Overview

Exponax comes with many pre-built dynamics. They are all based on the idea of solving semi-linear PDEs

\[ \partial_t u = \mathcal{L} u + \mathcal{N}(u) \]

where \(\mathcal{L}\) is a linear operator and \(\mathcal{N}\) is a non-linear differential operator.

TODO: add classification of dynamics based on:

• linear or nonlinear or reaction-diffusion
• specific (i.e. concrete equations like advection, Burgers etc.) or generic based on providing a collection of linear and nonlinear coefficients
• if generic: whether it uses a physical, normalized or difficulty-based interface
• in higher dimensions: whether it behaves isotropic or anisotropic (with different coefficients per direction)

Then the resulting behavior can also be classified into ...