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Transition to turbulence in pipe flow has puzzled scientists since the studies of Hagen, Poiseuille and, most prominently, Osborne Reynolds in the nineteenth century. Much of the difficulty in understanding the transition is connected with the linear stabi ...
Mathematical and numerical aspects of viscoelastic flows are investigated here. Two simplified mathematical models are considered. They are motivated by a splitting algorithm for solving viscoelastic flows with free surfaces. The first model is a simplifie ...
Brain-Machine Interfaces (BMIs) transform the brain activity of a human operator into executable commands that can be sent to a machine, usually a computer or robot, to perform intended tasks. In addition to current biomedical applications, available techn ...
This work studies linear elliptic problems under uncertainty. The major emphasis is on the deterministic treatment of such uncertainty. In particular, this work uses the Worst Scenario approach for the characterization of uncertainty on functional outputs ...
In this paper we present a method for the numerical solution of elliptic problems with multi-scale data using multiple levels of not necessarily nested grids. The method consists in calculating successive corrections to the solution in patches whose discre ...
Quantifying the effect of water soluble organic compounds (WSOC) on cloud droplet activation constitutes a major source of uncertainty in aerosol-cloud climate interaction studies. This study focuses on characterizing the WSOC found in a diverse set of aer ...
We discuss projection based Pad ́e-Jacobi approximants in general and present in particular an exact rational approximation to the Sign function. This serves as vehicle to analyze the behavior of Pad ́e-Jacobi approximants for discontinuous functions. The ...
In large area reactors, a local asymmetry of the electrode area, due to lateral grounded walls, causes a perturbation in rf plasma potential, due to the redistribution of lateral rf current, which propagates along the resistive plasma between capacitive sh ...
A simple scheme for the evaluation of the core spin-polarization contribution within pseudopotential electronic structure methods is proposed. The method uses a reconstruction of the all-electron wave functions and the frozen valence spin-d. approxn. to so ...
Within d. functional theory, a variational particle no. approach for rational compd. design (RCD) is presented. An expression for RCD is obtained in terms of minimization of a suitably defined energy penalty functional whose gradients are the nuclear and t ...