Accession Number:

ADA252502

Title:

MAthematica (Trademark) and the Method of Steepest Descents. Part 2

Descriptive Note:

Corporate Author:

COLORADO SCHOOL OF MINES GOLDEN CENTER FOR WAVE PHENOMENA

Personal Author(s):

Report Date:

1992-05-01

Pagination or Media Count:

17.0

Abstract:

Mathematical is a symbolic manipulator with graphical capabilities. During the fall 1990 semester, I used Mathematical on my NeXT workstation to create graphics for teaching the method of steepest descents. This required level curve plots and surface plots for the real or imaginary part of functions of a complex variable. By the end of this topic in the course, I was doing near- research-level analysis of complex valued functions. The response of my class was also very positive. In Part I of this paper, I described some of the more elementary examples presented in that class. Here, I describe the application of the technique to the problem of scattering by a half plane, including the analysis of the exponent that leads to refracted and evanescent waves in a layered medium.

Subject Categories:

  • Numerical Mathematics
  • Computer Programming and Software

Distribution Statement:

APPROVED FOR PUBLIC RELEASE