Research Article

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

Table 2

Algorithm 2 results (40 × 40 grid, , ).
(a)

Elapsed time (sec)Grid size n-by-n# of snapshots# of spatial modes (Nmd)

44.9840 × 400.05132112

(b)

ErrorsAverage percent errorF-norm percent errorInf-nor percent error2-norm percent error

1.4161%0.99133%1.8595%1.3974%

(c)

Reduced memory to % of originalKB to store and KB to store original modelKB to store spatial modes ()KB to store temporal coefficients ()

57.8930%151.969262.5150.01.969