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Title: Final report: Stochastic partial differential equations applied to the predictability of complex multiscale phenomena

Abstract

The objectives of this research remain as stated in our proposal of November 1997. We report on progress in the quantification of uncertainty and prediction, with applications to flow in porous media and to shock wave physics. The main strength of this work is an innovative theory for the quantification of uncertainty based on models for solution errors in numerical simulations. We also emphasize a deep connection to application communities, including those in DOE Laboratories.

Authors:
; ; ;
Publication Date:
Research Org.:
Research Foundation, University at Stony Brook, Stony Brook, NY (US)
Sponsoring Org.:
US Department of Energy (US)
OSTI Identifier:
771242
DOE Contract Number:  
FG02-98ER25363
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: 30 Aug 2001; PBD: 30 Aug 2001
Country of Publication:
United States
Language:
English
Subject:
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; COMMUNITIES; FORECASTING; PARTIAL DIFFERENTIAL EQUATIONS; PHYSICS; SHOCK WAVES

Citation Formats

Glimm, James, Deng, Yuefan, Lindquist, W Brent, and Tangerman, Folkert. Final report: Stochastic partial differential equations applied to the predictability of complex multiscale phenomena. United States: N. p., 2001. Web. doi:10.2172/771242.
Glimm, James, Deng, Yuefan, Lindquist, W Brent, & Tangerman, Folkert. Final report: Stochastic partial differential equations applied to the predictability of complex multiscale phenomena. United States. https://doi.org/10.2172/771242
Glimm, James, Deng, Yuefan, Lindquist, W Brent, and Tangerman, Folkert. 2001. "Final report: Stochastic partial differential equations applied to the predictability of complex multiscale phenomena". United States. https://doi.org/10.2172/771242. https://www.osti.gov/servlets/purl/771242.
@article{osti_771242,
title = {Final report: Stochastic partial differential equations applied to the predictability of complex multiscale phenomena},
author = {Glimm, James and Deng, Yuefan and Lindquist, W Brent and Tangerman, Folkert},
abstractNote = {The objectives of this research remain as stated in our proposal of November 1997. We report on progress in the quantification of uncertainty and prediction, with applications to flow in porous media and to shock wave physics. The main strength of this work is an innovative theory for the quantification of uncertainty based on models for solution errors in numerical simulations. We also emphasize a deep connection to application communities, including those in DOE Laboratories.},
doi = {10.2172/771242},
url = {https://www.osti.gov/biblio/771242}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Thu Aug 30 00:00:00 EDT 2001},
month = {Thu Aug 30 00:00:00 EDT 2001}
}