How do you set the hyper-parameters when solving ODE?

[pengkainan]

Hi, just wondering how do you guys set the hyper-parameters, like 1/6, 1/3 and 1/2 when solving ODE? https://github.com/wangleiphy/MongeAmpereFlow/blob/master/flow.py#L39-L46

[se4u]

@pengkainan This is just the standard, 4 step, explicit, Runge-Kutta procedure for solving ODEs. These "hyperparameters" were not "learned". Rather they were "derived" based on mathematical considerations regarding the speed of convergence of the numerical method. If you look at any book on numerical methods for ODEs you will see a derivation of this scheme.