condition in Thin Perforated Layers	10
On the Generalization Ability of Coarse-Grained Molecular Dynamics Models for Nonequilibrium Processes	9
Sharp-Interface Limits of Cahn–Hilliard Models and Mechanics with Moving Contact Lines	9
Uniform Observable Error Bounds of Trotter Formulae for the Semiclassical Schrödinger Equation	9
Quantum Mechanics for Closure of Dynamical Systems	9
Numerical Upscaling for Wave Equations with Time-Dependent Multiscale Coefficients	9
Elastic Far-Field Decay from Dislocations in Multilattices	8
Continuum Model and Numerical Method for Dislocation Structure and Energy of Grain Boundaries	8
Topological Sensitivity-Based Analysis and Optimization of Microstructured Interfaces	8
Multiscale Modeling of Tumor-Macrophage Interactions Underlying Immunotherapy Resistance in Glioblastoma	8
Boundary Homogenization for Partially Reactive Patches	8
A Diffuse-Domain Phase-Field Lattice Boltzmann Method for Two-Phase Flows in Complex Geometries	7
Vortex-Capturing Multiscale Spaces for the Ginzburg–Landau Equation	7
Potential Singularity of the Axisymmetric Euler Equations with \(\boldsymbol{C^{\alpha }}\) Initial Vorticity for a Large Range of \(\boldsymbol{\alpha }\)	7
QM/MM Methods for Crystalline Defects. Part 3: Machine-Learned MM Models	7
Multiscale Approach for Variational Problem Joint Diffeomorphic Image Registration and Intensity Correction: Theory and Application	6
On Finding Optimal Collective Variables for Complex Systems by Minimizing the Deviation between Effective and Full Dynamics	6
Homogenization of Nonlinear Blood Flow in Periodic Networks: The Limit of Small Haematocrit Heterogeneity	6

Global Well-Posedness and Numerical Justification of an Effective Micro-Macro Model for Reactive Transport in Elastic Perforated Media	6
An Effective Fractional Paraxial Wave Equation for Wave-Fronts in Randomly Layered Media with Long-Range Correlations	6
On Asymptotic Preserving Schemes for a Class of Stochastic Differential Equations in Averaging and Diffusion Approximation Regimes	6
Time Multiscale Modeling of Sorption Kinetics I: Uniformly Accurate Schemes for Highly Oscillatory Advection-Diffusion Equation	6
On the Multiscale Landau–Lifshitz–Gilbert Equation: Two-Scale Convergence and Stability Analysis	5
Asymptotic Expansions of Evolution Equations with Fast Volatility	5
Approximative Policy Iteration for Exit Time Feedback Control Problems Driven by Stochastic Differential Equations using Tensor Train Format	5
Multiscale Analysis for Dynamic Contact Angle Hysteresis on Rough Surfaces	5
Effective Heat Transfer Between a Porous Medium and a Fluid Layer: Homogenization and Simulation	5
Aggregation Methods for Computing Steady States in Statistical Physics	5
HiPhom\({\varepsilon }\): High-Order Projection-Based Homogenization for Advection-Diffusion-Reaction Problems	5
Homogenization of a Porous Intercalation Electrode with Phase Separation	4
Surface Waves in Randomly Perturbed Discrete Models	4
A Multiscale Model for Weakly Nonlinear Shallow Water Waves over Periodic Bathymetry	4
Semiclassical Propagation Along Curved Domain Walls	4
The Interaction Between Two Close-To-Touching Convex Acoustic Subwavelength Resonators	4
NonReciprocal Wave Propagation in Space-Time Modulated Media	4
A New Class of Uniformly Stable Time-Domain Foldy–Lax Models for Scattering by Small Particles. Acoustic Sound-Soft Scattering by Circles	4
An Elliptic Local Problem with Exponential Decay of the Resonance Error for Numerical Homogenization	4
FMM-LU: A Fast Direct Solver for Multiscale Boundary Integral Equations in Three Dimensions	4
Quantized Tensor FEM for Multiscale Problems: Diffusion Problems in Two and Three Dimensions	4
Stability for the Inverse Random Source Scattering Problems in Elastic Waves	4
Potential Singularity Formation of Incompressible Axisymmetric Euler Equations with Degenerate Viscosity Coefficients	4
A Fast Butterfly-Compressed Hadamard–Babich Integrator for High-Frequency Helmholtz Equations in Inhomogeneous Media with Arbitrary Sources	4
Exponential Convergence of a Generalized FEM for Heterogeneous Reaction-Diffusion Equations	3
High-order Numerical Homogenization for Dissipative Ordinary Differential Equations	3
Stable Nearly Self-Similar Blowup of the 2D Boussinesq and 3D Euler Equations with Smooth Data II: Rigorous Numerics	3
Inverse Random Potential Scattering for Elastic Waves	3
Crystallinity of the Homogenized Energy Density of Periodic Lattice Systems	3
Semi-Implicit Particle-in-Cell Methods Embedding Sparse Grid Reconstructions	3
Mathematical Theory for Electromagnetic Scattering Resonances and Field Enhancement in a Subwavelength Annular Gap	3
Adaptive Solution of Initial Value Problems by a Dynamical Galerkin Scheme	3
Incompleteness of Sinclair-Type Continuum Flexible Boundary Conditions for Atomistic Fracture Simulations	3
Quasi-Convergence of an Implementation of Optimal Balance by Backward-Forward Nudging	3
Radiative Decay of Edge States in Floquet Media	3
Geometric Evolution of Bilayers under the Degenerate Functionalized Cahn–Hilliard Equation	3
Bottom-Up Transient Time Models in Coarse-Graining Molecular Systems	3
A Micro-Macro Decomposed Reduced Basis Method for the Time-Dependent Radiative Transfer Equation	3
Three-Dimensional Random Wave Coupling Along a Boundary and an Associated Inverse Problem	3
Convergence of a Direct Simulation Monte Carlo Method for the Space Inhomogeneous Semiconductor Boltzmann Equations with Multi-valley	3
Mobility Estimation for Langevin Dynamics Using Control Variates	3
Quantum Algorithms for Multiscale Partial Differential Equations	3
Statistical Learning of Nonlinear Stochastic Differential Equations from Nonstationary Time Series using Variational Clustering	3
Manifold Learning and Nonlinear Homogenization	2
Surrogate Models for Vibrational Entropy Based on a Spatial Decomposition	2
Localized Orthogonal Decomposition for a Multiscale Parabolic Stochastic Partial Differential Equation	2
Stochastic Continuum Models for High-Entropy Alloys with Short-range Order	2
Constraint Energy Minimizing Generalized Multiscale Finite Element Method for Inhomogeneous Boundary Value Problems with High Contrast Coefficients	2
Multiscale Invariants of Floquet Topological Insulators	2
The Narrow Capture Problem with Partially Absorbing Targets and Stochastic Resetting	2

Solving the Long-Time Nonlinear Schrödinger Equation by a Class of Oscillation-Relaxation Integrators	2
A Multifidelity Machine Learning Based Semi-Lagrangian Finite Volume Scheme for Linear Transport Equations and the Nonlinear Vlasov–Poisson System	2
Learning Markovian Homogenized Models in Viscoelasticity	2
Accuracy and Stability Analysis of the Semi-Lagrangian Method for Stiff Hyperbolic Relaxation Systems and Kinetic BGK Model	2
Double-Well Net for Image Segmentation	2
Multiscale Motion and Deformation of Bumps in Stochastic Neural Fields with Dynamic Connectivity	2
Double Dirac Cones in Band Structures of Periodic Schroedinger Operators	1
A Simple Collocation-Type Approach to Numerical Stochastic Homogenization	1
An Adaptive Planewave Method for Electronic Structure Calculations	1
Uncertainty Quantification for the Homogeneous Landau–Fokker–Planck Equation via Deterministic Particle Galerkin Methods	1
Uniformly Accurate Nested Picard Iterative Integrators for the Nonlinear Dirac Equation in the Nonrelativistic Regime	1
Hamiltonian Dysthe Equation for Three-Dimensional Deep-Water Gravity Waves	1
Heat Generation Using Lorentzian Nanoparticles: Estimation via Time-Domain Techniques	1
Quasistatic Evolution with Unstable Forces	1
Pattern Formation of a Pathway-Based Diffusion Model: Linear Stability Analysis and an Asymptotic Preserving Method	1
Artificial Boundary Conditions for Random Elliptic Systems with Correlated Coefficient Field	1
Transition Path Theory for Langevin Dynamics on Manifolds: Optimal Control and Data-Driven Solver	1
Representative Volume Element Approximations in Elastoplastic Spring Networks	1
Mathematical Models of Topologically Protected Transport in Twisted Bilayer Graphene	1
On the Random Batch Method for Second Order Interacting Particle Systems	1
Ranking Edges by Their Impact on the Spectral Complexity of Information Diffusion over Networks	1
Multiscale Numerical Schemes for the Collisional Vlasov Equation in the Finite Larmor Radius Approximation Regime	1
A Semi-Lagrangian Computation of Front Speeds of G-equation in ABC and Kolmogorov Flows with Estimation via Ballistic Orbits	1
On the Periodic Homogenization of Elliptic Equations in Nondivergence Form with Large Drifts	1
Asymptotic Characterization of Localized Defect Modes: Su–Schrieffer–Heeger and Related Models	1
Large Deviation Principle and Thermodynamic Limit of Chemical Master Equation via Nonlinear Semigroup	1
A Method to Coarse-Grain MultiAgent Stochastic Systems with Regions of Multistability	1
Speckle Memory Effect in the Frequency Domain and Stability in Time-Reversal Experiments	1
Neural Network Approximation of Coarse-Scale Surrogates in Numerical Homogenization	1
Homogenization of the Stokes System in a Domain with an Oscillating Boundary	1
Extending the Regime of Linear Response with Synthetic Forcings	1
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	1
Multiscale Modeling of Glioma Invasion: From Receptor Binding to Flux-Limited Macroscopic PDEs	1
Bayesian Deep Operator Learning for Homogenized to Fine-Scale Maps for Multiscale PDE	1
A Hierarchy of Network Models Giving Bistability Under Triadic Closure	1
Computational Polyconvexification of Isotropic Functions	1
Gradient Estimates for Electric Fields with MultiScale Inclusions in the Quasi-Static Regime	1
Rigidity Percolation in Disordered 3D Rod Systems	1
Preconditioned Algorithm for Difference of Convex Functions with Applications to Graph Ginzburg–Landau Model	1
Efficient Uncertainty Quantification for Mechanical Properties of Randomly Perturbed Elastic Rods	1
Improved Self-consistent Field Iteration for Kohn–Sham Density Functional Theory	1
Error Estimate of Multiscale Finite Element Method for Periodic Media Revisited	1
Electronic Observables for Relaxed Bilayer Two-Dimensional Heterostructures in Momentum Space	1
Convergence of the Planewave Approximations for Quantum Incommensurate Systems	1