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Department of Mathematics,
University of California San Diego

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Advancement to Candidacy

Shi (Fox) Cheng

UCSD

Stochastic Nonlinear Diffusion Reaction Elliptic Boundary Value Problem

Abstract:

The main well developed numerical methods for Stochastic PDEs are Stochastic Galerkin method and Stochastic Collocation method. The error estimators of linear Poisson problem from those two methods corresponding to numerical solutions, mean and second moment of numerical solution are analyzed properly already. However, the analysis of other types of linear and nonlinear models are still open. My talk will consider a stochastic nonlinear Diffusion Reaction model, and analyze well-posedness of its weak form in a new extended group of Banach spaces, additionally the discretization of weak solution will be discussed.

June 14, 2012

10:00 AM

AP&M 2402

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