brown univ providence ri div of applied mathematics, 1998
This grant was, used by the Center for Fluid Mechanics, Turbulence and Computation of the Division of Applied Mathematics of Brown University for the...
brown univ providence ri div of applied mathematics, 1997
This report describes development of a new hierarchical spectral basis appropriate for hp-finite element formulations on unstructured grids consisting of...
brown univ providence ri div of applied mathematics, 2005
We formulate a Multi-Element generalized Polynomial Chaos (ME-gPC) method to deal with long-term integration and discontinuities in stochastic diffierential...
brown univ providence ri div of applied mathematics, 2005
In this paper we focus on the long-term behavior of generalized polynomial chaos (gPC) and multi-element generalized polynomial chaos (ME-gPC) for partial...
brown univ providence ri div of applied mathematics, 2003
We present a new method for solving stochastic differential equations based on Galerking projections and extensions of Wiener's polynomial chaos. Specifically,...
brown univ providence ri div of applied mathematics, 2002
We present a generalized polynomial chaos algorithms for the solution of stochastic elliptic partial differential equations subject to uncertain inputs. In...
brown univ providence ri div of applied mathematics, 2002
P-type refinement leads to exponential decay of numerical errors for sufficiently smooth solutions and has been used effectively in turbulence and structural...
technicla univ of istanbul (turkey) dept of mechanical engineering, 2005
Data recovery and reconstruction methods for unsteady flow fields with spatio-temporal missing data are studied based on proper orthogonal decomposition (POD)...
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