lecture 20: Pre-processing

lecture 20: Pre-processing

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lecture 20:

Pre-processing

Inverse Physics Informed Neural Networks (I-PINNs)

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Section 1: Introduction

  • lecture 1: Introduction
  • lecture 2: Course structure
  • lecture 3: Install PyTorch / CUDA
  • links.txt
  • ref.txt

Section 2: Pytorch Basics

  • Section-2 Files
  • lecture 4: Deep Learning Theory
  • lecture 5: PyTorch Tensors Basics
  • lecture 6: Tensors to NumPy arrays
  • lecture 7: Backpropagation Theory
  • lecture 8: Backpropagation using PyTorch

Section 3: FDM Numerical Solution for 1D Burgers Equation

  • Section-3 Files
  • lecture 9: Pre-processing
  • lecture 10: Solving the Equation
  • lecture 11: Post-processing
  • lecture 12: Solver Failure!

Section 4: PINNs Solution for 1D Burgers Equation

  • Section-4 Files
  • lecture 13: PINNs Theory
  • lecture 14: Define the Neural Network
  • lecture 15: Initial Conditions and Boundary Conditions
  • lecture 16: Optimizer
  • lecture 17: Loss Function
  • lecture 18: Train the Model
  • lecture 19: Results Evaluation

Section 5: TVD Method Solution for 1D Burgers Equation

  • Section-5 Files
  • lecture 20: Pre-processing
  • lecture 21: Solving the Equation
  • lecture 22: Post-processing
  • lecture 23: PINNs VS TVD , Results Comparison

Section 6: PyTorch: Inverse-PINNs (IPINNs) Solution for 1D Burgers Equation

  • Section-6 Files
  • lecture 24: Inverse-PINNs Theory
  • lecture 25: Create The Training Data
  • lecture 26: Define the Neural Network
  • lecture 27: Domain Data Input
  • lecture 28: Optimizer
  • lecture 29: Loss Function
  • lecture 30: Train the Model
  • lecture 31: PINNs VS TVD VS IPINNs , Results Comparison

Section 7: DeepXDE: Inverse-PINNs for Navier Stokes Equation

  • Section-7 Files
  • lecture 32: Inverse-PINNs Problem Setting
  • lecture 33: Create The Training Data -Part 1
  • lecture 34: Create The Training Data -Part 2
  • lecture 35: Define the Neural Network
  • lecture 36: Initial Conditions and Boundary Conditions
  • lecture 37: Loss Function
  • lecture 38: Optimizer
  • lecture 39: Train the Model
  • lecture 40: Results Evaluation2