355 citations · 1.5k across the 64 of their papers we have counts for
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A probabilistic decomposition-synthesis method for the quantification of rare events due to internal instabilities
Mustafa A. Mohamad, Will Cousins, Themistoklis P. Sapsis
We consider the problem of probabilistic quantification of dynamical systems that have heavy-tailed characteristics. These heavy-tailed features are associated with rare transient…
A minimization principle for the description of time-dependent modes associated with transient instabilities
Hessam Babaee, Themistoklis Sapsis
We introduce a minimization formulation for the determination of a finite-dimensional, time-dependent, orthonormal basis that captures directions of the phase space associated with…
A moment-equation-copula-closure method for nonlinear vibrational systems subjected to correlated noise
Han Kyul Joo, Themistoklis P. Sapsis
We develop a moment equation closure minimization method for the inexpensive approximation of the steady state statistical structure of nonlinear systems whose potential functions…
Reduced order prediction of rare events in unidirectional nonlinear water waves
Will Cousins, Themistoklis P. Sapsis
We consider the problem of short-term prediction of rare, extreme water waves in unidirectional fields, a critical topic for ocean structures and naval operations. One possible mec…