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Table 6 Number of asymptotically stable systems out of 100 ROMs with dimensions \(1,\ldots ,100\) in MOR of stochastic Galerkin system for band-pass filter example

From: Stability-preserving model order reduction for linear stochastic Galerkin systems

 

FOM system

# stable ROMs

(i)

DAE

22

(ii)

regularized system (ODE)

59

(iii)

transformed as in Sect. 4.1 (ODE)

100

(iv)

transformed as in Sect. 4.3 (ODE)

100