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 ...

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 ...

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 ...

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 ...

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 ...

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. ...

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 ...

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. ...

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 ...

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 ...