Multiscale Modeling & Simulation

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 2020-05-01 to 2024-05-01.)
ArticleCitations
Weak SINDy: Galerkin-Based Data-Driven Model Selection40
Tunable Eigenvector-Based Centralities for Multiplex and Temporal Networks24
Compression, Inversion, and Approximate PCA of Dense Kernel Matrices at Near-Linear Computational Complexity22
Effective Coupling Conditions for Arbitrary Flows in Stokes--Darcy Systems16
Kernel Analog Forecasting: Multiscale Test Problems14
Improved Uniform Error Bounds on Time-Splitting Methods for the Long-Time Dynamics of the Dirac Equation with Small Potentials11
A Diffuse-Domain Phase-Field Lattice Boltzmann Method for Two-Phase Flows in Complex Geometries11
Transition Path Theory for Langevin Dynamics on Manifolds: Optimal Control and Data-Driven Solver10
Exponential Convergence for Multiscale Linear Elliptic PDEs via Adaptive Edge Basis Functions10
Uniform Error Bounds of an Exponential Wave Integrator for the Long-Time Dynamics of the Nonlinear Klein--Gordon Equation10
Asymptotic Analysis of Target Fluxes in the Three-Dimensional Narrow Capture Problem9
Optimal Local Approximation Spaces for Parabolic Problems9
Multiscale Invariants of Floquet Topological Insulators8
Multiscale Modeling of Glioma Invasion: From Receptor Binding to Flux-Limited Macroscopic PDEs8
Multi-Resolution Localized Orthogonal Decomposition for Helmholtz Problems8
Multiflocks: Emergent Dynamics in Systems with Multiscale Collective Behavior8
Coupling Particle-Based Reaction-Diffusion Simulations with Reservoirs Mediated by Reaction-Diffusion PDEs7
NonReciprocal Wave Propagation in Space-Time Modulated Media7
Mixed Finite Element Approximation of Periodic Hamilton--Jacobi--Bellman Problems With Application to Numerical Homogenization7
Metropolized Multiscale Forest Recombination for Redistricting7
Homogenization of Two-Phase Flow in Porous Media From Pore to Darcy Scale: A Phase-Field Approach7
MultiScale Approach for Two-Dimensional Diffeomorphic Image Registration7
Efficiency of Micro-Macro Models for Reactive Two-Mineral Systems7
Efficient Construction of Tensor Ring Representations from Sampling7
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
An Inverse Random Source Problem for Maxwell's Equations6
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
An Asymptotic Representation Formula for Scattering by Thin Tubular Structures and an Application in Inverse Scattering5
On Near-cloaking for Linear Elasticity5
Multiscale Global Sensitivity Analysis for Stochastic Chemical Systems5
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
Wave Propagation in Periodic and Random Time-Dependent Media4
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
Optimal Convergence Rates for Elliptic Homogenization Problems in Nondivergence-Form: Analysis and Numerical Illustrations4
A Multiscale Method for Heterogeneous Bulk-Surface Coupling4
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
Learning Markovian Homogenized Models in Viscoelasticity4
A Neural Network Approach for Homogenization of Multiscale Problems4
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 Coupling4
Optimal Reaction Coordinates: Variational Characterization and Sparse Computation4
Constraint Energy Minimizing Generalized Multiscale Finite Element Method for Inhomogeneous Boundary Value Problems with High Contrast Coefficients4
Diffusive Limit of a Two-Dimensional Well-Balanced Scheme for the Free Klein--Kramers Equation4
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