Applied Koopman Theory for Partial Differential Equations and Data-Driven Modeling of Spatio-Temporal Systems

Figure 2

(a) Evolution dynamics of Burgers’ equation with initial condition . (b) Fifteen mode DMD approximation of the Burgers’ evolution. The simulation of (24) was performed over where the sampling was taken at every . The domain was discretized with points on a domain .

(a)

(b)