Research Presentations and Master’s Theses made by students under the mentorship of Clarence Burg

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Master’s Theses

1.      Vasanth Kumar Murali, “Code Verification using the Method of Manufactured Solutions”, Master of Science in Computational Engineering, Mississippi State University, December 2002. 

2.      Sunil Nandihalli,  “A B-Spline Geometric Modeling Methodology for Free Surface Simulations”, Master of Science in Computational Engineering, Mississippi State University, May 2004.

3.      David Watts, “Analysis of Numerical Methods for the Wvae Equation using the Modified Equation”, Master of Science in Applied Mathematics, University of Central Arkansas, August 2008.

4.      Sam Green, “FPGA Coprocessing for Computational Mathematics”, Master of Science in Applied Mathematics, University of Central Arkansas, May 2009.

5.      Taylor Erwin, “Richardson Extrapolation applied to Numerical Solution of Compressible Euler Equations”, Master of Science in Applied Mathematics, University of Central Arkansas, August 2009.

6.      Ethan Hereth, “Numerical Simulation of Subaqueous Debris Flow in One Dimension”, Master of Science in Applied Mathematics, University of Central Arkansas, August 2009.

7.      Eric Sellers, thesis track, Master of Science in Applied Mathematics, University of Central Arkansas, expected August 2011.A B-spline geometric modeling methodology for free surface simulati

Student Conference Presentations
  1. Womack, D., “Numerical Simulation of Population Distributions in Two Dimensions”, 28th Southeastern Atlantic Regional Conference on Differential Equations, Little Rock, AR, Oct, 2008.  
  2. Hereth, E., “A Numerical Solver for Burgers’ Equations in Two Dimensions”, 28th Southeastern Atlantic Regional Conference on Differential Equations, Little Rock, AR, Oct, 2008.  
  3. Erwin, T., “Application of Richardson Extrapolation to the Numerical Solution of Partial Differential Equations”, 28th Southeastern Atlantic Regional Conference on Differential Equations, Little Rock, AR, Oct, 2008.  
  4. Brozak, M, and Burg, C. O. E., “Implementation of the Space Time Finite Volume Method on a One Dimensional Wave Maker”, Seventh Mississippi State – UAB Conference on Differential Equations and Computational Simulations, Birmingham, AL, Nov. 1-3, 2007.
  5. Erwin, T., and Burg, C. O. E., “Application of Richardson Extrapolation to the Two Dimensional Shallow Water Equations”, Seventh Mississippi State – UAB Conference on Differential Equations and Computational Simulations, Birmingham, AL, Nov. 1-3, 2007.
Student Posters
  1. Hereth, E., Womack, D., “Interactive Computational Sciences Website”, Arkansas Space Grant Symposium, April 24, 2009.
  2. Hereth, E., Womack, D., “Interactive Computational Sciences Website”, UCA College of Natural Sciences and Mathematics Poster Symposium, April 24, 2009.
  3. Erwin, T., “Improving the Accuracy of Computational Simulations Using a Century Old Technique”, 1st Annual Conference of the Arkansas Science and Technology Authority, Oct., 2008.
  4. Erwin, T., “Application of Richardson Extrapolation to the Numerical Solution of Partial Differential Equations in Two Dimensions”, UCA College of Natural Sciences and Mathematics Poster Symposium, Spring, 2008.
  5. Brozak, M., “Implementation of the Space Time Volume Method on a One Dimensional Wave Maker”, College of Natural Sciences and Mathematics Poster Symposium, Spring, 2008.
  6. Erwin, T. and Johnson, J., “Using Richardson Extrapolation to Increase the Spatial Accuracy of Existing Computational Solvers”, College of Natural Sciences and Mathematics Poster Symposium, Spring, 2007.