OOIR: Observatory of International Research

Papers

(The TQCC of Multiscale Modeling & Simulation is 4. 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
Multi-Resolution Localized Orthogonal Decomposition for Helmholtz Problems	10
Exponential Convergence for Multiscale Linear Elliptic PDEs via Adaptive Edge Basis Functions	10
Asymptotic Analysis of Target Fluxes in the Three-Dimensional Narrow Capture Problem	10
Multiscale Invariants of Floquet Topological Insulators	9
MultiScale Approach for Two-Dimensional Diffeomorphic Image Registration	9
Optimal Local Approximation Spaces for Parabolic Problems	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
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
A Semi-Lagrangian Computation of Front Speeds of G-equation in ABC and Kolmogorov Flows with Estimation via Ballistic Orbits	5
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
Wave Propagation in Periodic and Random Time-Dependent Media	4