Browsing Faculty Works, Department of Mathematics by Title
Now showing items 6988 of 225

factorization of scattering matrices due to partitioning of potentials in onedimensional Schrodingertype equations
(AIP Publishing, 199612)The onedimensional Schrodinger equation and two of its generalizations are considered, as they arise in quantum mechanics, wave propagation in a nonhomogeneous medium, and wave propagation in a nonconservative medium where ... 
Factors contributing to students and instructors experiencing a lack of time in college calculus
(SpringerOpen, 20170614)Background: Calculus is a foundational course for STEMintending students yet has been shown to dissuade students from pursuing STEM degrees. In this report, we examine factors related to students and instructors reporting ... 
Ferrofluids and magnetically guided superparamagnetic particles in flows: a review of simulations and modeling
(Springer Netherlands, 20170818) 
Fieldinduced motion of ferrofluid droplets through immiscible viscous media
(Cambridge University Press, 200809)The motion of a hydrophobic ferrofluid droplet placed in a viscous medium and driven by an externally applied magnetic field is investigated numerically in an axisymmetric geometry. Initially, the drop is spherical and ... 
Fine topology on function spaces
(Hindawi, 19860101)This paper studies the topological properties of two kinds of fine topologies on the space C(X,Y) of all continuous functions from X into Y. 
Firstprinciples study of several hypothetical silica framework structures
(American Physical Society, 19950915)Several hypothetical silica structures have been generated using a simulatedannealing strategy with an ab initio based covalentbonding potential. Firstprinciples totalenergy pseudopotential methods have been used to ... 
Fluid Limits of Optimally Controlled Queueing Networks
(Hindawi, 20070821)We consider a class of queueing processes represented by a Skorokhod problem coupled with a controlled point process. Posing a discounted control problem for such processes, we show that the optimal value functions converge, ... 
functional calculus for symmetric multigroup transport operator
(AIP Publishing, 197602)A rigorous treatment of the symmetric multigroup transport equation is given by developing the functional calculus for the transport operator. Von Neumann spectral theory is applied to nonorthogonal cyclic subspaces, and ... 
Glass transition seen through asymptotic expansions
(Siam Publications, 2011)Soft glassy materials exhibit the socalled glassy transition, which means that the behavior of the model at a low shear rate changes when a certain parameter (which we call the glass parameter) crosses a critical value. ... 
Global extremal conditions for multiinteger quadratic programming
(American Institute of Mathematical Sciences, 200805)Support vector machine (SVM) is a very popular method for binary data classification in data mining ( machine learning). Since the objective function of the unconstrained SVM model is a nonsmooth function, a lot of good ... 
Glucose modulates Ca2+ (i) oscillations in pancreatic islets via ionic and glycolytic mechanisms
(CELL PRESS, 200609)Pancreatic islets of Langerhans display complex intracellular calcium changes in response to glucose that include fast (seconds), slow (similar to 5 min), and mixed fast/slow oscillations; the slow and mixed oscillations ... 
GPUaccelerated discontinuous Galerkin methods on hybrid meshes
(Academic Press Inc Elsevier Science, 20160801) 
Growth of functions in cercles de remplissage
(Cambridge University Press, 200202)Suppose that f is meromorphic in the plane, and that there is a sequence z(n) > infinity and a sequence of positive numbers epsilon(n) > 0, such that epsilon(n)\z(n)f(#)(z(n))/log\z(n)\ > infinity. It is shown that ... 
Growth series for expansion complexes
This paper is concerned with growth series for expansion complexes for finite subdivision rules. Suppose X is an expansion complex for a finite subdivision rule with bounded valence and mesh approaching 0, and let S be a ... 
H2 model reduction for largescale linear dynamical systems
(Siam Publications, 2008)The optimal H2 model reduction problem is of great importance in the area of dynamical systems and simulation. In the literature, two independent frameworks have evolved focusing either on solution of Lyapunov equations ... 
H2QUASIOPTIMAL MODEL ORDER REDUCTION FOR QUADRATICBILINEAR CONTROL SYSTEMS
We investigate the optimal model reduction problem for largescale quadraticbilinear (QB) control systems. Our contributions are threefold. First, we discuss the variational analysis and the Volterra series formulation ... 
How soap bubbles freeze
(Springer Nature, 20190618)Droplets or puddles tend to freeze from the propagation of a single freeze front. In contrast, videographers have shown that as soap bubbles freeze, a plethora of growing ice crystals can swirl around in a beautiful effect ... 
Improved scaling for quantum monte carlo on insulators
(Siam Publications, 2011)Quantum Monte Carlo (QMC) methods are often used to calculate properties of many body quantum systems. The main cost of many QMC methods, for example, the variational Monte Carlo (VMC) method, is in constructing a sequence ...