Multiscale Modeling

Multiscale modeling is a computational methodology that couples mathematical models at different spatial and/or temporal scales to describe systems exhibiting phenomena across multiple orders of magnitude.

11.4K

Publications

718.9K

Citations

26.3K

Authors

4.7K

Institutions

Publications per year

2017–2026

3.3K

Parents

Computational Engineering

Children

Atomistic ModelingConcurrent Multiscale MethodsHierarchical ModelingHierarchical Multiscale MethodsMolecular DynamicsMultiphysics CouplingMultiscale Finite Element MethodsMultiscale Fluid DynamicsMultiscale Heat TransferMultiscale Materials Modeling

Publications

11.4K

ENSEMBLE EMPIRICAL MODE DECOMPOSITION: A NOISE-ASSISTED DATA ANALYSIS METHOD

Zhaohua Wu, Norden E. Huang · Advances in Adaptive Data Analysis · 2008 · 8.6K citations

Computing, Data Science, Biomedical Signal Processing +15

A dynamic subgrid-scale eddy viscosity model

Massimo Germano, Ugo Piomelli, Parviz Moin et al. · Physics of Fluids A Fluid Dynamics · 1991 · 7.1K citations

Natural Sciences, Computational Engineering, Computational Fluid Dynamics +16

Nonmetric Multidimensional Scaling: A Numerical Method

Joseph B. Kruskal · Psychometrika · 1964 · 4.9K citations

Computing, Computational Engineering, Multiscale Modeling +6

The emerging field of signal processing on graphs: Extending high-dimensional data analysis to networks and other irregular domains

David I Shuman, Sunil K. Narang, Pascal Frossard et al. · IEEE Signal Processing Magazine · 2013 · 4.4K citations · Full text

Computing, Computer Science, Mathematics +15

A Multilinear Singular Value Decomposition

Lieven De Lathauwer, Bart De Moor, Joos Vandewalle · SIAM Journal on Matrix Analysis and Applications · 2000 · 4.2K citations · Full text

Computing, Computational Engineering, Complex Systems +16

1–5 of 11.4K

Authors

26.3K

JF
Jacob Fish
Rensselaer Polytechnic Institute, United States
48 publications · 2.9K citations
32
h-index
WK
Wing Kam Liu
Northwestern University, United States
42 publications · 4.2K citations
32
h-index
AS
Alan S. Willsky
Massachusetts Institute of Technology, United States
37 publications · 2.4K citations
27
h-index
YE
Yalchin Efendiev
Texas A&M University, United States
47 publications · 2.2K citations
26
h-index
JL
Jinghai Li
Institute of Process Engineering, China
25 publications · 2.4K citations
23
h-index

1–5 of 26.3K

Institutions

4.7K

1–8 of 4.7K

Venues

Computer Methods in Applied Mechanics and Engineering
249 publications · 18K citations
70
h-index
Journal of Computational Physics
211 publications · 11.5K citations
57
h-index
Physical Review Letters
PRL · 116 publications · 13.7K citations
49
h-index
Physical Review E
PRE · 141 publications · 8.2K citations
47
h-index
Water Resources Research
100 publications · 8.5K citations
46
h-index

1–5

See also Multiscale Modeling
Core Methods	Dissipative Particle Dynamics Discrete Element Modeling Coarse-graining Hierarchical Multiscale Modeling Concurrent Multiscale Modeling Micro-macro Coupling Homogenization Density Functional Theory
Applications	Materials Science Chemical Engineering Atmospheric Science Biology Soil Compaction Liquid Crystals Crystal Plasticity Nuclear Fusion Solid-state Storage
Variants	Hierarchical Multiscale Modeling Adaptive Resolution Simulation Concurrent Multiscale Modeling Hybrid Multiscale Modeling
Evaluation	Direct Numerical Simulation Cross-validation
Limitations	Parameter Estimation Computational Complexity Model Transferability Reproducibility Studies Stochasticity Overfitting Data Bias