6 citations · 11 across the 9 of their papers we have counts for
9 papers
Error estimation for the time to a threshold value in evolutionary partial differential equations
Jehanzeb Chaudhry, Don Estep, Trevor Giannini +2
We develop an \textit{a posteriori} error analysis for a numerical estimate of the time at which a functional of the solution to a partial differential equation (PDE) first achieve…
A posteriori error analysis for a space-time parallel discretization of parabolic partial differential equations
Jehanzeb Chaudhry, Donald Estep, Simon Tavener
We construct a space-time parallel method for solving parabolic partial differential equations by coupling the Parareal algorithm in time with overlapping domain decomposition in s…
Learning Quantities of Interest from Dynamical Systems for Observation-Consistent Inversion
Steven Mattis, Kyle Robert Steffen, Troy Butler +2
Dynamical systems arise in a wide variety of mathematical models from science and engineering. A common challenge is to quantify uncertainties on model inputs (parameters) that cor…
Error estimation and uncertainty quantification for first time to a threshold value
Jehanzeb H. Chaudhry, Donald Estep, Zachary Stevens +1
Classical a posteriori error analysis for differential equations quantifies the error in a Quantity of Interest (QoI) which is represented as a bounded linear functional of the sol…
A posteriori error analysis for Schwarz overlapping domain decomposition methods
Jehanzeb Chaudhry, Don Estep, Simon Tavener
Domain decomposition methods are widely used for the numerical solution of partial differential equations on high performance computers. We develop an adjoint-based a posteriori er…
Efficient Distribution Estimation and Uncertainty Quantification for Elliptic Problems on Domains with Stochastic Boundaries
Jehanzeb H Chaudhry, Nathanial Burch, Donald Estep
We study the problem of uncertainty quantification for the numerical solution of elliptic partial differential equation boundary value problems posed on domains with stochastically…