Browsing Faculty Works, Department of Mathematics by Title
Now showing items 7796 of 225

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 ... 
Individual and situational factors related to undergraduate mathematics instruction
(20190628)Abstract Background In the US, there is significant interest from policy boards and funding agencies to change students’ experiences in undergraduate mathematics classes. Even ... 
inertiainduced breakup of highly viscous drops subjected to simple shear
(AIP Publishing, 200305)We investigate the inertiadriven breakup of viscous drops suspended in a less viscous liquid under simple shear. For Stokes flow, it is known that there is a critical value of the viscosity ratio, beyond which breakup ... 
Inexact solves in interpolatory model reduction
(Elsevier Science Inc, 20120415) 
Integral equation methods for the inverse problem with discontinuous wave speed
(AIP Publishing, 199607)The recovery of the coefficient H(x) in the onedimensional generalized Schrodinger equation d(2) psi dx(2)+k(2)H(x)(2) psi=Q(x)psi, where H(x) is a positive, piecewise continuous function with positive limits H+/ as ... 
interaction function and lattice duals
(AIP Publishing, 197710)An interaction function is defined for lattice models in statistical mechanics. A correlation function expansion is derived, giving a direct proof of the duality relations for correlation functions. 
internal capillarygravity waves of a twolayer fluid with free surface over an obstruction  Forced extended KdV equation
(AIP Publishing, 199602)In this paper we study steady capillarygravity waves in a twolayer fluid bounded above by a free surface and below by a horizontal rigid boundary with a small obstruction. Two critical speeds for the waves are obtained. ... 
Interpolatory Hinfinity model reduction
(Elsevier Science Bv, 20130701) 
Interpolatory methods for $\mathcal{H}_\infty$ model reduction of multiinput/multioutput systems
(Springer, 20160801)We develop here a computationally effective approach for producing highquality $\mathcal{H}_\infty$approximations to large scale linear dynamical systems having multiple inputs and multiple outputs (MIMO). We extend an ...