Documentation

[jejjohnson]

Main Tutorials

These tutorials showcase how the user should think about PDEs using our abstraction.
Then they showcase how to use the software to comply with this abstraction.

• Anatomy of a PDE - Tutorial: Anatomy of a PDE #40
• Coding a PDE in 3 Ways - Tutorial: 3 APIs for PDEs #38
• Spatial Operators - Tutorial: Spatial Operators #41
• Boundary Value Operators - Tutorial: Boundary Value Operators #42
• Grid Operations
• TimeSteppers - Tutorial: TimeSteppers #39
• 12 Steps to Navier-Stokes - Tutorial: 12 Steps to Navier Stokes #11

---

Extended Deep Dives

These tutorials go over some of the nuances of the package that may help the user define special cases.

• Geometries - Tutorial: Geometries #43
• Modern Inversion Schemes - Generic Elliptical Terms #24
• Experimental Scripts w/ Hydra
• Spherical Coordinates - Spherical Coordinates #33
• FAQs & Gotchas
  • NANs
  • Non-Dimensionalization

---

Simple Ocean Models

These tutorials showcase the simplified ocean models.

• Lorenz Family - Extended Lorenz Family #23
• Quasi-Geostrophic Equation - Documentation: Tutorials - QG #36
• Shallow Water Equations - Documentation | Examples: Shallow Water #37

---

Learning Schemes - #13

These tutorials introduce the user to how one can do parameter and/or state estimation using the autodiff framework.

• Gradients & Optimization - Tutorial: Gradients & Optimisation #6
• State Estimation
• Parameter Estimation
• State & Parameter Estimation