In this paper we consider a strongly coupled (monolithic) fluid structure interaction framework for incompressible flow, as opposed to a loosely coupled (partitioned) method. This requires solving a single linear system that combines the unknown velocities of the structure with the unknown pressures of the fluid. In our previous work, we were able to obtain a symmetric formulation of this coupl...

When factoring linear partial differential systems with a finite-dimensional solution space or analyzing symmetries of nonlinear ode’s, we need to look for rational solutions of certain nonlinear pde’s. The nonlinear pde’s are called Riccati-like because they arise in a similar way as Riccati ode’s. In this paper we describe the structure of rational solutions of a Riccati-like system, and an a...

Reverse factoring—a financial arrangement where a corporation facilitates early payment of its trade credit obligations to suppliers—is increasingly popular in industry. Many firms use the scheme to induce their suppliers to grant them more lenient payment terms. By means of a periodic review base stock model that includes alternative sources of financing, we explore the following question: wha...

In this paper, a novel method for facial representation called Spatially Confined Non-Negative Matrix Factorization (SFNMF) is presented. SFNMF aims to extract more spatially confined, parts-based representation from the NMF based representation by merely removing non-prominent region, and focalize on the salient feature. SFNMF derived a significant set of basis which allows a non-subtractive r...

We use a χ analysis on our spoken dialogue tutoring corpus to investigate dependencies between uncertain student answers and 9 dialogue acts the human tutor uses in his response to these answers. Our results show significant dependencies between the tutor’s use of some dialogue acts and the uncertainty expressed in the prior student answer, even after factoring out the answer’s (in)correctness....

Design of recommender system following the latent factor model is widely cast as a matrix factorization problem yielding a rating matrix, which is a product of a dense user and a dense item factor matrices. A dense user factor matrix is a credible assumption as all users are expected to have some degree of affinity towards all the latent factors. However, for items it’s not a reasonable supposi...

We prove that the factorization of a saturated fusion system over discrete $p$-toral group as product indecomposable subsystems is unique up to normal automorphisms and permutations factors. In particular, if

We discuss in this paper the numerical approximation of fluid-structure interaction (FSI) problems dealing with strong added-mass effect. We propose new semi-implicit algorithms based on inexact block-LU factorization of the linear system obtained after the space-time discretization and linearization of the FSI problem. As a result, the fluid velocity is computed separately from the coupled pre...