PDE_NeuralNet_Collection

Backup Repository in case colab links go down.

ipynb files backup for Colab environment. If links below goes dead you can find backup for ipynb files on this github. Last updated on July 2022

1. Go to the Colab link below. If you need to know more about the source, click the source below. You might need to 'open in colab' in google drive.

2. If Colab link is down, you can find ipynb files from this repository that you can reupload into your colab environment. Select "GPU" accelerator.

3. Colab files might not work in the future because a) Original author's github is down b) Google updated their colab environment and its respective software such as tensorflow. In that case, please select different ipynb files to execute. Unfortunately it is difficult to provide after support for programs not authored by the maintainer of this Github.

1.PINN Solver (Test complete) https://colab.research.google.com/github/janblechschmidt/PDEsByNNs/blob/main/PINN_Solver.ipynb https://github.com/maziarraissi/PINNs

2.ODE-GAN (Test complete) https://colab.research.google.com/github/deepmind/deepmind_research/blob/master/ode_gan/odegan_mog16.ipynb https://www.deepmind.com/open-source/ode-gan

3. Heat equation (Test complete) https://colab.research.google.com/github/jbscoggi/teaching/blob/master/ML4PDE/tf2_heat.ipynb https://github.com/jbscoggi/teaching/blob/master/ML4PDE/README.md

4. [Requires Colab Pro for 2d and 2d time]_Fourier_neural_operator.-(Test complete) https://colab.research.google.com/drive/1HxyaH-IGRiJysM7xfxjeRGXvo8Rrxm9d?usp=sharing https://github.com/zongyi-li/fourier_neural_operator

5. Neural Ordinary Differential Equations (Test complete) https://colab.research.google.com/drive/16VgZ4SA7zfoMlMyOYYmNGgqPPhwmV_wA?usp=sharing http://implicit-layers-tutorial.org/neural_odes/

6. NNPDE (Test Complete) https://colab.research.google.com/drive/1V4Iwoorl0eU-pvVz05M3gwLj3EYt0XW_?usp=sharing https://github.com/kailaix/nnpde

7. Feynman_Kac_Solver (Test complete) https://colab.research.google.com/github/janblechschmidt/PDEsByNNs/blob/main/Feynman_Kac_Solver.ipynb https://onlinelibrary.wiley.com/doi/full/10.1002/gamm.202100006

8. DeepBSDE Solver (Test complete) https://colab.research.google.com/github/janblechschmidt/PDEsByNNs/blob/main/DeepBSDE_Solver.ipynb https://onlinelibrary.wiley.com/doi/full/10.1002/gamm.202100007

9. SciML - Burgers (Test complete) https://colab.research.google.com/drive/1dP7UusjRFbP4On_96FRVUdmHUIFYdCm_?usp=sharing https://sciml.tamids.tamu.edu/scientific-machine-learning-spr-2022/

10. SciML - Heat (Test complete) https://colab.research.google.com/drive/1I-gc7ViS3l0Ej7QdPhW1_P8-qM-25h1i https://sciml.tamids.tamu.edu/scientific-machine-learning-spr-2022/

11. SciML - Elliptic (Test complete) https://colab.research.google.com/drive/1WiStqE_13V-Y00jgcN_PQO2C_wYcjhTM https://sciml.tamids.tamu.edu/scientific-machine-learning-spr-2022/

12. SciML - Burgers_inverse (Test complete) https://colab.research.google.com/drive/1yp81xfezY2Mlr3IXstfl1qHgwsAxpXME?usp=sharing https://sciml.tamids.tamu.edu/scientific-machine-learning-spr-2022/

13. Physics-based loss and machine-learning approach in application to incompressible viscous fluids flow modeling - (Capilary) (Test complete) https://drive.google.com/file/d/1OAIe08NVuWz-IRE5xObZwPTn-7y2noip/view?usp=sharing https://github.com/Mechanics-Mechatronics-and-Robotics/Physics-based-loss-and-machine-learning-approach-in-application-to-viscous-fluids-flow-modeling

14. Physics-based loss and machine-learning approach in application to incompressible viscous fluids flow modeling - (Parallel plates) (Test complete) https://drive.google.com/file/d/1JtHKyDWvUQ4h-AT7JemdBYnQYZS_6fu3/view?usp=sharing https://github.com/Mechanics-Mechatronics-and-Robotics/Physics-based-loss-and-machine-learning-approach-in-application-to-viscous-fluids-flow-modeling

15. [Need TF v1 support from google MIGHT NOT WORK IN FUTURE] Deep Galerkin Method (DGM)_AdamOptimizer (Test complete) https://drive.google.com/file/d/112yPajE0KaCOrS8qsaL38_PyX2QXP3xs/view?usp=sharing https://github.com/guodongsanjianke/Neural-Network-for-solving-PDE

16. Machine learning for PDEs (Test complete) https://drive.google.com/file/d/1o434DkI7DlMG2cNX49rwHFkNkh8K-x14/view?usp=sharing https://github.com/amulyavarshney/Maching-Learning-for-PDEs

17. Deep PDE Learner(PINN) (Test complete) https://colab.research.google.com/drive/1vjsfLdpDqvPRWirzkMR9inXOO3GPhSLS https://github.com/hinofafa/DeepPDELearner

18. Deep PDE Learner(Feynman Kac) (Test complete) https://drive.google.com/file/d/1CSl5I86PjdwAe5zINKqP4RT7VUWnRZ_s/view?usp=sharing https://github.com/hinofafa/DeepPDELearner

19. Deep PDE Learner(Deep BSDE) (Test complete) https://drive.google.com/file/d/1sWQ5_i4AdRra-HHQ0X9wAli8vnxs81nI/view?usp=sharing https://github.com/hinofafa/DeepPDELearner

20. TF - pinn (Test complete) https://drive.google.com/file/d/1ddxiuDoGJa5id93zUmsgeudZFLdPQy0d/view?usp=sharing https://github.com/kochlisGit/Physics-Informed-Neural-Network-PINN-

21. TF - pinn pde (Test complete) https://drive.google.com/file/d/1nd0et0MlLTWzKsoadqvPLrKrGPLOt14l/view?usp=sharing https://github.com/kochlisGit/Physics-Informed-Neural-Network-PINN-

22. TF - pinn higher order (Test complete) https://drive.google.com/file/d/1E0W4j0RpGS5qaW5X2C05zZHN0cp3qjBd/view?usp=sharing https://github.com/kochlisGit/Physics-Informed-Neural-Network-PINN-

23. NNs for differential equations - 1st order and 2nd order ODEs (Test complete) https://drive.google.com/file/d/1uZmhMjk9DZ2uDvkMU3k2CRzPAm0g9SA8/view?usp=sharing https://github.com/shankal17/NNs-for-Differential-Equations

24. DNNsolPDE- ChorinVortex (Test complete) https://drive.google.com/file/d/1DJO4vULBzrqT6jK1zFOAQ6uZLmAuSrC4/view?usp=sharing https://github.com/duypham01/DNNSolPDEs

25. DNNSolPDE- SteadyNavierStokesoverfit (Test complete) https://drive.google.com/file/d/1riINu16HcHW9oh5XvRjYvTW14UfhhzS5/view?usp=sharing https://github.com/duypham01/DNNSolPDEs

26. DNNSolPDE - SteadyNavierStokesnonoverfit (Test complete) https://drive.google.com/file/d/1JL1pKv8UPaDPNXIDD03w0UlJ2shJM3E3/view?usp=sharing https://github.com/duypham01/DNNSolPDEs

27. neural-pde (Test complete) https://drive.google.com/file/d/1vXHPgyxF2Mw_MiZiszIWHu8I4gzGL1NC/view?usp=sharing https://github.com/aditya-jaishankar/pde-nn

28. Schrodingers equation 1d (Test complete) https://drive.google.com/file/d/1amzg8oCu8GsfpWTuOhVsNhyt_okR5Low/view?usp=sharing https://github.com/AlexVonEinzbern/Schrodingers-Equation-Solution-by-Neural-Network-NN-

29. Deep parametric PDEE (Test complete) https://colab.research.google.com/github/LWunderlich/DeepPDE/blob/main/TwoAssetsExample/DeepParametricPDEExample.ipynb https://github.com/LWunderlich/DeepPDE

30. Neural ODEs (Test complete) https://drive.google.com/file/d/1t80PdcTEYKoxHR_9sr4aK0lvUPKQODHT/view?usp=sharing https://nbviewer.org/github/msurtsukov/neural-ode/blob/master/Neural%20ODEs.ipynb

31. SciANN- Burgers equation (test complete) https://drive.google.com/file/d/134wLBK9eY1AoKQT0gHABfO7I71tizg3A/view?usp=sharing https://github.com/sciann/sciann-applications

32. SciANN - Elasticity equation Forward (test complete) https://drive.google.com/file/d/1pRX5C24VGqQ3mTvZH_dALuvVc1KrHHIe/view?usp=sharing https://github.com/sciann/sciann-applications

33. SciANN - Elasticity equation inverse (test complete) https://drive.google.com/file/d/1utHnV7cEROkvotaCsb5vg6er4epSaOSP/view?usp=sharing https://github.com/sciann/sciann-applications

34. SciANN- Laplace Equation (Test complete) https://drive.google.com/file/d/1dUmoopinjJRKqqNcFo4ou3SjDeq_NRzm/view?usp=sharing https://github.com/sciann/sciann-applications

35. SciANN -Vibration forward (Test complete) https://drive.google.com/file/d/13vukYeScQNriJ24CSrhwM65Ej40nvlZK/view?usp=sharing https://github.com/sciann/sciann-applications

36. Laplace solver (Test complete) https://drive.google.com/file/d/145liELfZpCSEyIS1sSTNrRWJ7tVxQXEP/view?usp=sharing https://github.com/moassem89/Neural-Networks-for-Differential-Equations

37. XPINN Poisson 2d (Test complete) https://colab.research.google.com/drive/1TqO_dXD1OfTDje9gUBaZfupu1BS6nbls?usp=sharing https://github.com/AmeyaJagtap/XPINNs

38. JAX _ PINN Burgers (Test complete) https://colab.research.google.com/github/ASEM000/Physics-informed-neural-network-in-JAX/blob/main/%5B2%5D_PDE_Burgers_PINN.ipynb https://github.com/ASEM000/Physics-informed-neural-network-in-JAX

39. JAX _ PINN Laplace (Test complete) https://colab.research.google.com/github/ASEM000/Physics-informed-neural-network-in-JAX/blob/main/%5B3%5D_PDE_Laplace_PINN.ipynb https://github.com/ASEM000/Physics-informed-neural-network-in-JAX

40. JAX _ PINN Supervised Loss + PINN (Test complete) https://colab.research.google.com/github/ASEM000/Physics-informed-neural-network-in-JAX/blob/main/%5B4%5D_ODE_Supervised_and_PINN.ipynb https://github.com/ASEM000/Physics-informed-neural-network-in-JAX

41. JAX _ PINN System of ODE (Test complete) https://colab.research.google.com/github/ASEM000/Physics-informed-neural-network-in-JAX/blob/main/%5B5%5D_System_of_ODEs_PINN.ipynb https://github.com/ASEM000/Physics-informed-neural-network-in-JAX

42. JAX _ Finite Difference (Test complete) https://colab.research.google.com/github/ASEM000/Physics-informed-neural-network-in-JAX/blob/main/%5B6%5D_ODE_PINN_finite_difference.ipynb https://github.com/ASEM000/Physics-informed-neural-network-in-JAX

43. PINNs for 1D Burgers Equation (TF2.0) (Graphs disabled due to incompatibility) (Test complete) https://colab.research.google.com/drive/1aXXghqtPDkqFZznxhCtePQe0MCHkwAQI?usp=sharing https://github.com/pierremtb/PINNs-TF2.0