Finishing up the showcase

[ChrisRackauckas]

• [ ] DataDrivenDiffEq section is not working in the LV example @AlCap23
• [x] Automated Efficient Solution of Nonlinear Partial Differential Equations @xtalax adapting https://docs.sciml.ai/MethodOfLines/dev/tutorials/brusselator/#Using-the-Brusselator-PDE-as-an-example
• [x] Massively Parallel ODE Solving on GPUs @utkarsh530 we should establish a canonical example for demonstration, and put it in the showcase
• [x] GPU-accelerated physics-informed neural network solving of a PDE
• [x] Symbolic analysis

[ChrisRackauckas]

@staticfloat @maleadt I'll need help getting the doc builds for this library setup on GPU.

[maleadt]

If you send me a SSH key suited for Documenter, I'll encrypt it. For the rest, you can use the set-up as done in CUDA.jl. The only thing special is the secrets management.