Kuangdai Leng comments

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                                            Kuangdai Leng

FD-based gradient calculation seems incorrect for Burgers (with code to verify)

[source.zip](https://github.com/neuraloperator/physics_informed/files/11372971/source.zip) Please use these three source files to reproduce the benchmark results.

FD-based gradient calculation seems incorrect for Burgers (with code to verify)

[source (1).zip](https://github.com/neuraloperator/physics_informed/files/11391726/source.1.zip) Further I compared $u_x$ by three methods: finite difference, `autograd` and FFT-based. The last one is adopted by your original code. My modified code is attached. Here are...

PDE Loss makes the result worse

Same here. Tested for both Burgers and Darcy.