59 citations · 115 across the 7 of their papers we have counts for
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math.NA2014★ 5 cited
Quantifying Uncertainty in Material Damage from Vibrational Data
Troy Butler, Antti Huhtala, Mika Juntunen
The response of a vibrating beam to a force depends on many physical parameters including those determined by material properties. Damage caused by fatigue or cracks result in loca…
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…