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Mathematical field
Multiscale modeling or multiscale mathematics is the field of solving problems that have important features at multiple scales of time and/or space. Important
Multiscale_modeling
Weather forecasting and data assimilation system
The Global Environmental Multiscale Model (GEM), often known as the CMC model in North America, is an integrated forecasting and data assimilation system
Global Environmental Multiscale Model
Global_Environmental_Multiscale_Model
The National Academies report describes the need for using multiscale materials modeling to capture the process-structures-properties-performance of
Integrated computational materials engineering
Integrated_computational_materials_engineering
Academic association dedicated to the use of mathematics in industry
1991 SIAM Journal on Applied Dynamical Systems (SIADS), since 2002 Multiscale Modeling and Simulation (MMS), since 2003 SIAM Journal on Imaging Sciences
Society for Industrial and Applied Mathematics
Society_for_Industrial_and_Applied_Mathematics
Generalized version of classical Green's function
MSGF technique is in modeling of nanomaterials. These materials are very small – of the size of few nanometers. Mathematical modeling of nanomaterials requires
Multiscale_Green's_function
Modeler NEMO 3-D Quantum Dot Lab nextnano.com Materials Design MedeA Materials Square I.A. Solov'yov; A.V. Korol; A.V. Solov'yov (2017). Multiscale Modeling
List of software for nanostructures modeling
List_of_software_for_nanostructures_modeling
Chinese mathematician
has worked on multiscale modeling and the study of rare events. He has also made contributions to homogenization theory, theoretical models of turbulence
Weinan_E
Type of simplified mathematical model
Coarse-grained models are presently often used as components of multiscale modeling protocols in combination with reconstruction tools (from coarse-grained
Coarse-grained_modeling
American applied mathematician
methods, model order reduction, multiscale modeling, computational fluid dynamics of compressible flow, Earth system modeling, and concurrent multiscale coupling
Irina_Tezaur
Scottish mathematical oncologist
to mathematical oncology, particularly in the development of multiscale and hybrid modeling approaches to tumor growth, invasion, and treatment response
Alexander_R._A._Anderson
Computer modelling of a petroleum reservoir
In the oil and gas industry, reservoir modeling involves the construction of a computer model of a petroleum reservoir, for the purposes of improving estimation
Reservoir_modeling
Venezuelan mathematical biologist
in Science". Santiago Schnell; Ramon Grima; Philip Maini (2007). "Multiscale Modeling in Biology". American Scientist. "Dr. Santiago Schnell becomes Dean
Santiago_Schnell
American scientist (born 1962)
author, and educator best known for his contributions to the field of multiscale modeling, pattern formation, and morphogenesis in biological systems. Glazier
James_A._Glazier
Computational model of cells and tissues
intracellular dynamics using CompuCell3D and Bionetsolver: applications to multiscale modelling of cancer cell growth and invasion". PLOS ONE. 7 (3) e33726. Bibcode:2012PLoSO
Cellular_Potts_model
German computer physicist and academic
German-born American computational physicist and academic, working in multiscale modeling and computational co-design. He is currently the group leader of
Christoph_Junghans
Finite-element mesh generator
version of Gmsh is integrated with SwiftComp, a general-purpose multiscale modeling software. The modified version, called Gmsh4SC, is compiled and deployed
Gmsh
forefront of MSDT theory and applications. Multiscale decision theory is related to: Multiscale modeling Decision analysis Cooperative distributed problem
Multiscale_decision-making
Carlo molecular modeling List of software for nanostructures modeling Molecular design software Molecular dynamics Molecular modeling on GPUs Molecule
Comparison of software for molecular mechanics modeling
Comparison_of_software_for_molecular_mechanics_modeling
Ukrainian physicist
whose research interests include spintronics and the dynamics and multiscale modeling of magnetic materials and magnetic nanoparticles. She works in Spain
Oksana_Chubykalo-Fesenko
Concept from evolutionary biology
Hans (2008), "Models of Biological Pattern Formation: From Elementary Steps to the Organization of Embryonic Axes", Multiscale Modeling of Developmental
Turing_pattern
Chinese-Canadian mechanical engineer
University of Alberta, where she holds a tier 1 Canada Research Chair in Multiscale Modeling of Soft Materials and Interfaces. Tang was born in 1980 in Pingjiang
Tian_Tang
Mathematics researcher
developmental biology, stem cells, computational single-cell genomics, multiscale modeling, deep learning, fluid mechanics & materials, and scientific computing
Qing_Nie
Type of statistical model
Mixed-design analysis of variance Multiscale modeling Random effects model Nonlinear mixed-effects model Bayesian hierarchical modeling Restricted randomization
Multilevel_model
Regional numerical weather prediction model run by the U.S. National Weather Service
WRF-NMM with the Non-hydrostatic Multiscale Model on the B grid (NMMB) running within the new NOAA Environmental Modeling System (NEMS) — the first operational
North American Mesoscale Model
North_American_Mesoscale_Model
Italian mathematician
Editor-in-Chief of SIAM Multiscale Modeling and Simulation". The Maxwell Institute. 10 September 2025. Retrieved 12 April 2026. "Multiscale Modeling & Simulation
Lorenzo_Pareschi
polymer Crystallization of polymers Path integrals in polymer science Multiscale modeling M. Kotelyanskii; D. N. Theodorou, eds. (March 15, 2004). "11". Simulation
Modeling_of_polymer_crystals
Austrian-American chemist (1930–2024)
together with Michael Levitt and Arieh Warshel, for "the development of multiscale models for complex chemical systems". Martin Karplus was born on March 15
Martin_Karplus
Swedish mathematician (born 1945)
Texas at Austin. He has been a leading contributor in the areas of multiscale modeling and scientific computing, and a productive educator of applied mathematicians
Björn_Engquist
Scientific activity that produces models
method) will always be more reliable than modeled estimates of outcomes. Within modeling and simulation, a model is a task-driven, purposeful simplification
Scientific_modelling
Approximations that apply at multiple scales
transforms and invariant manifolds provide a sounder support for multiscale modelling (for example, see center manifold and slow manifold). As an example
Multiple-scale_analysis
Scientific conferences about composite materials
conference include, among others, fracture and damage, multiscale modeling, durability, aging, process modeling, simulation, additive manufacturing, bio-sourced
European Conference on Composite Materials
European_Conference_on_Composite_Materials
State of matter
ISBN 978-3-319-44649-3. OCLC 963198053. Steinhauser, M. O. (2022). Computational multiscale modeling of fluids and solids: theory and applications. Cham, Switzerland:
Liquid
American materials scientist and engineer
research is in the area of computational materials science, multiscale modeling, phase-field modeling, and the design of shape-memory ceramics, metallic alloys
Mohsen_Asle_Zaeem
Equation-free modeling is a method for multiscale computation and computer-aided analysis. It is designed for a class of complicated systems in which
Equation-free_modeling
Topics referred to by the same term
Methyl methanesulfonate Moment magnitude scale of earthquake energy Multiscale Modeling and Simulation journal Modern Montessori School, Amman, Jordan Marshall
MMS
Skin peeling
Miller, Claire; Crampin, Edmund; Osborne, James M. (August 2022). "Multiscale modelling of desquamation in the interfollicular epidermis". PLOS Computational
Desquamation
Classes of computational models
technique for multiscale modeling of nanomaterials is based upon the use of multiscale Green's function. In contrast, microscale models can simulate a
Microscale and macroscale models
Microscale_and_macroscale_models
Immunoglobulin-binding protein expressed in group C and G Streptococcal bacteria
2008). "Folding pathway of the b1 domain of protein G explored by multiscale modeling". Biophys J. 94 (3): 726–36. Bibcode:2008BpJ....94..726K. doi:10
Protein_G
American chemical engineer and physicist
matter physicist whose research involves computational simulation, multiscale modeling, and molecular dynamics of interfaces, thin films, colloids, catalysis
Kristen_Fichthorn
Molecular simulation method
Karplus, won the 2013 Nobel Prize in Chemistry for "the development of multiscale models for complex chemical systems". An important advantage of QM/MM methods
QM/MM
Colombian-American scientist
and multiscale modeling of complex biophysical systems. His work with Michael L. Klein was highly influential in the growth of Coarse-grained modeling for
Carlos_F._López
American mechanical engineer and computational scientist
framework known as HiDeNN-AI. His work spans the finite element method, multiscale modeling and simulation, additive and advanced manufacturing, and materials
Wing_Kam_Liu
Global numerical weather prediction system
(GFS), the Canadian Global Environmental Multiscale Model (GEM and GDPS) and the UK Met Office's Unified Model. ECMWF runs the IFS in several configurations
Integrated_Forecasting_System
American materials scientist and engineer
From 2004 to 2005, he was a postdoctoral scholar and director of multiscale modeling and software integration at the California Institute of Technology's
Markus_J._Buehler
Biological process that causes an organism to develop its shape
499–500. ISBN 978-0-19-967814-3. Miura, T (2008). "Modeling Lung Branching Morphogenesis". Multiscale Modeling of Developmental Systems. Current Topics in Developmental
Morphogenesis
Center for Multiscale Modeling of Biological Systems (MMBioS) - Active as of 2023 Virtual Cell Challenge - competition to develop predictive models of single-cell
Cellular_model
Materials informatics Integrated computational materials engineering Multiscale modeling Sebastien Goasguen; Krishna Madhavan; David Wolinsky; Renato Figueiredo;
NanoHUB
Sense of position of one's own body parts
Röhrle O, Yavuz UŞ, Klotz T, Negro F, Heidlauf T (November 2019). "Multiscale modeling of the neuromuscular system: Coupling neurophysiology and skeletal
Proprioception
Martin Karplus (1930–2024) Austrian American "for the development of multiscale models for complex chemical systems" Michael Levitt (b. 1947) South African
2013_Nobel_Prizes
American engineer
research focuses on the mechanics of materials, computational and multiscale modeling, and the failure behavior of crystalline and heterogeneous materials
Mohammed_A._Zikry
Class of turbulent flow
Multiscale turbulence is a class of turbulent flows in which the chaotic motion of the fluid is forced at different length and/or time scales. This is
Multiscale_turbulence
Neural network that learns efficient data encoding in an unsupervised manner
(2005). "A Review of Image Denoising Algorithms, with a New One". Multiscale Modeling & Simulation. 4 (2): 490–530. doi:10.1137/040616024. S2CID 218466166
Autoencoder
Probabilistic problem-solving algorithm
1515/mcma-2016-0102. S2CID 30198383. Baeurle, Stephan A. (2009). "Multiscale modeling of polymer materials using field-theoretic methodologies: A survey
Monte_Carlo_method
Indian aerospace engineer (born 1944)
layer-to-layer orthogonal interlock woven composites under monotonic loading: Multiscale modeling, Journal of Reinforced Plastics and Composites, 36 (17): 1263–1285
N._K._Naik
Measure of local oscillation behavior
solutions of the TV denoising problem and some extensions, SIAM, Multiscale Modeling and Simulation, vol. 6 n. 3, archived from the original on 2011-09-27
Total_variation
Primary organ of the respiratory system
Retrieved 23 February 2016. Miura T (2008). "Modeling Lung Branching Morphogenesis". Multiscale Modeling of Developmental Systems. Current Topics in Developmental
Lung
Cooling methods that expend energy to cool a system or component
microstructure control in wire arc additive manufacturing of IN718: multiscale modeling and experiments". Journal of Materials Research and Technology. 39:
Active_cooling
Type of climate model
transcripts on climate models "Flexible Modeling System (FMS)". Geophysical Fluid Dynamics Laboratory. – GFDL's Flexible Modeling System containing code
General_circulation_model
American materials scientist
science and theoretical physics, including the mechanics of materials, multiscale modeling, and the properties of metal alloys and composites. He is the author
William_Curtin
Supercomputer manufactured by Cray Research
X-MP 1985 brochure Steinhauser, Martin Oliver (2008). Computational Multiscale Modeling of Fluids and Solids: Theory and Applications. Springer. p. 21. ISBN 9783540751168
Cray_X-MP
Ability of bacteria to move independently using metabolic energy
A.; Juckeland, Guido; Biais, Nicolas; Zaburdaev, Vasily (2017). "Multiscale modeling of bacterial colonies: How pili mediate the dynamics of single cells
Bacterial_motility
Interlacing algorithm for raster images
first pass consists of a single pixel), as is usual in scale-free multiscale modeling. In the context that PNG was developed (i.e., for the image sizes
Adam7_algorithm
include scientific computation for complex/multiscale systems modeling; process dynamics, computer modeling, and applied mathematics; spatiotemporal pattern
Yannís_G._Kevrekidis
vast database of materials-related information for use in research, multiscale modeling, simulation implementation, and an array of other activities in support
ICME_cyberinfrastructure
South African-born biophysicist (born 1947)
together with Martin Karplus and Arieh Warshel, for "the development of multiscale models for complex chemical systems". In 2018, Levitt was a founding co-editor
Michael_Levitt_(biophysicist)
Israeli chemist, biochemist and biophysicist (born 1940)
together with Michael Levitt and Martin Karplus for "the development of multiscale models for complex chemical systems". Warshel was born to a Jewish family
Arieh_Warshel
Mathematical model of atmospheric motions
Meteorological Modeling. Academic Press. pp. 48–49. ISBN 978-0-12-554766-6. Pielke, Roger A. (2002). Mesoscale Meteorological Modeling. Academic Press
Atmospheric_model
Prehistoric landslide off Norway
does multiscale modelling and inclusion of realistic palaeobathymetry affect numerical simulation of the Storegga Slide tsunami?". Ocean Modelling. 83:
Storegga_Slide
White blood cell that secretes large volumes of antibodies
Jeroen E. J.; Hoefsloot, Huub; van Kampen, Antoine H. C. (2020). "Multiscale Modeling of Germinal Center Recapitulates the Temporal Transition From Memory
Plasma_cell
US federally funded research and development center
Madden–Julian oscillation; Stephen Schneider. Greg Holland initiated the multiscale modeling project "Predicting the Earth System Across Scales". NCAR is currently
National Center for Atmospheric Research
National_Center_for_Atmospheric_Research
decarbonization products for various industries. He has research interests on Multiscale Modeling, Condensed Matter Theory, Molecular Dynamics. Chaudhuri leads a research
Santanu_Chaudhuri
Crystallographic defect of atoms within gaps in a lattice
1016/0022-3115(78)90261-1. Derlet, P. M.; D. Nguyen-Manh; S. L. Dudarev (2007). "Multiscale modeling of crowdion and vacancy defects in body-centered-cubic transition
Interstitial_defect
thermal protection coatings of aircraft and bolides. He developed multiscale models of thermochemical mass removal of real thermal protection coatings
Grigory_Tirsky
Design method of discrete wavelet transforms
L 2 ( R ) {\displaystyle L^{2}(\mathbb {R} )} . Multigrid method Multiscale modeling Scale space Time–frequency analysis Wavelet Mallat, S.G. "A Wavelet
Multiresolution_analysis
American biophysicist
2021-09-27. Villa Rodriguez, Elizabeth; Schulten, Klaus J (2008). Multiscale Modeling of Biomolecular Complexes (Thesis). University of Illinois at Urbana-Champaign
Elizabeth_Villa
Physical property when materials or objects return to original shape after deformation
Jian; Gan, Yixiang; Hanaor, Dorian AH; Chen, C.Q. (1 May 2019). "Multiscale modeling of the effective elastic properties of fluid-filled porous materials"
Elasticity_(physics)
Modeling the body's responses to drugs
Physiologically based pharmacokinetic (PBPK) modeling is a mathematical modeling technique for predicting the absorption, distribution, metabolism and
Physiologically based pharmacokinetic modelling
Physiologically_based_pharmacokinetic_modelling
Functions for calculating potential energy
Potentials: A Class of Systematically Improvable Interatomic Potentials". Multiscale Modeling & Simulation. 14 (3): 1153–1173. arXiv:1512.06054. doi:10.1137/15M1054183
Interatomic_potential
Numerical method for solving physical or engineering problems
"High-dimensional finite elements for elliptic problems with multiple scales". Multiscale Modeling & Simulation. 3 (1). SIAM: 168–194. doi:10.1137/030601077. hdl:20
Finite_element_method
Dean of the School of Engineering at Liberty University
National Laboratories for fifteen years (1987-2002) in the area of multiscale modeling for design. Horstemeyer became dean of the School of Engineering
Mark_Horstemeyer
German catalysis research institute
Learning (Johannes Margraf) Multiscale Modeling from Electrons to the Reactor (Sebastian Matera) First-principles modeling of solid-liquid interfaces and
Fritz Haber Institute of the Max Planck Society
Fritz_Haber_Institute_of_the_Max_Planck_Society
Multi-state modeling of biomolecules refers to a series of techniques used to represent and compute the behaviour of biological molecules or complexes
Multi-state modeling of biomolecules
Multi-state_modeling_of_biomolecules
Statistical model used in time series analysis
exhibits long memory. Multiscale AR (MAR) is indexed by the nodes of a tree instead of integers. The notation ARMAX(p, q, b) refers to a model with p autoregressive
Autoregressive moving-average model
Autoregressive_moving-average_model
(IBI) used for generating systematically coarse-grained polymer models for multiscale modeling, reverse non-equilibrium molecular dynamics (RNEMD) for the
Florian_Müller-Plathe
Weather prediction computer model
the Canadian Global Environmental Multiscale Model (GEM) it is one of several synoptic scale medium-range models in general use. NOGAPS Portal Archived
Navy Operational Global Atmospheric Prediction System Model
Navy_Operational_Global_Atmospheric_Prediction_System_Model
Greek applied mathematician and chemical engineer
Finite-Volume Schemes for Hydrodynamic Equations with General Free Energy". Multiscale Modeling & Simulation. 18 (1): 502–541. arXiv:1812.00980. doi:10.1137/18M1230050
Serafim_Kalliadasis
Topics referred to by the same term
Environment for Multimedia, graphics software Global Environmental Multiscale Model, a meteorological forecasting system Globally Executable MHP, a DVB
Gem_(disambiguation)
Polish mathematician
Dundee in Scotland. She was also a member of the Cooperation Group "Multiscale Modeling of Tumor Initiation, Growth and Progression" at the Center for Interdisciplinary
Urszula_Alicja_Foryś
Representation learning method
Elad, M. (2008-01-01). "Learning Multiscale Sparse Representations for Image and Video Restoration". Multiscale Modeling & Simulation. 7 (1): 214–241. CiteSeerX 10
Sparse_dictionary_learning
Materials researcher and academic
is focused on computational modeling of advanced composite systems, with his research interests spanning multiscale modeling, computational chemistry, materials
Gregory_Odegard
Citizens of Israel who were awarded the Nobel Prize
discovery of quasicrystals" 2013 Michael Levitt "for the development of multiscale models for complex chemical systems" Arieh Warshel 2021 Joshua Angrist "for
List of Israeli Nobel laureates
List_of_Israeli_Nobel_laureates
Standardized AI performance test
Andrew; Braatz, Richard (2025). "Quasi-steady-state approach for efficient multiscale simulation and optimization of mAb glycosylation in CHO cell culture"
Language_model_benchmark
Quantitative methods used to simulate climate
Advancing Climate Modeling". Archived from the original on 18 October 2012. Retrieved 3 October 2012. Loft, Richard (2020). "Earth System Modeling Must Become
Climate_model
Form of matter
Mingchao; Wu, Jian; Gan, Yixiang; Hanaor, Dorian; Chen, C. Q. (2019). "Multiscale modeling of effective elastic properties of fluid-filled porous materials"
Foam
Computer simulations to discover and understand chemical properties
Young's modulus of the gel. Such nanoscale insights contribute to multiscale modeling frameworks that link atomic-scale properties of cement hydrates to
Molecular_dynamics
Computer program that uses meteorological data to forecast tropical cyclones
sophisticated mathematical modeling software and meteorological data to calculate future weather conditions. Statistical models forecast the evolution of
Tropical cyclone forecast model
Tropical_cyclone_forecast_model
Statistical simulation method
Baeurle, Stephan A.; Usami, Takao; Gusev, Andrei A. (2006). "A new multiscale modeling approach for the prediction of mechanical properties of polymer-based
Kinetic_Monte_Carlo
American mathematician (born 1962)
and biology[citation needed]. Hou was founder of "SIAM Journal on Multiscale Modeling and Simulation", and he served as the editor-in-chief from 2002 to
Thomas_Hou
Chinese-American mechanical engineer
seminal contributions to both the development of novel algorithms for multiscale modeling of interfacial and multiphase flows, from the atomistic and mesoscale
Ying Sun (mechanical engineer)
Ying_Sun_(mechanical_engineer)
Biology software
solving environment for constructing two- and three-dimensional multiscale agent-based models of multicellular biology, including morphogenesis, homeostasis
CompuCell3D
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MULTISCALE MODELING
MULTISCALE MODELING
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MULTISCALE MODELING
MULTISCALE MODELING
MULTISCALE MODELING
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MULTISCALE MODELING
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