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 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
Metropolis Crystal Surface Dynamics in the Rough Scaling Limit: From Local Equilibrium to Semi-Empirical PDE	15
Micro-Macro Stochastic Galerkin Methods for Nonlinear Fokker–Planck Equations with Random Inputs	15
A Bending-Torsion Theory for Thin and Ultrathin Rods as a \(\boldsymbol{\Gamma}\)-Limit of Atomistic Models	14
Homogenization of the Stokes System in a Non-Periodically Perforated Domain	13
Reconstruction of Multiscale Electromagnetic Sources from Multifrequency Electric Far Field Patterns at Sparse Observation Directions	13
Sharp-Interface Limits of Cahn–Hilliard Models and Mechanics with Moving Contact Lines	12
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
Multiscale Modeling of Tumor-Macrophage Interactions Underlying Immunotherapy Resistance in Glioblastoma	11
Continuum Model and Numerical Method for Dislocation Structure and Energy of Grain Boundaries	11
Elastic Far-Field Decay from Dislocations in Multilattices	11
Topological Sensitivity-Based Analysis and Optimization of Microstructured Interfaces	10
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
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
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

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
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
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
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
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
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
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
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
Convergence of a Direct Simulation Monte Carlo Method for the Space Inhomogeneous Semiconductor Boltzmann Equations with Multi-valley	4
Crystallinity of the Homogenized Energy Density of Periodic Lattice Systems	4
Semi-Implicit Particle-in-Cell Methods Embedding Sparse Grid Reconstructions	4
Multiscale Motion and Deformation of Bumps in Stochastic Neural Fields with Dynamic Connectivity	4
Quantum Algorithms for Multiscale Partial Differential Equations	4
Geometric Evolution of Bilayers under the Degenerate Functionalized Cahn–Hilliard Equation	4
Quasi-Convergence of an Implementation of Optimal Balance by Backward-Forward Nudging	4
Radiative Decay of Edge States in Floquet Media	4
Bottom-Up Transient Time Models in Coarse-Graining Molecular Systems	4
Stochastic Continuum Models for High-Entropy Alloys with Short-range Order	4
Mathematical Theory for Electromagnetic Scattering Resonances and Field Enhancement in a Subwavelength Annular Gap	4
Exponential Convergence of a Generalized FEM for Heterogeneous Reaction-Diffusion Equations	4
Mobility Estimation for Langevin Dynamics Using Control Variates	4
Statistical Learning of Nonlinear Stochastic Differential Equations from Nonstationary Time Series using Variational Clustering	4
Manifold Learning and Nonlinear Homogenization	4
Inverse Random Source Problems for the Helmholtz and Navier Equations	3

Homogenization of the Stokes System in a Domain with an Oscillating Boundary	3
Accuracy and Stability Analysis of the Semi-Lagrangian Method for Stiff Hyperbolic Relaxation Systems and Kinetic BGK Model	3
A Multifidelity Machine Learning Based Semi-Lagrangian Finite Volume Scheme for Linear Transport Equations and the Nonlinear Vlasov–Poisson System	3
Localized Orthogonal Decomposition for a Multiscale Parabolic Stochastic Partial Differential Equation	3
Heterogeneous Multiscale Methods for Fourth-Order Singular Perturbations	3
Error Estimate of Multiscale Finite Element Method for Periodic Media Revisited	3
Convergence of the Planewave Approximations for Quantum Incommensurate Systems	3
A Graph Random Walk Method for Calculating Time-of-Flight Charge Mobility in Organic Semiconductors from Multiscale Simulations	3
Constraint Energy Minimizing Generalized Multiscale Finite Element Method for Inhomogeneous Boundary Value Problems with High Contrast Coefficients	3
Solving the Long-Time Nonlinear Schrödinger Equation by a Class of Oscillation-Relaxation Integrators	3
The Narrow Capture Problem with Partially Absorbing Targets and Stochastic Resetting	3
Double-Well Net for Image Segmentation	3
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	3
Representative Volume Element Approximations in Elastoplastic Spring Networks	3
Extending the Regime of Linear Response with Synthetic Forcings	3
Improved Self-consistent Field Iteration for Kohn–Sham Density Functional Theory	3
Surrogate Models for Vibrational Entropy Based on a Spatial Decomposition	3
Multiscale Invariants of Floquet Topological Insulators	3
Learning Markovian Homogenized Models in Viscoelasticity	3
Asymptotic Characterization of Localized Defect Modes: Su–Schrieffer–Heeger and Related Models	2
Rigidity Percolation in Disordered 3D Rod Systems	2
Transition Path Theory for Langevin Dynamics on Manifolds: Optimal Control and Data-Driven Solver	2
Hamiltonian Dysthe Equation for Three-Dimensional Deep-Water Gravity Waves	2
Pattern Formation of a Pathway-Based Diffusion Model: Linear Stability Analysis and an Asymptotic Preserving Method	2
Quasistatic Evolution with Unstable Forces	2
Efficient Numerical Method for the Schrödinger Equation with High-Contrast Potentials	2
Multiscale Modeling of Glioma Invasion: From Receptor Binding to Flux-Limited Macroscopic PDEs	2
On the Random Batch Method for Second Order Interacting Particle Systems	2
Heat Generation Using Lorentzian Nanoparticles: Estimation via Time-Domain Techniques	2
Speckle Memory Effect in the Frequency Domain and Stability in Time-Reversal Experiments	2
Ranking Edges by Their Impact on the Spectral Complexity of Information Diffusion over Networks	2
Electronic Observables for Relaxed Bilayer Two-Dimensional Heterostructures in Momentum Space	2
Uniformly Accurate Nested Picard Iterative Integrators for the Nonlinear Dirac Equation in the Nonrelativistic Regime	2
A Method to Coarse-Grain MultiAgent Stochastic Systems with Regions of Multistability	2
Artificial Boundary Conditions for Random Elliptic Systems with Correlated Coefficient Field	2
Efficient Uncertainty Quantification for Mechanical Properties of Randomly Perturbed Elastic Rods	2
Gradient Estimates for Electric Fields with MultiScale Inclusions in the Quasi-Static Regime	2
Large Deviation Principle and Thermodynamic Limit of Chemical Master Equation via Nonlinear Semigroup	2
Direct Algorithms for Reconstructing Small Conductivity Inclusions in Subdiffusion	2
Preconditioned Algorithm for Difference of Convex Functions with Applications to Graph Ginzburg–Landau Model	2
Steklov–Neumann Spectral Problem: Asymptotic Analysis and Applications to Diffusion-Controlled Reactions	2
Mathematical Models of Topologically Protected Transport in Twisted Bilayer Graphene	2
Asymptotic Analysis for Bloch Electrons with Weyl Nodes	2
Neural Network Approximation of Coarse-Scale Surrogates in Numerical Homogenization	2
Double Dirac Cones in Band Structures of Periodic Schroedinger Operators	2