I got a notification that you mentioned one of my works in your blog post. It is a nice blog you wrote on PINNs. I published a paper recently in JCP and gave several talks on the intricacies of our proposed method. I have explained several things like the inception of PINNs which is actually 1994 not 1998. I also discuss how the formulation needs to change to produce physically consistent and meaningful predictions. In other words, improve trustworthiness of NNs for physics problems.

Link to the paper: https://doi.org/10.1016/j.jcp.2022.111301
Link to github: https://shamsbasir.github.io/PECANNs/


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