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Description:: The probability density approach based on the response-excitation theory is developed for stochastic simulations of non-Markovian systems. This approach provides the complete probabilistic configuration of …
Year:: 2015
Contributor:: Cho, Heyrim (creator); Karniadakis, George (Director); Rozovsky, Boris (Reader); Venturi, Daniele (Reader); Sapsis, Themistoklis (Reader); Brown University. Applied Mathematics (sponsor)
Genre:: theses
Subject:: Uncertainty quantification; Numerical PDE
Language:: English
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: This dissertation is composed around the subject of modeling data-driven stochastic complex systems, where there are two challenges: information fusion and uncertainty quantification. In this …
Year:: 2019
Contributor:: Zhang, Dongkun (creator); Karniadakis, George (Advisor); Wang, Hui (Reader); Sapsis, Themistoklis (Reader); Babaee, Hessam (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Machine Learning; Data-Driven Scientific Computing; Uncertainty Quantification
Collection:: Applied Mathematics; Theses and Dissertations

Full Record