This paper focuses on the low-dimensional representation of multivariate functions. We study a recursive POD representation, based upon the use of the power iterate algorithm to recursively expand the modes retained in the previous step. We obtain general error estimates for the truncated expansion, and prove that the recursive POD representation provides a quasi-optimal approximation in L2 nor...

The present study reported for the first time covalent immobilization of protocatechuate 3,4-dioxygenase (3,4-POD) onto functionalized multi-walled carbon nanotubes (F-MWCNT) for degrading the toxic 3,4-dihydroxybenzoic acid (3,4-DHBA) pollutant in water. The F-MWCNTs had a maximum 3,4-POD loading of 1060 μg/mg. Immobilized 3,4 POD had 44% of relative structural changes to its free configuratio...

Two popular model reduction methods, the proper orthogonal decomposition (POD), and balanced truncation, are applied together with Galerkin projection to the twodimensional Burgers’ equation. This scalar equation is chosen because it has a nonlinearity that is similar to the NavierStokes equation, but it can be accurately simulated using far fewer states. However, the number of states required ...

In Greece and Turkey, okra (Hibiscus esculentus L.) is cultivated for small pods (≤4-5 cm), which are highly perishable after harvest. In this experiment, okra was cultivated at 4 levels of N (30, 150, 300 and 450 mg l-1) within the irrigation water. Pod yield was highest at 300 mg l-1 N. High N increased the nitrate content and decreased dry matter without affecting pod colour (P

Due to the simple structure, high torque density, low maintenance, and high efficiency, brushless direct current (BLDC) motors are widely used in automation and industrial applications. A control strategy based on single current sensor is proposed for a four-switch three-phase BLDC motor system to lower cost and improve reliability. The whole working process of the BLDC motor is divided into si...

The role of lipids in the process of embryonic development of Caenorhabditis elegans is still poorly understood. Cytochrome P450s, a class of lipid-modifying enzymes, are good candidates to be involved in the production or degradation of lipids essential for development. We investigated two highly similar cytochrome P450s in C. elegans, cyp-31A2 and cyp-31A3, that are homologs of the gene respo...

Data driven approaches are utilized for optimal sensor placement as well velocity prediction of wind turbine wakes. In this work, several methods investigated suitability in the clustering analysis and predicting time history flow field. The studies start by applying a proper orthogonal decomposition (POD) technique to extract dynamics flow. This is followed evaluations different hyperparameter...

We consider a limited-area finite-element discretization of the shallow-water equations model. Our purpose in this paper is to solve an inverse problem for the above model controlling its initial conditions in presence of observations being assimilated in a time interval (window of assimilation). We then attempt to obtain a reduced-order model of the above inverse problem, based on proper ortho...

Abstract A Reduced-Order Model (ROM) is developed for the prediction of unsteady transonic flows past an airfoil submitted to small deformations, at moderate Reynolds number. Considering a suitable state formulation as well as a consistent inner product, the Galerkin projection of the compressible flow Navier-Stokes equations, the High-Fidelity (HF) model, onto a low-dimensional basis determine...