This note is a discussion of the article “Bayesian Solution Uncertainty Quantification for Differential Equations” by Chkrebtii, Campbell, Calderhead, and Girolami. The authors propose stochastic models for differential equation discretizations. While appreciating the main concepts, we point out some possible extensions and modifications.
"Comment on Article by Chkrebtii, Campbell, Calderhead, and Girolami." Bayesian Anal. 11 (4) 1279 - 1284, December 2016. https://doi.org/10.1214/16-BA1038