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The Navier-Stokes-alpha equation via forward-backward stochastic differential systems 期刊论文
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2018, 卷号: 90, 期号: 1, 页码: 1-28
Authors:  Liu, Guoping
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Navier-Stokes-alpha equation  vorticity equation  forward-backward stochastic differential equations  Feynman-Kac formula  
Toward an automated parallel computing environment for geosciences 期刊论文
PHYSICS OF THE EARTH AND PLANETARY INTERIORS, 2007, 卷号: 163, 期号: 1-4, 页码: 2-22
Authors:  Zhang, Huai;  Liu, Mian;  Shi, Yaolin;  Yuen, David A.;  Yana, Zhenzhen;  Liang, Guoping
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parallel computing  finite element method  geodynamics  cyber-infrastructure  GEON