Now showing items 1-10 of 14
Model reduction of descriptor systems by interpolatory projection methods
(Siam Publications, 2013)
In this paper, we investigate an interpolatory projection framework for model reduction of descriptor systems. With a simple numerical example, we first illustrate that directly applying the subspace conditions from the ...
Numerical Approximations of the Dynamical System Generated by Burgers' Equation with Neumann-Dirichlet Boundary Conditions
(EDP Sciences, 2013-09)
Using Burgers' equation with mixed Neumann-Dirichlet boundary conditions, we highlight a problem that can arise in the numerical approximation of nonlinear dynamical systems on computers with a finite precision floating ...
On the eigenfunctions for Hookean and FENE dumbbell models
(AIP Publishing, 2013-09)
We study the linear eigenvalue problem for the distribution function associated with Hookean and FENE dumbbell models. For Hookean dumbbells, the eigenfunctions can be expressed by generalized Laguerre polynomials. The ...
Spontaneous penetration of a non-wetting drop into an exposed pore
(American Institute of Physics, 2013-05)
We consider the penetration process of a liquid drop approaching an exposed pore along the axis of symmetry, which is intended to model the penetration of non-wetting drops into a porous medium. Inertia and gravity are ...
A volume-of-fluid formulation for the study of co-flowing fluids governed by the Hele-Shaw equations
(American Institute of Physics, 2013-08)
We present a computational framework to address the flow of two immiscible viscous liquids which co-flow into a shallow rectangular container at one side, and flow out into a holding container at the opposite side. Assumptions ...
Stabilizing gene regulatory networks through feedforward loops
(American Institute of Physics, 2013-06)
The global dynamics of gene regulatory networks are known to show robustness to perturbations in the form of intrinsic and extrinsic noise, as well as mutations of individual genes. One molecular mechanism underlying this ...
Analysis of Entropy Generation Rate in an Unsteady Porous Channel Flow with Navier Slip and Convective Cooling
This study deals with the combined effects of Navier Slip, Convective cooling, variable viscosity, and suction/injection on the entropy generation rate in an unsteady flow of an incompressible viscous fluid flowing through ...
Interpolatory H-infinity model reduction
(Elsevier Science Bv, 2013-07-01)
Interpolatory weighted-H-2 model reduction
(Pergamon-Elsevier Science Ltd, 2013-05-01)
Nonlinear integral inequalities with delay for discontinuous functions and their applications
This paper investigates integral inequalities with delay for discontinuous functions involving two nonlinear terms. We do not require the classes ℘ and ȷ in Gallo and Piccirillo’s paper (Bound. Value Probl. 2009:808124, ...