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Title: Modeling and Simulation of High Dimensional Stochastic Multiscale PDE Systems at the Exascale

Abstract

The thrust of the proposal was to exploit modern data-mining tools in a way that will create a systematic, computer-assisted approach to the representation of random media -- and also to the representation of the solutions of an array of important physicochemical processes that take place in/on such media. A parsimonious representation/parametrization of the random media links directly (via uncertainty quantification tools) to good sampling of the distribution of random media realizations. It also links directly to modern multiscale computational algorithms (like the equation-free approach that has been developed in our group) and plays a crucial role in accelerating the scientific computation of solutions of nonlinear PDE models (deterministic or stochastic) in such media – both solutions in particular realizations of the random media, and estimation of the statistics of the solutions over multiple realizations (e.g. expectations).

Authors:
 [1]
  1. Princeton Univ., NJ (United States)
Publication Date:
Research Org.:
Princeton Univ., NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)
OSTI Identifier:
1347551
Report Number(s):
DOE-PRINCETON-2601
DOE Contract Number:  
SC0005176
Resource Type:
Technical Report
Resource Relation:
Related Information: ITEM A: Kevrekidis_ER2602_DOE_Final_Report.pdf
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; heterogeneity; uncertainty; complex systems; microscopic dynamics; scientific computation; network dynamics; data mining

Citation Formats

Kevrekidis, Ioannis. Modeling and Simulation of High Dimensional Stochastic Multiscale PDE Systems at the Exascale. United States: N. p., 2017. Web. doi:10.2172/1347551.
Kevrekidis, Ioannis. Modeling and Simulation of High Dimensional Stochastic Multiscale PDE Systems at the Exascale. United States. doi:10.2172/1347551.
Kevrekidis, Ioannis. Wed . "Modeling and Simulation of High Dimensional Stochastic Multiscale PDE Systems at the Exascale". United States. doi:10.2172/1347551. https://www.osti.gov/servlets/purl/1347551.
@article{osti_1347551,
title = {Modeling and Simulation of High Dimensional Stochastic Multiscale PDE Systems at the Exascale},
author = {Kevrekidis, Ioannis},
abstractNote = {The thrust of the proposal was to exploit modern data-mining tools in a way that will create a systematic, computer-assisted approach to the representation of random media -- and also to the representation of the solutions of an array of important physicochemical processes that take place in/on such media. A parsimonious representation/parametrization of the random media links directly (via uncertainty quantification tools) to good sampling of the distribution of random media realizations. It also links directly to modern multiscale computational algorithms (like the equation-free approach that has been developed in our group) and plays a crucial role in accelerating the scientific computation of solutions of nonlinear PDE models (deterministic or stochastic) in such media – both solutions in particular realizations of the random media, and estimation of the statistics of the solutions over multiple realizations (e.g. expectations).},
doi = {10.2172/1347551},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Wed Mar 22 00:00:00 EDT 2017},
month = {Wed Mar 22 00:00:00 EDT 2017}
}

Technical Report:

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