RedEigCD enables stable timestep increases up to 40 times larger than full-order models for projection-based ROMs of incompressible flows by using exact spectral bounds on reduced convective and diffusive operators together with a proof that ROM stable timesteps are at least as large as FOM ones.
Bendixson, Sur les racines d’une équation fondamentale, Acta Mathematica 25 (1902) 359–365
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Defines multiple digraph Laplacian matrices and proves spectral relations, a radius bound with equality case, and a determinantal identity linking regular digraphs to their line digraphs.
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Stable self-adaptive timestepping for Reduced Order Models for incompressible flows
RedEigCD enables stable timestep increases up to 40 times larger than full-order models for projection-based ROMs of incompressible flows by using exact spectral bounds on reduced convective and diffusive operators together with a proof that ROM stable timesteps are at least as large as FOM ones.
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On the Spectra of Digraph Laplacians
Defines multiple digraph Laplacian matrices and proves spectral relations, a radius bound with equality case, and a determinantal identity linking regular digraphs to their line digraphs.