59 citations · 157 across the 16 of their papers we have counts for
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math.NA2014★ 6 cited
Solving Stochastic Inverse Problems using Sigma-Algebras on Contour Maps
Troy Butler, Don Estep, Simon Tavener +3
We compute approximate solutions to inverse problems for determining parameters in differential equation models with stochastic data on output quantities. The formulation of the pr…
math.NA2014★ 16 cited
Enhancing adaptive sparse grid approximations and improving refinement strategies using adjoint-based a posteriori error estimates
John D. Jakeman, Timothy Wildey
In this paper we present an algorithm for adaptive sparse grid approximations of quantities of interest computed from discretized partial differential equations. We use adjoint-bas…