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

Article	Citations
Online Multiscale Model Reduction for Nonlinear Stochastic PDEs with Multiplicative Noise	32
Micro-Macro Stochastic Galerkin Methods for Nonlinear Fokker–Planck Equations with Random Inputs	19
High-order Contrast Bounds for Piezoelectric Constants of Two-phase Fibrous Composites	19
Homogenization for Maxwell and Friends	18
A Bending-Torsion Theory for Thin and Ultrathin Rods as a \(\boldsymbol{\Gamma}\)-Limit of Atomistic Models	17
Metropolis Crystal Surface Dynamics in the Rough Scaling Limit: From Local Equilibrium to Semi-Empirical PDE	17
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
Quantum Mechanics for Closure of Dynamical Systems	16
Multiscale Modeling of Tumor-Macrophage Interactions Underlying Immunotherapy Resistance in Glioblastoma	14
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
Boundary Homogenization for Partially Reactive Patches	12
On the Generalization Ability of Coarse-Grained Molecular Dynamics Models for Nonequilibrium Processes	12
Topological Sensitivity-Based Analysis and Optimization of Microstructured Interfaces	12
Elastic Far-Field Decay from Dislocations in Multilattices	12
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
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
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
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
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
Asymptotic Expansions of Evolution Equations with Fast Volatility	9
Embedded Corrector Problems for Homogenization in Linear Elasticity	8
On the Multiscale Landau–Lifshitz–Gilbert Equation: Two-Scale Convergence and Stability Analysis	8
Multiscale Analysis for Dynamic Contact Angle Hysteresis on Rough Surfaces	8
Aggregation Methods for Computing Steady States in Statistical Physics	8
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
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 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
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 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
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
Geometric Evolution of Bilayers under the Degenerate Functionalized Cahn–Hilliard Equation	4
Bottom-Up Transient Time Models in Coarse-Graining Molecular Systems	4
Radiative Decay of Edge States in Floquet Media	4
Crystallinity of the Homogenized Energy Density of Periodic Lattice Systems	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
Asymptotic-Preserving and Positivity-Preserving Discontinuous Galerkin Method for the Semiconductor Boltzmann Equation in the Diffusive Scaling	4
Analysis of an Optimal Control Problem of the Backward Fractional Feynman–Kac Equation with Temporal Approximation	4
Semi-Implicit Particle-in-Cell Methods Embedding Sparse Grid Reconstructions	4
Construction of Boundary Conditions for Hyperbolic Relaxation Approximations III: The Linearized Suliciu Model With Characteristic Boundaries	4

An \(\textit{H}(\text{div;}\,\Omega)\)-Conforming Flux Reconstruction for the Multiscale Hybrid-Mixed Method	4
Competing Edge and Bulk Localization in Nonreciprocal Disordered Systems	4
Constraint Energy Minimizing Generalized Multiscale Finite Element Method for Inhomogeneous Boundary Value Problems with High Contrast Coefficients	3
The Narrow Capture Problem with Partially Absorbing Targets and Stochastic Resetting	3
Localized Orthogonal Decomposition for a Multiscale Parabolic Stochastic Partial Differential Equation	3
Solving the Long-Time Nonlinear Schrödinger Equation by a Class of Oscillation-Relaxation Integrators	3
Convergence of the Planewave Approximations for Quantum Incommensurate Systems	3
A Multifidelity Machine Learning Based Semi-Lagrangian Finite Volume Scheme for Linear Transport Equations and the Nonlinear Vlasov–Poisson System	3
Heterogeneous Multiscale Methods for Fourth-Order Singular Perturbations	3
Stochastic Continuum Models for High-Entropy Alloys with Short-range Order	3
Accuracy and Stability Analysis of the Semi-Lagrangian Method for Stiff Hyperbolic Relaxation Systems and Kinetic BGK Model	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
Multiscale Motion and Deformation of Bumps in Stochastic Neural Fields with Dynamic Connectivity	3
Learning Markovian Homogenized Models in Viscoelasticity	3
Voltage Laws in Nanodomains Revealed by Asymptotics and Numerical Simulations of Electrodiffusion Equations	3
Double-Well Net for Image Segmentation	3
Improved Self-consistent Field Iteration for Kohn–Sham Density Functional Theory	3
Surrogate Models for Vibrational Entropy Based on a Spatial Decomposition	3
Inverse Random Source Problems for the Helmholtz and Navier Equations	3
Manifold Learning and Nonlinear Homogenization	3
Quantum Algorithms for Multiscale Partial Differential Equations	3
Homogenization of the Stokes System in a Domain with an Oscillating Boundary	2
A Graph Random Walk Method for Calculating Time-of-Flight Charge Mobility in Organic Semiconductors from Multiscale Simulations	2
Numerical Study on a Multidimensional Pressureless Euler-Type Model with Nonlocal Interactions and Chemotaxis for Collective Cell Migration	2
Gradient Estimates for Electric Fields with MultiScale Inclusions in the Quasi-Static Regime	2
Efficient Hadamard Integrators for Time-Dependent Wave Equations in Bounded Domains: Forward and Backward Propagation	2
Electronic Observables for Relaxed Bilayer Two-Dimensional Heterostructures in Momentum Space	2
Preconditioned Algorithm for Difference of Convex Functions with Applications to Graph Ginzburg–Landau Model	2
Transition Path Theory for Langevin Dynamics on Manifolds: Optimal Control and Data-Driven Solver	2
Direct Algorithms for Reconstructing Small Conductivity Inclusions in Subdiffusion	2
Speckle Memory Effect in the Frequency Domain and Stability in Time-Reversal Experiments	2
Error Estimate of Multiscale Finite Element Method for Periodic Media Revisited	2
Heat Generation Using Lorentzian Nanoparticles: Estimation via Time-Domain Techniques	2
Artificial Boundary Conditions for Random Elliptic Systems with Correlated Coefficient Field	2
Steklov–Neumann Spectral Problem: Asymptotic Analysis and Applications to Diffusion-Controlled Reactions	2
A Kinetic-Fluid Model Describing Sedimentation in Suspensions of Rod-Like Particles and Its Approximation by Hyperbolic Moment Equations	2
On the Convergence Analysis of MsFEM with Oversampling: Interpolation Error	2
Asymptotic Characterization of Localized Defect Modes: Su–Schrieffer–Heeger and Related Models	2
Uniform Space and Time Behavior for Acoustic Resonators	2
Extending the Regime of Linear Response with Synthetic Forcings	2
Representative Volume Element Approximations in Elastoplastic Spring Networks	2
Ranking Edges by Their Impact on the Spectral Complexity of Information Diffusion over Networks	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
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
Large Deviation Principle and Thermodynamic Limit of Chemical Master Equation via Nonlinear Semigroup	2