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math.NA2021
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…
math.NA2021
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…