87 citations · 196 across the 20 of their papers we have counts for
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stat.ME2017★ 87 cited
Bayesian Probabilistic Numerical Methods
Jon Cockayne, Chris Oates, Tim Sullivan +1
The emergent field of probabilistic numerics has thus far lacked clear statistical principals. This paper establishes Bayesian probabilistic numerical methods as those which can be…
stat.ME2017★ 65 cited
Probabilistic Numerical Methods for PDE-constrained Bayesian Inverse Problems
Jon Cockayne, Chris Oates, Tim Sullivan +1
This paper develops meshless methods for probabilistically describing discretisation error in the numerical solution of partial differential equations. This construction enables th…