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Effective October 2007, this technical report series is no longer being maintained. Links to recent publications may be found on the web pages of individual faculty members.

2005


2005_01
Author: R.B. Platte and T.A. Driscoll
Title: Eigenvalue stability of radial basis function discretizations for time-dependent problems
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Keywords: radial basis functions, RBF, method of lines, numerical stability, least squares

2005_02
Author: F. Cakoni, G.C. Hsiao and W. Wendland
Title: On the Boundary Integral Equation Method for a Mixed Boundary Value Problem of the Biharmonic Equation
Abstract: HTML version is available
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Keywords: Biharmonic equation, mixed boundary value problems, boundary integral equations, variational formulations

2005_03
Author: K. Johnson and L.F. Rossi
Title: A mathematical and experimental study of ant foraging line dynamics
Abstract: HTML version is available
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Keywords: Mathematical modeling, ant colony, self-organization, foraging lines

2005_04
Author: L. Mytnik, E. Perkins and A. Sturm
Title: On pathwise uniqueness for stochastic hear equations with non-Lipschitz coefficients
Abstract: HTML version is available
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Keywords: Heat equation, colored noise, stochastic partial differential equation, uniqueness, existence

2005_05
Author: L.F. Rossi
Title: Evaluation of the Biot-Savart integral for deformable elliptical Gaussian vortex elements
Abstract: HTML version is available
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Keywords: computational fluid dynamics, vortex methods, deforming elements, elliptical Gaussians, fast summation

2005_06
Author: G. C. Hsiao and W.L. Wendland
Title: A Characterization of the Calderón Projector for the Biharmonic Equation
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Keywords: Biharmonic equation, mixed boundary value problems, boundary integral equations, variational


©2005 Department of Mathematical Sciences
University of Delaware
Last Modified: October 16, 2007
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