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

Glimm, James ; Deng, Yuefan ; Lindquist, W. Brent ; Tangerman, Folkert

Research Foundation, University at Stony Brook, Stony Brook, NY (United States)

关键词: Forecasting;    99 General And Miscellaneous//Mathematics, Computing, And Information Science;    Partial Differential Equations;    Physics;    Shock Waves;   

DOI  :  10.2172/771242
RP-ID  :  NONE
RP-ID  :  FG02-98ER25363
RP-ID  :  771242

美国|英语

来源: UNT Digital Library

【 摘 要 】

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.