Using the Nonuniform Dynamic Mode Decomposition to Reduce the Storage Required for PDE Simulations

Table 5

Algorithm 2 results (40 × 40 grid and 40 time steps).

(a)

Elapsed time (sec)	Grid size n-by-n		# of snapshots	# of spatial modes (Nmd)
18.07	40 × 40	0.0513	20	6

(b)

Errors	Average percent error	F-norm percent error	Inf-norm percent error	2-norm percent error
	20.0322%	14.0517%	26.2222%	19.8227%

(c)

Reduced memory to % of original	KB to store and	KB to store original model	KB to store spatial modes ()	KB to store temporal coefficients ()
30.75%	151.75	500.0	150.0	1.875