# Browsing Department of Mathematical Sciences by Title

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• (2001)
A new high order Lagrangian method uses moving basis functions to represent the moisture content in an unsaturated porous material. The basis functions are localized elliptical Gaussians that can move, spread, elongate ...
• (Department of Mathematical Sciences, 2001)
This manuscript introduces a new vortex method based on elliptical Gaussian basis functions. Each basis function translates, nutates, elongates and spreads through the action of the local flow field and fluid viscosity. ...
• (Department of Mathematical Sciences, 2000)
In this hybrid method, we consider, in addition to traditional finite elements, the Trefftz elements for which the governing equations of equilibrium are required to be satisfied a priori within the subdomain elements. ...
• (Department of Mathematical Sciences, 2001)
The drainage of a thin liquid film with an insoluble monolayer down a vertical wall is studied. Lubrication theory is used to develop a model where the film is pinned at the top with a given thickness and the film drains ...
• (Mathematical Sciences Department, 2003)
The Schwarz-Christoffel Toolbox (SC Toolbox) for MATLAB, rst released in 1994, made possible the interactive creation and visualization of conformal maps to regions bounded by polygons. The most recent release supports ...
• (2006-07-07)
A constructive approach is presented to treat an initial boundary value problem for isothermal Navier Stokes equations. It is based on a characteristics (Lagrangean) approximation locally in time and a boundary intergral ...
• (2006-07-12)
This paper is concerned with a boundary-field equation approach to a class of boundary value problems exterior to a thin domain. A prototype of this kind of problems is the interaction problem with a thin elastic structure. ...
• (Department of Mathematical Sciences, 1999-12-07)
Compressible flow is considered in the hodograph plane. The fact that the equation for the stream function is linear there is exploited to derive a representation formula for the stream function, involving boundary data ...
• (Department of Mathematical Sciences, 2002)
Using the Smith normal forms of the symmetric designs associated with the HKM and Lin difference sets, we show that not only are these two families of difference sets inequivalent, but also that the associated symmetric ...
• (Department of Mathematical Sciences, 2004)
We use the linear sampling method to determine the shape and surface conductivity of a partially coated dielectric from a knowledge of the far field pattern of the scattered electromagnetic wave at fixed frequency. A ...
• (Department of Mathematical Sciences, 2003)
The best-known negative answer to Mark Kac's question, "Can one hear the shape of a drum?" is a pair of octagons discovered by Gordon, Webb, and Wolpert. Their nonconstructive proof of Dirichlet isospectrality has since ...
• (The International Group for the Psychology of Mathematics Education, 2011)
This article describes the experiences of a beginning mathematics teacher, Matt, across his first three years of teaching proof in a high school geometry course. Matt’s past experiences with mathematics influenced his ...
• (Department of Mathematical Sciences, 2002)
Suppose that g(t) and Wt are independent Brownian motions starting from g(0) = W0 = 0. Consider the Brownian motion Yt re ected on g(t), obtained from Wt by the means of the Skorohod lemma. The upper and lower limiting ...
• (Department of Mathematical Sciences, 2005-04-13)
In this article, we present a mathematical model coupled to an experimental study of ant foraging lines. Our laboratory experiments do not support the common traffic modeling assumption that ant densities and velocities ...
• (Department of Mathematical Sciences, 2000)
The essence of the boundary-field equation method is the reduction of the boundary value problem under consideration to an equivalent nonlocal boundary value problem in a bounded domain by using boundary integral ...
• (Department of Mathematical Sciences, University of Delaware, 2004-09-01)
Many biological phenomena are characterized by extensive fluid mechanical and chemical reactionary systems. As such, it is necessary to understand the manner in which these processes develop and the role that they play in ...
• (Department of Mathematical Sciences, 2001)
The model for anisotropic crystal growth on a substrate covered by a mask material with a periodic series of parallel long trenches where the substrate is exposed to the vapor phase if developed. The model assumes that ...
• (Department of Mathematical Sciences, 2001)
We developed a consistent mathematical model for isotropic crystal growth on a substrate covered by the mask material with periodic series of parallel long trenches where the substrate is exposed to the vapor phase. Surface ...
• (Department of Mathematical Sciences, 2002)
The design of repository seals for deeply buried high-level radioactive wastes incorporates densely compacted clayey barriers around metallic waste canisters. In this paper, a mathematical model that is based on conservation ...
• (Department of Mathematical Sciences, 2002)
We study the drainage of the precorneal tear lm in humans. A uid dynamic model for the drainage of the aqueous layer is developed that includes the effects of evaporation and gravity. The model may be reduced to a ...