Multiscale Modeling & Simulation

Papers
(The TQCC of Multiscale Modeling & Simulation is 3. 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 2020-04-01 to 2024-04-01.)
ArticleCitations
Weak SINDy: Galerkin-Based Data-Driven Model Selection39
Tunable Eigenvector-Based Centralities for Multiplex and Temporal Networks23
Compression, Inversion, and Approximate PCA of Dense Kernel Matrices at Near-Linear Computational Complexity20
Effective Coupling Conditions for Arbitrary Flows in Stokes--Darcy Systems15
Kernel Analog Forecasting: Multiscale Test Problems13
Transition Path Theory for Langevin Dynamics on Manifolds: Optimal Control and Data-Driven Solver11
Improved Uniform Error Bounds on Time-Splitting Methods for the Long-Time Dynamics of the Dirac Equation with Small Potentials10
Exponential Convergence for Multiscale Linear Elliptic PDEs via Adaptive Edge Basis Functions10
Asymptotic Analysis of Target Fluxes in the Three-Dimensional Narrow Capture Problem9
Uniform Error Bounds of an Exponential Wave Integrator for the Long-Time Dynamics of the Nonlinear Klein--Gordon Equation9
Multiscale Invariants of Floquet Topological Insulators8
A Diffuse-Domain Phase-Field Lattice Boltzmann Method for Two-Phase Flows in Complex Geometries8
Optimal Local Approximation Spaces for Parabolic Problems8
Multi-Resolution Localized Orthogonal Decomposition for Helmholtz Problems8
Multiflocks: Emergent Dynamics in Systems with Multiscale Collective Behavior7
Efficiency of Micro-Macro Models for Reactive Two-Mineral Systems7
MultiScale Approach for Two-Dimensional Diffeomorphic Image Registration7
Metropolized Multiscale Forest Recombination for Redistricting7
Efficient Construction of Tensor Ring Representations from Sampling7
Mixed Finite Element Approximation of Periodic Hamilton--Jacobi--Bellman Problems With Application to Numerical Homogenization7
Coupling Particle-Based Reaction-Diffusion Simulations with Reservoirs Mediated by Reaction-Diffusion PDEs7
Multiscale Modeling of Glioma Invasion: From Receptor Binding to Flux-Limited Macroscopic PDEs7
NonReciprocal Wave Propagation in Space-Time Modulated Media6
An Inverse Random Source Problem for Maxwell's Equations6
Homogenization of Two-Phase Flow in Porous Media From Pore to Darcy Scale: A Phase-Field Approach6
A Space-Time Multiscale Method for Parabolic Problems6
Analysis of the Acoustic Waves Reflected by a Cluster of Small Holes in the Time-Domain and the Equivalent Mass Density6
A Hybrid Finite-Volume, Discontinuous Galerkin Discretization for the Radiative Transport Equation5
Approximative Policy Iteration for Exit Time Feedback Control Problems Driven by Stochastic Differential Equations using Tensor Train Format5
On Asymptotic Preserving Schemes for a Class of Stochastic Differential Equations in Averaging and Diffusion Approximation Regimes5
Adaptive Solution of Initial Value Problems by a Dynamical Galerkin Scheme5
Sharp Error Estimates on a Stochastic Structure-Preserving Scheme in Computing Effective Diffusivity of 3D Chaotic Flows5
On Continuum Approximations of Discrete-State Markov Processes of Large System Size5
On Near-cloaking for Linear Elasticity5
An Asymptotic Representation Formula for Scattering by Thin Tubular Structures and an Application in Inverse Scattering5
Computational Modeling for High-Fidelity Coarsening of Shallow Water Equations Based on Subgrid Data4
A Semi-Lagrangian Computation of Front Speeds of G-equation in ABC and Kolmogorov Flows with Estimation via Ballistic Orbits4
Approximate Optimal Controls via Instanton Expansion for Low Temperature Free Energy Computation4
Diffusive Limit of a Two-Dimensional Well-Balanced Scheme for the Free Klein--Kramers Equation4
Asymptotic Characterization of Localized Defect Modes: Su–Schrieffer–Heeger and Related Models4
Derivation and Closure of Baer and Nunziato Type Multiphase Models by Averaging a Simple Stochastic Model4
Optimal Convergence Rates for Elliptic Homogenization Problems in Nondivergence-Form: Analysis and Numerical Illustrations4
A Multiscale Method for Heterogeneous Bulk-Surface Coupling4
Optimal Reaction Coordinates: Variational Characterization and Sparse Computation4
Learning Markovian Homogenized Models in Viscoelasticity4
Multiscale Global Sensitivity Analysis for Stochastic Chemical Systems4
Trapping of Planar Brownian Motion: Full First Passage Time Distributions by Kinetic Monte Carlo, Asymptotic, and Boundary Integral Methods4
Analysis of a Sinclair-Type Domain Decomposition Solver for Atomistic/Continuum Coupling3
High Order Topological Asymptotics: Reconciling Layer Potentials and Compound Asymptotic Expansions3
Enriched Nonconforming Multiscale Finite Element Method for Stokes Flows in Heterogeneous Media Based on High-order Weighting Functions3
The Narrow Capture Problem with Partially Absorbing Targets and Stochastic Resetting3
Constraint Energy Minimizing Generalized Multiscale Finite Element Method for Inhomogeneous Boundary Value Problems with High Contrast Coefficients3
Statistical Learning of Nonlinear Stochastic Differential Equations from Nonstationary Time Series using Variational Clustering3
Wave Propagation in Periodic and Random Time-Dependent Media3
QM/MM Methods for Crystalline Defects. Part 3: Machine-Learned MM Models3
Accuracy of Multiscale Reduction for Stochastic Reaction Systems3
Multiscale Control of Generic Second Order Traffic Models by Driver-Assist Vehicles3
A Low-Rank Schwarz Method for Radiative Transfer Equation With Heterogeneous Scattering Coefficient3
Singular Limit for Reactive Diffusive Transport Through an Array of Thin Channels in case of Critical Diffusivity3
A Kinetic Monte Carlo Approach for Simulating Cascading Transmission Line Failure3
Multilevel Fine-Tuning: Closing Generalization Gaps in Approximation of Solution Maps under a Limited Budget for Training Data3
How Do Degenerate Mobilities Determine Singularity Formation in Cahn--Hilliard Equations?3
Kinetic Modeling of Multiple Scattering of Acoustic Waves in Randomly Heterogeneous Flows3
Wavelet-based Edge Multiscale Finite Element Method for Helmholtz problems in perforated domains3
Stress from Long-Range Interactions in Particulate Systems3
High Contrast Elliptic Operators in Honeycomb Structures3
A Framework for a Generalization Analysis of Machine-Learned Interatomic Potentials3
Multiscale Elliptic PDE Upscaling and Function Approximation via Subsampled Data3
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