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 2022-08-01 to 2026-08-01.)

Article	Citations
High-order Contrast Bounds for Piezoelectric Constants of Two-phase Fibrous Composites	35
Online Multiscale Model Reduction for Nonlinear Stochastic PDEs with Multiplicative Noise	25
Homogenization for Maxwell and Friends	20
Micro-Macro Stochastic Galerkin Methods for Nonlinear Fokker–Planck Equations with Random Inputs	19
Multiscale Finite Expression Method for PDEs with Oscillatory Solutions on Complex Domains	19
Homogenization of the Richards Equation in Porous Media: Multiscale Modelling of Water Transport in Vegetated Soil	19
Metropolis Crystal Surface Dynamics in the Rough Scaling Limit: From Local Equilibrium to Semi-Empirical PDE	18
A Bending-Torsion Theory for Thin and Ultrathin Rods as a \(\boldsymbol{\Gamma}\)-Limit of Atomistic Models	18
Reconstruction of Multiscale Electromagnetic Sources from Multifrequency Electric Far Field Patterns at Sparse Observation Directions	18
Wavelet-Based Density Sketching with Functional Hierarchical Tensor	14
Homogenization and Dimension Reduction of the Stokes Problem with Navier-Slip Condition in Thin Perforated Layers	14
Sharp-Interface Limits of Cahn–Hilliard Models and Mechanics with Moving Contact Lines	14
Boundary Homogenization for Partially Reactive Patches	12
Topological Sensitivity-Based Analysis and Optimization of Microstructured Interfaces	12
Quantum Mechanics for Closure of Dynamical Systems	12
Numerical Upscaling for Wave Equations with Time-Dependent Multiscale Coefficients	12
Multiscale Modeling of Tumor-Macrophage Interactions Underlying Immunotherapy Resistance in Glioblastoma	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
Elastic Far-Field Decay from Dislocations in Multilattices	11
Homogenization of Nonlinear Blood Flow in Periodic Networks: The Limit of Small Haematocrit Heterogeneity	11
Uniform Observable Error Bounds of Trotter Formulae for the Semiclassical Schrödinger Equation	11
QM/MM Methods for Crystalline Defects. Part 3: Machine-Learned MM Models	10
Global Well-Posedness and Numerical Justification of an Effective Micro-Macro Model for Reactive Transport in Elastic Perforated Media	10
Vortex-Capturing Multiscale Spaces for the Ginzburg–Landau Equation	10

A Diffuse-Domain Phase-Field Lattice Boltzmann Method for Two-Phase Flows in Complex Geometries	10
Horizontal Mean Curvature Flow as a Scaling Limit of a Mean Field Equation in the Heisenberg Group	10
Two-Scale Analysis of the Electrostatics of Dielectric Crystals: Emergence of Polarization Density and Boundary Charges	9
Fourth-Order Adaptive Mesh Refinement Both in Space and in Time for Incompressible Navier–Stokes Equations with Dirichlet Boundary Conditions	9
Asymptotic Consistent Formulation and Numerical Methods for the Periodic Zakharov System in the Subsonic Limit Regime	9
Multiscale Approach for Variational Problem Joint Diffeomorphic Image Registration and Intensity Correction: Theory and Application	9
An Effective Fractional Paraxial Wave Equation for Wave-Fronts in Randomly Layered Media with Long-Range Correlations	9
Time Multiscale Modeling of Sorption Kinetics I: Uniformly Accurate Schemes for Highly Oscillatory Advection-Diffusion Equation	9
Embedded Corrector Problems for Homogenization in Linear Elasticity	8
An Efficient Algorithm for the Acoustic Wave Scattering by a Local Rough Interface	8
Aggregation Methods for Computing Steady States in Statistical Physics	8
Asymptotic Expansions of Evolution Equations with Fast Volatility	8
Effective Heat Transfer Between a Porous Medium and a Fluid Layer: Homogenization and Simulation	8
On Finding Optimal Collective Variables for Complex Systems by Minimizing the Deviation between Effective and Full Dynamics	8
Multiscale Analysis for Dynamic Contact Angle Hysteresis on Rough Surfaces	7
HiPhom\({\varepsilon }\): High-Order Projection-Based Homogenization for Advection-Diffusion-Reaction Problems	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
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
Semiclassical Propagation Along Curved Domain Walls	7
The Effective Reactivity for Capturing Brownian Motion by Partially Reactive Patches on a Spherical Surface	7
Homogenization of a Porous Intercalation Electrode with Phase Separation	7
The Interaction Between Two Close-To-Touching Convex Acoustic Subwavelength Resonators	7
A New Class of Uniformly Stable Time-Domain Foldy–Lax Models for Scattering by Small Particles. Acoustic Sound-Soft Scattering by Circles	6
A Micro-Macro Decomposed Reduced Basis Method for the Time-Dependent Radiative Transfer Equation	6
Potential Singularity Formation of Incompressible Axisymmetric Euler Equations with Degenerate Viscosity Coefficients	6
FMM-LU: A Fast Direct Solver for Multiscale Boundary Integral Equations in Three Dimensions	6
Surface Waves in Randomly Perturbed Discrete Models	6
A Fast Butterfly-Compressed Hadamard–Babich Integrator for High-Frequency Helmholtz Equations in Inhomogeneous Media with Arbitrary Sources	6
Convergence of a Direct Simulation Monte Carlo Method for the Space Inhomogeneous Semiconductor Boltzmann Equations with Multi-valley	5
Inverse Random Potential Scattering for Elastic Waves	5
NonReciprocal Wave Propagation in Space-Time Modulated Media	5
Three-Dimensional Random Wave Coupling Along a Boundary and an Associated Inverse Problem	5
An \(\textit{H}(\text{div;}\,\Omega)\)-Conforming Flux Reconstruction for the Multiscale Hybrid-Mixed Method	5
A Unified Modeling of Underground-Surface Hydraulic Processes	5
Adaptive Solution of Initial Value Problems by a Dynamical Galerkin Scheme	5
Stable Nearly Self-Similar Blowup of the 2D Boussinesq and 3D Euler Equations with Smooth Data II: Rigorous Numerics	5
Incompleteness of Sinclair-Type Continuum Flexible Boundary Conditions for Atomistic Fracture Simulations	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
Radiative Decay of Edge States in Floquet Media	4
Geometric Evolution of Bilayers under the Degenerate Functionalized Cahn–Hilliard Equation	4
Analysis of an Optimal Control Problem of the Backward Fractional Feynman–Kac Equation with Temporal Approximation	4
Bottom-Up Transient Time Models in Coarse-Graining Molecular Systems	4
Competing Edge and Bulk Localization in Nonreciprocal Disordered Systems	4
Exponential Convergence of a Generalized FEM for Heterogeneous Reaction-Diffusion Equations	4
Crystallinity of the Homogenized Energy Density of Periodic Lattice Systems	4
Variational Multiscale Stabilized Finite Element Analysis of Transient Magnetohydrodynamic Navier–Stokes Flow	4
Statistical Learning of Nonlinear Stochastic Differential Equations from Nonstationary Time Series using Variational Clustering	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
Asymptotic-Preserving and Positivity-Preserving Discontinuous Galerkin Method for the Semiconductor Boltzmann Equation in the Diffusive Scaling	4
Mobility Estimation for Langevin Dynamics Using Control Variates	4
Construction of Boundary Conditions for Hyperbolic Relaxation Approximations III: The Linearized Suliciu Model With Characteristic Boundaries	4
Numerical Study on a Multidimensional Pressureless Euler-Type Model with Nonlocal Interactions and Chemotaxis for Collective Cell Migration	3
Multiscale Motion and Deformation of Bumps in Stochastic Neural Fields with Dynamic Connectivity	3
Extending the Regime of Linear Response with Synthetic Forcings	3
Voltage Laws in Nanodomains Revealed by Asymptotics and Numerical Simulations of Electrodiffusion Equations	3
Improved Self-consistent Field Iteration for Kohn–Sham Density Functional Theory	3
Phenotype-Structuring of Nonlocal Kinetic Models of Cell Migration Driven by Environmental Sensing	3
Double-Well Net for Image Segmentation	3
Learning Markovian Homogenized Models in Viscoelasticity	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
Manifold Learning and Nonlinear Homogenization	3
Surrogate Models for Vibrational Entropy Based on a Spatial Decomposition	3
Semi-Implicit Particle-in-Cell Methods Embedding Sparse Grid Reconstructions	3
Stochastic Continuum Models for High-Entropy Alloys with Short-range Order	3
Quantum Algorithms for Multiscale Partial Differential Equations	3
Homogenization of the Stokes System in a Domain with an Oscillating Boundary	3
Solving the Long-Time Nonlinear Schrödinger Equation by a Class of Oscillation-Relaxation Integrators	3
Localized Orthogonal Decomposition for a Multiscale Parabolic Stochastic Partial Differential Equation	3
A Multifidelity Machine Learning Based Semi-Lagrangian Finite Volume Scheme for Linear Transport Equations and the Nonlinear Vlasov–Poisson System	3
Accuracy and Stability Analysis of the Semi-Lagrangian Method for Stiff Hyperbolic Relaxation Systems and Kinetic BGK Model	3
Multiscale Numerical Methods for Isothermal Fluid Models of Confined Plasmas	3
Heterogeneous Multiscale Methods for Fourth-Order Singular Perturbations	3
Constraint Energy Minimizing Generalized Multiscale Finite Element Method for Inhomogeneous Boundary Value Problems with High Contrast Coefficients	3
Preconditioned Algorithm for Difference of Convex Functions with Applications to Graph Ginzburg–Landau Model	2
Direct Algorithms for Reconstructing Small Conductivity Inclusions in Subdiffusion	2
A Graph Random Walk Method for Calculating Time-of-Flight Charge Mobility in Organic Semiconductors from Multiscale Simulations	2
Convergence of the Planewave Approximations for Quantum Incommensurate Systems	2
On the Convergence Analysis of MsFEM with Oversampling: Interpolation Error	2
Efficient Uncertainty Quantification for Mechanical Properties of Randomly Perturbed Elastic Rods	2
Electronic Observables for Relaxed Bilayer Two-Dimensional Heterostructures in Momentum Space	2
Pattern Formation of a Pathway-Based Diffusion Model: Linear Stability Analysis and an Asymptotic Preserving Method	2
A Kinetic-Fluid Model Describing Sedimentation in Suspensions of Rod-Like Particles and Its Approximation by Hyperbolic Moment Equations	2
Speckle Memory Effect in the Frequency Domain and Stability in Time-Reversal Experiments	2
Inverse Random Source Problems for the Helmholtz and Navier Equations	2
Error Estimate of Multiscale Finite Element Method for Periodic Media Revisited	2
Heat Generation Using Lorentzian Nanoparticles: Estimation via Time-Domain Techniques	2
Ranking Edges by Their Impact on the Spectral Complexity of Information Diffusion over Networks	2
Artificial Boundary Conditions for Random Elliptic Systems with Correlated Coefficient Field	2
Efficient Hadamard Integrators for Time-Dependent Wave Equations in Bounded Domains: Forward and Backward Propagation	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
Uniform Space and Time Behavior for Acoustic Resonators	2
Representative Volume Element Approximations in Elastoplastic Spring Networks	2
Transition Path Theory for Langevin Dynamics on Manifolds: Optimal Control and Data-Driven Solver	2
Asymptotic Characterization of Localized Defect Modes: Su–Schrieffer–Heeger and Related Models	2
Steklov–Neumann Spectral Problem: Asymptotic Analysis and Applications to Diffusion-Controlled Reactions	2
Asymptotic Analysis for Bloch Electrons with Weyl Nodes	2