Outline of the Tutorial
- Introduction to Differential Equations
- What are Differential Equations
- Solving Differential Equations
- Differential Equations in Real life
- Neural Networks for Solving Differential Equations
- Challenges of Numerical Methods
- Physics-Informed Neural Networks
- Hands-on with the DeepXDE Library
- Neural Operators
- Hands-on with the Neural Operators library
- Neural Networks for Modelling Differential Equations
- Challenges on Differential Equations Formulation for Describing Real-world Systems
- Neural Ordinary Differential Equations
- Hands-on with the Torchdiffeq Library
- Wrap-up
- Physics-Informed Neural Networks versus Neural Ordinary Differential Equations
- What’s Next? (lightining talk on Neural Operators, Neural Laplace, etc.)
Schedule
1st Part. 14:00h-15:30h
Coffee break. 15:30h-16:00h
2nd Part. 16:00h-17:30h