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 2020-11-01 to 2024-11-01.)

Article	Citations
Weak SINDy: Galerkin-Based Data-Driven Model Selection	53
Compression, Inversion, and Approximate PCA of Dense Kernel Matrices at Near-Linear Computational Complexity	29
Tunable Eigenvector-Based Centralities for Multiplex and Temporal Networks	27
Effective Coupling Conditions for Arbitrary Flows in Stokes--Darcy Systems	20
A Diffuse-Domain Phase-Field Lattice Boltzmann Method for Two-Phase Flows in Complex Geometries	16
Kernel Analog Forecasting: Multiscale Test Problems	16
Improved Uniform Error Bounds on Time-Splitting Methods for the Long-Time Dynamics of the Dirac Equation with Small Potentials	14
Uniform Error Bounds of an Exponential Wave Integrator for the Long-Time Dynamics of the Nonlinear Klein--Gordon Equation	13
Transition Path Theory for Langevin Dynamics on Manifolds: Optimal Control and Data-Driven Solver	11
Asymptotic Analysis of Target Fluxes in the Three-Dimensional Narrow Capture Problem	10
Multi-Resolution Localized Orthogonal Decomposition for Helmholtz Problems	10
Exponential Convergence for Multiscale Linear Elliptic PDEs via Adaptive Edge Basis Functions	10
Optimal Local Approximation Spaces for Parabolic Problems	9
Multiscale Invariants of Floquet Topological Insulators	9
MultiScale Approach for Two-Dimensional Diffeomorphic Image Registration	9
Metropolized Multiscale Forest Recombination for Redistricting	8
Learning Markovian Homogenized Models in Viscoelasticity	8
Mixed Finite Element Approximation of Periodic Hamilton--Jacobi--Bellman Problems With Application to Numerical Homogenization	8
Efficiency of Micro-Macro Models for Reactive Two-Mineral Systems	8
Homogenization of Two-Phase Flow in Porous Media From Pore to Darcy Scale: A Phase-Field Approach	8
Multiscale Modeling of Glioma Invasion: From Receptor Binding to Flux-Limited Macroscopic PDEs	8
NonReciprocal Wave Propagation in Space-Time Modulated Media	8
Efficient Construction of Tensor Ring Representations from Sampling	8
Multiflocks: Emergent Dynamics in Systems with Multiscale Collective Behavior	8
Coupling Particle-Based Reaction-Diffusion Simulations with Reservoirs Mediated by Reaction-Diffusion PDEs	7

Singular Limit for Reactive Diffusive Transport Through an Array of Thin Channels in case of Critical Diffusivity	6
Analysis of the Acoustic Waves Reflected by a Cluster of Small Holes in the Time-Domain and the Equivalent Mass Density	6
A Neural Network Approach for Homogenization of Multiscale Problems	6
A Space-Time Multiscale Method for Parabolic Problems	6
Approximative Policy Iteration for Exit Time Feedback Control Problems Driven by Stochastic Differential Equations using Tensor Train Format	6
An Inverse Random Source Problem for Maxwell's Equations	6
On Asymptotic Preserving Schemes for a Class of Stochastic Differential Equations in Averaging and Diffusion Approximation Regimes	6
Adaptive Solution of Initial Value Problems by a Dynamical Galerkin Scheme	6
Sharp Error Estimates on a Stochastic Structure-Preserving Scheme in Computing Effective Diffusivity of 3D Chaotic Flows	6
On Continuum Approximations of Discrete-State Markov Processes of Large System Size	6
A Semi-Lagrangian Computation of Front Speeds of G-equation in ABC and Kolmogorov Flows with Estimation via Ballistic Orbits	5
High Contrast Elliptic Operators in Honeycomb Structures	5
An Asymptotic Representation Formula for Scattering by Thin Tubular Structures and an Application in Inverse Scattering	5
Asymptotic Characterization of Localized Defect Modes: Su–Schrieffer–Heeger and Related Models	5
A Hybrid Finite-Volume, Discontinuous Galerkin Discretization for the Radiative Transport Equation	5
Approximate Optimal Controls via Instanton Expansion for Low Temperature Free Energy Computation	5
Optimal Reaction Coordinates: Variational Characterization and Sparse Computation	5
On Near-cloaking for Linear Elasticity	5
Multiscale Global Sensitivity Analysis for Stochastic Chemical Systems	5
Wave Propagation in Periodic and Random Time-Dependent Media	4
Analysis of a Sinclair-Type Domain Decomposition Solver for Atomistic/Continuum Coupling	4
Wavelet-based Edge Multiscale Finite Element Method for Helmholtz problems in perforated domains	4
Mathematical Models of Topologically Protected Transport in Twisted Bilayer Graphene	4
Derivation and Closure of Baer and Nunziato Type Multiphase Models by Averaging a Simple Stochastic Model	4
Constraint Energy Minimizing Generalized Multiscale Finite Element Method for Inhomogeneous Boundary Value Problems with High Contrast Coefficients	4
A Framework for a Generalization Analysis of Machine-Learned Interatomic Potentials	4
Bimolecular Binding Rates for Pairs of Spherical Molecules with Small Binding Sites	4
A Multiscale Method for Heterogeneous Bulk-Surface Coupling	4
QM/MM Methods for Crystalline Defects. Part 3: Machine-Learned MM Models	4
Explicit and Energy-Conserving Constraint Energy Minimizing Generalized Multiscale Discontinuous Galerkin Method for Wave Propagation in Heterogeneous Media	4
Multiscale Control of Generic Second Order Traffic Models by Driver-Assist Vehicles	4
The Narrow Capture Problem with Partially Absorbing Targets and Stochastic Resetting	4
Wide-Band Butterfly Network: Stable and Efficient Inversion Via Multi-Frequency Neural Networks	4
Optimal Convergence Rates for Elliptic Homogenization Problems in Nondivergence-Form: Analysis and Numerical Illustrations	4
Multilevel Fine-Tuning: Closing Generalization Gaps in Approximation of Solution Maps under a Limited Budget for Training Data	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
High Order Topological Asymptotics: Reconciling Layer Potentials and Compound Asymptotic Expansions	4
Hyperbolic Systems of Moment Equations Describing Sedimentation in Suspensions of Rod-Like Particles	4
On Optimal Convergence Rates for Discrete Minimizers of the Gross–Pitaevskii Energy in Localized Orthogonal Decomposition Spaces	4
FMM-LU: A Fast Direct Solver for Multiscale Boundary Integral Equations in Three Dimensions	4
A Low-Rank Schwarz Method for Radiative Transfer Equation With Heterogeneous Scattering Coefficient	4
Diffusive Limit of a Two-Dimensional Well-Balanced Scheme for the Free Klein--Kramers Equation	4
Multiscale Elliptic PDE Upscaling and Function Approximation via Subsampled Data	4
Machine Learning Moment Closure Models for the Radiative Transfer Equation II: Enforcing Global Hyperbolicity in Gradient-Based Closures	3
A Kinetic Monte Carlo Approach for Simulating Cascading Transmission Line Failure	3
Upscaling Errors in Heterogeneous Multiscale Methods for the Landau--Lifshitz Equation	3
Multiscale Modeling of Sorption Kinetics	3
Accuracy of Multiscale Reduction for Stochastic Reaction Systems	3
Stress from Long-Range Interactions in Particulate Systems	3

Statistical Learning of Nonlinear Stochastic Differential Equations from Nonstationary Time Series using Variational Clustering	3
Generalized Multiscale Finite Element Method for Highly Heterogeneous Compressible Flow	3
On the Random Batch Method for Second Order Interacting Particle Systems	3
How Do Degenerate Mobilities Determine Singularity Formation in Cahn--Hilliard Equations?	3
Quantized Tensor FEM for Multiscale Problems: Diffusion Problems in Two and Three Dimensions	3
Strain and Defects in Oblique Stripe Growth	3
Variational Asymptotic Preserving Scheme for the Vlasov--Poisson--Fokker--Planck System	3
Edge Modes in Subwavelength Resonators in One Dimension	3
Mathematical Proof of the Mandel--Cryer Effect in Poroelasticity	3
Kinetic Modeling of Multiple Scattering of Acoustic Waves in Randomly Heterogeneous Flows	3
Hadamard--Babich Ansatz for Point-Source Elastic Wave Equations in Variable Media at High Frequencies	3
Numerical Scheme for Kinetic Transport Equation with Internal State	2
Exponentially Convergent Multiscale Methods for 2D High Frequency Heterogeneous Helmholtz Equations	2
Hierarchical Model Reduction Techniques for Flow Modeling in a Parametrized Setting	2
Estimation of the Koopman Generator by Newton's Extrapolation	2
Boundary Effects in Radiative Transfer of Acoustic Waves in a Randomly Fluctuating Half-space	2
Constraint Energy Minimizing Generalized Multiscale Finite Element Method for Convection Diffusion Equation	2
Rigidity Percolation in Disordered 3D Rod Systems	2
Extending the Regime of Linear Response with Synthetic Forcings	2
Uniformly Accurate Nested Picard Iterative Integrators for the Nonlinear Dirac Equation in the Nonrelativistic Regime	2
The Heterogeneous Multiscale Method for Dispersive Maxwell Systems	2
An Elliptic Local Problem with Exponential Decay of the Resonance Error for Numerical Homogenization	2
Wave Packets in the Fractional Nonlinear Schrödinger Equation with a Honeycomb Potential	2
Multiscale Motion and Deformation of Bumps in Stochastic Neural Fields with Dynamic Connectivity	2
Hamiltonian Dysthe Equation for Three-Dimensional Deep-Water Gravity Waves	2
Gradient Estimates for Electric Fields with MultiScale Inclusions in the Quasi-Static Regime	2
Enriched Nonconforming Multiscale Finite Element Method for Stokes Flows in Heterogeneous Media Based on High-order Weighting Functions	2
Asymptotic Analysis of Nonlinear Robin-Type Boundary Value Problems with Small Periodic Structure	2
Simulation and Optimization of Mean First Passage Time Problems in 2-D Using Numerical Embedded Methods and Perturbation Theory	2
A Fast Butterfly-Compressed Hadamard–Babich Integrator for High-Frequency Helmholtz Equations in Inhomogeneous Media with Arbitrary Sources	2
The 3D Narrow Capture Problem for Traps with Semipermeable Interfaces	2
Discrete-Time Inference for Slow-Fast Systems Driven by Fractional Brownian Motion	2
An MsFEM Approach Enriched Using Legendre Polynomials	2
Exponential Convergence of a Generalized FEM for Heterogeneous Reaction-Diffusion Equations	2
Elastic Far-Field Decay from Dislocations in Multilattices	2
GANs and Closures: Micro-Macro Consistency in Multiscale Modeling	2
AMS-Net: Adaptive Multiscale Sparse Neural Network with Interpretable Basis Expansion for Multiphase Flow Problems	1
A Bending-Torsion Theory for Thin and Ultrathin Rods as a $\boldsymbol{\Gamma}$-Limit of Atomistic Models	1
Aggregation Methods for Computing Steady States in Statistical Physics	1
Multiscale Analysis for Dynamic Contact Angle Hysteresis on Rough Surfaces	1
Online Adaptive Algorithm for Constraint Energy Minimizing Generalized Multiscale Discontinuous Galerkin Method	1
Analysis and Simulation of Optimal Control for a Two-Time-Scale Fractional Advection-Diffusion-Reaction Equation with Space-Time-Dependent Order and Coefficients	1
The Local Equilibrium State of a Crystal Surface Jump Process in the Rough Scaling Regime	1
Multiscale Numerical Schemes for the Collisional Vlasov Equation in the Finite Larmor Radius Approximation Regime	1
Crystallinity of the Homogenized Energy Density of Periodic Lattice Systems	1
Heat Generation Using Lorentzian Nanoparticles: Estimation via Time-Domain Techniques	1
Mobility Estimation for Langevin Dynamics Using Control Variates	1
Simulation of Non-Lipschitz Stochastic Differential Equations Driven by $\alpha$-Stable Noise: A Method Based on Deterministic Homogenization	1
A Hierarchy of Network Models Giving Bistability Under Triadic Closure	1
Inverse Random Potential Scattering for Elastic Waves	1
A New Class of Uniformly Stable Time-Domain Foldy–Lax Models for Scattering by Small Particles. Acoustic Sound-Soft Scattering by Circles	1
Semiclassical Propagation Along Curved Domain Walls	1
Effective Heat Transfer Between a Porous Medium and a Fluid Layer: Homogenization and Simulation	1
Upscaling an Extended Heterogeneous Stefan Problem from the Pore-Scale to the Darcy Scale in Permafrost	1
Manifold Learning and Nonlinear Homogenization	1
Mathematical Theory for Electromagnetic Scattering Resonances and Field Enhancement in a Subwavelength Annular Gap	1
Double Dirac Cones in Band Structures of Periodic Schroedinger Operators	1
Homogenization of Boundary Layers in the Boltzmann--Poisson System	1
A Nonlinear Moment Model for Radiative Transfer Equation	1
A Modified Split Bregman Algorithm for Computing Microstructures Through Young Measures	1
Iterated Numerical Homogenization for MultiScale Elliptic Equations with Monotone Nonlinearity	1
High-order Numerical Homogenization for Dissipative Ordinary Differential Equations	1
Quasistatic Evolution with Unstable Forces	1
The Interaction Between Two Close-To-Touching Convex Acoustic Subwavelength Resonators	1
On the Multiscale Landau–Lifshitz–Gilbert Equation: Two-Scale Convergence and Stability Analysis	1
Electronic Observables for Relaxed Bilayer Two-Dimensional Heterostructures in Momentum Space	1
Generalized Multiscale Finite Element Treatment of a Heterogeneous Nonlinear Strain-limiting Elastic Model	1
High-order Contrast Bounds for Piezoelectric Constants of Two-phase Fibrous Composites	1
Quasi-Convergence of an Implementation of Optimal Balance by Backward-Forward Nudging	1
Analysis and Optimization of Certain Parallel Monte Carlo Methods in the Low Temperature Limit	1
Higher Order Phase Averaging for Highly Oscillatory Systems	1
Mathematical Study of a Lagrange-Multiplier Technique for Stiff Transport Problems	1
Boundary Homogenization for Partially Reactive Patches	1
Numerical Upscaling for Wave Equations with Time-Dependent Multiscale Coefficients	1
On the Periodic Homogenization of Elliptic Equations in Nondivergence Form with Large Drifts	1