Now showing items 1-10 of 12
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 ...
Linking neuronal brain activity to the glucose metabolism
Background Energy homeostasis ensures the functionality of the entire organism. The human brain as a missing link in the global regulation of the complex whole body energy metabolism is subject to recent investigation. The ...
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 ...
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 ...
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 ...
Interpolatory weighted-H-2 model reduction
(Pergamon-Elsevier Science Ltd, 2013-05-01)
Interpolatory H-infinity model reduction
(Elsevier Science Bv, 2013-07-01)
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 ...
Phase-locked loops, demodulation, and averaging approximation time-scale extensions
(Siam Publications, 2013)
Among the many applications of the phase-locked loop (PLL), a device used extensively in telecommunications and electronics, is the demodulation of modulated carrier signals. The PLL contains a voltage controlled oscillator ...