Browsing Department of Mathematical Sciences by Title

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  • Borwein, J. M.; Luke, D. Russell (Department of Mathematical Sciences, 2004-11-16)
    We study a generalization of a continued fraction of Ramanujan with random coefficients. A study of the continued fraction is equivalent to an analysis of the convergence of certain stochastic difference equations and the ...
  • Platte, R.B.; Driscoll, Tobin A. (Department of Mathematical Sciences, 2005)
    Differentiation matrices obtained with infinitely smooth radial basis function (RBF) collo- cation methods have, under many conditions, eigenvalues with positive real part, preventing the use of such methods for ...
  • Hsiao, George C.; Monk, Peter B.; Nigam, N. (Department of Mathematical Sciences, 2002)
    In 1996 Hazard and Lenoir suggested a variational formulation of Maxwell's equations using an overlapping integral equation and volume representation of the solution. They suggested a numerical scheme based on this ...
  • Rossi, Louis F. (Mathematical Sciences Department, 2005)
    This paper introduces two techniques for approximating the Biot-Savart integral for deforming elliptical Gaussian functions. The primary motivation is to develop a high spatial accuracy vortex method. The first technique ...
  • Cirillo, Michelle; Todd, Rachael; Obrycki, Joe (2015-05-04)
    We describe an exploratory task intended to support students’ conceptual understandings of triangle congruence with particular emphasis on the Side-Side-Angle (SSA) case. We reveal how SSA, often dismissed, is actually a ...
  • Kirsch, A.; Monk, Peter B. (Department of Mathematical Sciences, 2000)
    We provide an error analysis of a fully discrete finite element – Fourier series method for approximating Maxwell’s equations. The problem is to approximate the electromagnetic field scattered by a bounded, inhomogeneous ...
  • Li, Wenbo (Department of Mathematical Sciences, 2002)
    Consider the first exit time, ˝D of a (d + 1)-dimensional Brownian motion from an unbounded open domain D = (x; y) 2 R d+1 : y > f(x); x 2 R d starting at (x0; f(x0) + 1) 2 R d+1 for some x0 2 R d , where ...
  • Rossi, L.F.; McKinley, G.; Cook, L.P (Depatment of Mathematical Sciences, 2006)
  • Luke, D. Russell (Department of Mathematical Sciences, 2004)
    The filtered backprojection algorithm (FBP) is a standard image reconstruction algorithm used in many imaging modalities. The FBP algorithm is suited for high-frequency imaging applications, that is, applications where the ...
  • Hsiao, George C.; Elschner, J.; Rathsfeld, A. (Department of Mathematical Sciences, 2003-02-04)
    We consider the inverse diffraction problem to recover a two-dimensional periodic structure from scattered waves measured above and beneath the structure. The task is reformulated in form of an optimization problem ...
  • Rossi, Louis F. (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 ...
  • Rossi, Louis F. (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. ...
  • Hsiao, George C.; Schnack, E.; Wendland, W.L. (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. ...
  • Heidari, A.H.; Braun, Richard J.; Hirsa, A. H.; Snow, S.A.; Naire, S. (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 ...
  • Driscoll, Tobin A. (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 ...
  • Hebeker, Friedrich-Karl; Hsiao, George C (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 ...
  • Hsiao, George C.; Nigam, Nilima; Sändig, Anna-Margarete (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. ...
  • Hanson, E.B.; Hsiao, George C. (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 ...
  • Chandler, D.B.; Xiang, Qing (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 ...
  • Cakoni, Fioralba; Colton, David; Monk, Peter B. (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 ...

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