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 2020-03-01 to 2024-03-01.)

Article	Citations
Weak SINDy: Galerkin-Based Data-Driven Model Selection	35
Tunable Eigenvector-Based Centralities for Multiplex and Temporal Networks	21
Compression, Inversion, and Approximate PCA of Dense Kernel Matrices at Near-Linear Computational Complexity	19
Effective Coupling Conditions for Arbitrary Flows in Stokes--Darcy Systems	15
Kernel Analog Forecasting: Multiscale Test Problems	12
Transition Path Theory for Langevin Dynamics on Manifolds: Optimal Control and Data-Driven Solver	11
Improved Uniform Error Bounds on Time-Splitting Methods for the Long-Time Dynamics of the Dirac Equation with Small Potentials	10
Exponential Convergence for Multiscale Linear Elliptic PDEs via Adaptive Edge Basis Functions	10
Uniform Error Bounds of an Exponential Wave Integrator for the Long-Time Dynamics of the Nonlinear Klein--Gordon Equation	9
Asymptotic Analysis of Target Fluxes in the Three-Dimensional Narrow Capture Problem	9
Optimal Local Approximation Spaces for Parabolic Problems	8
Multi-Resolution Localized Orthogonal Decomposition for Helmholtz Problems	8
Multiscale Invariants of Floquet Topological Insulators	8
A Diffuse-Domain Phase-Field Lattice Boltzmann Method for Two-Phase Flows in Complex Geometries	8
Metropolized Multiscale Forest Recombination for Redistricting	7
Mixed Finite Element Approximation of Periodic Hamilton--Jacobi--Bellman Problems With Application to Numerical Homogenization	7
Coupling Particle-Based Reaction-Diffusion Simulations with Reservoirs Mediated by Reaction-Diffusion PDEs	7
Efficient Construction of Tensor Ring Representations from Sampling	7
Multiflocks: Emergent Dynamics in Systems with Multiscale Collective Behavior	7
Efficiency of Micro-Macro Models for Reactive Two-Mineral Systems	7
MultiScale Approach for Two-Dimensional Diffeomorphic Image Registration	7
Homogenization of Two-Phase Flow in Porous Media From Pore to Darcy Scale: A Phase-Field Approach	6
Analysis of the Acoustic Waves Reflected by a Cluster of Small Holes in the Time-Domain and the Equivalent Mass Density	6
A Space-Time Multiscale Method for Parabolic Problems	6
Multiscale Modeling of Glioma Invasion: From Receptor Binding to Flux-Limited Macroscopic PDEs	6

NonReciprocal Wave Propagation in Space-Time Modulated Media	6
An Inverse Random Source Problem for Maxwell's Equations	6
A Hybrid Finite-Volume, Discontinuous Galerkin Discretization for the Radiative Transport Equation	5
Sharp Error Estimates on a Stochastic Structure-Preserving Scheme in Computing Effective Diffusivity of 3D Chaotic Flows	5
On Asymptotic Preserving Schemes for a Class of Stochastic Differential Equations in Averaging and Diffusion Approximation Regimes	5
Adaptive Solution of Initial Value Problems by a Dynamical Galerkin Scheme	5
An Asymptotic Representation Formula for Scattering by Thin Tubular Structures and an Application in Inverse Scattering	5
On Near-cloaking for Linear Elasticity	5
On Continuum Approximations of Discrete-State Markov Processes of Large System Size	5
Optimal Reaction Coordinates: Variational Characterization and Sparse Computation	4
Approximate Optimal Controls via Instanton Expansion for Low Temperature Free Energy Computation	4
Diffusive Limit of a Two-Dimensional Well-Balanced Scheme for the Free Klein--Kramers Equation	4
Asymptotic Characterization of Localized Defect Modes: Su–Schrieffer–Heeger and Related Models	4
Derivation and Closure of Baer and Nunziato Type Multiphase Models by Averaging a Simple Stochastic Model	4
Optimal Convergence Rates for Elliptic Homogenization Problems in Nondivergence-Form: Analysis and Numerical Illustrations	4
Approximative Policy Iteration for Exit Time Feedback Control Problems Driven by Stochastic Differential Equations using Tensor Train Format	4
A Semi-Lagrangian Computation of Front Speeds of G-equation in ABC and Kolmogorov Flows with Estimation via Ballistic Orbits	4
Learning Markovian Homogenized Models in Viscoelasticity	4
Multiscale Global Sensitivity Analysis for Stochastic Chemical Systems	4
Trapping of Planar Brownian Motion: Full First Passage Time Distributions by Kinetic Monte Carlo, Asymptotic, and Boundary Integral Methods	4
Computational Modeling for High-Fidelity Coarsening of Shallow Water Equations Based on Subgrid Data	4
How Do Degenerate Mobilities Determine Singularity Formation in Cahn--Hilliard Equations?	3
Kinetic Modeling of Multiple Scattering of Acoustic Waves in Randomly Heterogeneous Flows	3
Enriched Nonconforming Multiscale Finite Element Method for Stokes Flows in Heterogeneous Media Based on High-order Weighting Functions	3
The Narrow Capture Problem with Partially Absorbing Targets and Stochastic Resetting	3
Constraint Energy Minimizing Generalized Multiscale Finite Element Method for Inhomogeneous Boundary Value Problems with High Contrast Coefficients	3
A Kinetic Monte Carlo Approach for Simulating Cascading Transmission Line Failure	3
Multilevel Fine-Tuning: Closing Generalization Gaps in Approximation of Solution Maps under a Limited Budget for Training Data	3
Analysis of a Sinclair-Type Domain Decomposition Solver for Atomistic/Continuum Coupling	3
High Order Topological Asymptotics: Reconciling Layer Potentials and Compound Asymptotic Expansions	3
Multiscale Control of Generic Second Order Traffic Models by Driver-Assist Vehicles	3
High Contrast Elliptic Operators in Honeycomb Structures	3
A Low-Rank Schwarz Method for Radiative Transfer Equation With Heterogeneous Scattering Coefficient	3
Multiscale Elliptic PDE Upscaling and Function Approximation via Subsampled Data	3
Wave Propagation in Periodic and Random Time-Dependent Media	3
QM/MM Methods for Crystalline Defects. Part 3: Machine-Learned MM Models	3
Wavelet-based Edge Multiscale Finite Element Method for Helmholtz problems in perforated domains	3
Accuracy of Multiscale Reduction for Stochastic Reaction Systems	3
Stress from Long-Range Interactions in Particulate Systems	3
Singular Limit for Reactive Diffusive Transport Through an Array of Thin Channels in case of Critical Diffusivity	3
Statistical Learning of Nonlinear Stochastic Differential Equations from Nonstationary Time Series using Variational Clustering	3
A Multiscale Method for Heterogeneous Bulk-Surface Coupling	3
Discrete-Time Inference for Slow-Fast Systems Driven by Fractional Brownian Motion	2
On the Random Batch Method for Second Order Interacting Particle Systems	2
Upscaling Errors in Heterogeneous Multiscale Methods for the Landau--Lifshitz Equation	2
Mathematical Models of Topologically Protected Transport in Twisted Bilayer Graphene	2
Quantized Tensor FEM for Multiscale Problems: Diffusion Problems in Two and Three Dimensions	2
Numerical Scheme for Kinetic Transport Equation with Internal State	2
Hierarchical Model Reduction Techniques for Flow Modeling in a Parametrized Setting	2
A Framework for a Generalization Analysis of Machine-Learned Interatomic Potentials	2

Bimolecular Binding Rates for Pairs of Spherical Molecules with Small Binding Sites	2
An MsFEM Approach Enriched Using Legendre Polynomials	2
Hamiltonian Dysthe Equation for Three-Dimensional Deep-Water Gravity Waves	2
The Heterogeneous Multiscale Method for Dispersive Maxwell Systems	2
Rigidity Percolation in Disordered 3D Rod Systems	2
Uniformly Accurate Nested Picard Iterative Integrators for the Nonlinear Dirac Equation in the Nonrelativistic Regime	2
FMM-LU: A Fast Direct Solver for Multiscale Boundary Integral Equations in Three Dimensions	2
Strain and Defects in Oblique Stripe Growth	2
Variational Asymptotic Preserving Scheme for the Vlasov--Poisson--Fokker--Planck System	2
A Neural Network Approach for Homogenization of Multiscale Problems	2
Generalized Multiscale Finite Element Method for Highly Heterogeneous Compressible Flow	2
Hadamard--Babich Ansatz for Point-Source Elastic Wave Equations in Variable Media at High Frequencies	2
Asymptotic Analysis of Nonlinear Robin-Type Boundary Value Problems with Small Periodic Structure	2
Explicit and Energy-Conserving Constraint Energy Minimizing Generalized Multiscale Discontinuous Galerkin Method for Wave Propagation in Heterogeneous Media	2
The 3D Narrow Capture Problem for Traps with Semipermeable Interfaces	2
Wide-Band Butterfly Network: Stable and Efficient Inversion Via Multi-Frequency Neural Networks	2
Simulation of Non-Lipschitz Stochastic Differential Equations Driven by $\alpha$-Stable Noise: A Method Based on Deterministic Homogenization	1
Hyperbolic Systems of Moment Equations Describing Sedimentation in Suspensions of Rod-Like Particles	1
AMS-Net: Adaptive Multiscale Sparse Neural Network with Interpretable Basis Expansion for Multiphase Flow Problems	1
Exponentially Convergent Multiscale Methods for 2D High Frequency Heterogeneous Helmholtz Equations	1
Machine Learning Moment Closure Models for the Radiative Transfer Equation II: Enforcing Global Hyperbolicity in Gradient-Based Closures	1
Estimation of the Koopman Generator by Newton's Extrapolation	1
Constraint Energy Minimizing Generalized Multiscale Finite Element Method for Convection Diffusion Equation	1
Higher Order Phase Averaging for Highly Oscillatory Systems	1
Mathematical Study of a Lagrange-Multiplier Technique for Stiff Transport Problems	1
Quasi-Convergence of an Implementation of Optimal Balance by Backward-Forward Nudging	1
Mathematical Proof of the Mandel--Cryer Effect in Poroelasticity	1
A Hierarchy of Network Models Giving Bistability Under Triadic Closure	1
Iterated Numerical Homogenization for MultiScale Elliptic Equations with Monotone Nonlinearity	1
Quasistatic Evolution with Unstable Forces	1
Inverse Random Potential Scattering for Elastic Waves	1
The Interaction Between Two Close-To-Touching Convex Acoustic Subwavelength Resonators	1
Online Adaptive Algorithm for Constraint Energy Minimizing Generalized Multiscale Discontinuous Galerkin Method	1
Manifold Learning and Nonlinear Homogenization	1
A Nonlinear Moment Model for Radiative Transfer Equation	1
Heat Generation Using Lorentzian Nanoparticles: Estimation via Time-Domain Techniques	1
Gradient Estimates for Electric Fields with MultiScale Inclusions in the Quasi-Static Regime	1
Elastic Far-Field Decay from Dislocations in Multilattices	1
Three-Dimensional Random Wave Coupling Along a Boundary and an Associated Inverse Problem	1
On the Periodic Homogenization of Elliptic Equations in Nondivergence Form with Large Drifts	1
Simulation and Optimization of Mean First Passage Time Problems in 2-D Using Numerical Embedded Methods and Perturbation Theory	1
Wave Packets in the Fractional Nonlinear Schrödinger Equation with a Honeycomb Potential	1
A Fast Butterfly-Compressed Hadamard–Babich Integrator for High-Frequency Helmholtz Equations in Inhomogeneous Media with Arbitrary Sources	1
Multiscale Analysis for Dynamic Contact Angle Hysteresis on Rough Surfaces	1
Analysis and Optimization of Certain Parallel Monte Carlo Methods in the Low Temperature Limit	1
Multiscale Modeling of Sorption Kinetics	1
Edge Modes in Subwavelength Resonators in One Dimension	1
Homogenization of Boundary Layers in the Boltzmann--Poisson System	1
A Modified Split Bregman Algorithm for Computing Microstructures Through Young Measures	1
Extending the Regime of Linear Response with Synthetic Forcings	1