Resume

• 2008

  David

  Stowell

  DCCCD

  Utah State University

  Department of Mathematics

  Raytheon Missle Systems

  Southern Methodist University

  BYU-Idaho

  Brigham Young University - Idaho

  Rexburg

  ID

  Taught applied mathematics and statistics courses to mathematics and engineering students. Courses taught include Numerical Analysis I and II ( numerical linear algebra

  interpolation and approximation

  numerical odes and pdes)

  Intro to Partial Differential Equations

  Engineering Statistics. Mentored student research projects. Examples of such projects include signal denoising with wavelets

  mathematical rating and ranking methods

  facial recognition using wavelets

  fiber waveguide modes.

  Mathematics Professor

  Brigham Young University - Idaho

  Taught undergraduate mathematics courses at Richland College.

  instructor

  Dallas/Fort Worth Area

  DCCCD

  Dallas

  TX

  I did my research in computational electromagnetics under Dr. Johannes Tausch. I also took classes from a number of other world renown applied mathematicians: Dr. Larry Shampine ( numerical PDEs)

  Dr. Thomas Hagstrom( discontinouts Galerkin methods)

  Dr. Younkai Zhou (numerical linear algebra) and Dr. Richard Haberman( pdes).

  Graduate Teaching Assistant

  Southern Methodist University

  Taught undergraduate mathematics courses.

  BYU-Idaho

  Java Programmer/Research Assistant

  Developed java applets for mathematics education website

  Utah State University

  Department of Mathematics

  Systems Engineer

  Algorithm development

  data analysis and visualization

  statistical modeling

  machine learning. Design

  analysis and implementation of experiments for algorithm verification.

  Raytheon Missle Systems

• 2007

  Doctor of Philosophy (Ph.D.)

  Dissertation- Computing Eigensolutions for Singular Sturm-Liouville Problems in Photonics

  Computational and Applied Mathematics

  Southern Methodist University

• 1999

  Graduare Certificate

  Statistics

  University of Arizona

  Master of Science (MS)

  Mathematics

  Utah State University

• 1994

  Spanish

  Bachelor of Science (BS)

  Mathematics

  Utah State University

• National Library of Virtual Manipulatives

  A digital library containing Java applets and activities for K-12 mathematics

  Higher Education

  Image Processing

  Java

  Machine Learning

  Courses

  College Teaching

  Mathematics

  Statistics

  Science

  Matlab

  University Teaching

  Numerical Analysis

  C++ Language

  Curriculum Development

  Mathematics Education

  Teaching

  Research

  C++

  R

  Curriculum Design

  Computing Eigensolutions for singular Sturm-Liouville Problems in Photonics

  Computing Eigensolutions for singular Sturm-Liouville Problems in Photonics

  Johannes Tausch

  Guided and leaky modes of planar dielectric waveguides are eigensolutions of a\nsingular Sturm-Liouville problem. This paper describes how this problem can be transformed\ninto a quartic eigenvalue problem

  which in turn can be converted into a generalized eigenvalue\nproblem. Thus standard iterative methods

  such as Arnoldi methods

  can be used to compute the\nspectrum. We show how the shifts in the Arnoldi methods must be selected to obtain convergence\nto the dominant modes. In addition

  by using high-order ¯nite elements

  the resulting solutions\ncan be made extremely accurate. Numerical examples demonstrate the speed and accuracy as\nwell as the stability of the method.

  Guided and Leaky Modes of Planar Waveguides: Computation via High-Order Finite Elements

  Johannes Tausch

  Variational Formulation for Guided and Leaky Modes in multilayer dielectric waveguides