• Numerical Methods for Partial Differential Equations
• Optimal (Shape) Design
• Sensitivity Analysis

1. "Sensitivity Analysis for Actuator Placement on an Euler-Bernoulli Beam", Proceedings of the 43rd IEEE Conference on Decision and Control, Paradise Island, The Bahamas, December, 2004. CDRom ISBN: 0-7803-8683-3, IEEE Catalog Number: 04CH37601C, Paper ISBN: 0-7803-8682-5/04, Paper Reference: 0260-WeA04.6.
   Preprints: (PDF), (PS), Abstract available in (HTML) format.
2. "A Petrov-Galerkin Finite Element Method for Interface Problems Arising in Sensitivity Computations," with J. Burns and T. Lin, to appear in Mathematical and Computer Modeling,
   Preprints: (PDF), (PS), Abstract available in (HTML) format.
3. Design Sensitivity Analysis: Computational Issues of Sensitivity Equation Methods, SIAM Series: Frontiers in Applied Mathematics, with Lt.Col. Dr.Dawn Stewart (USAF), November, 2002.
4. "Optimal Shape Design using Domain Transformations and Continuous Sensitivity Equation Methods", System Modelling and Optimization, (Proceedings of the IFIP 20th TC7 Conference on System Modelling and Optimization, Trier, Germany, 2001), Kluwer Academic Publishers, 301-316 (2003).
   Preprints: (PDF), (PS), Abstract available in (HTML) format.
5. "Sensitivity Equation Methods for Parameter Dependent Elliptic Equations", Numerical Functional Analysis and Optimization, Vol 22(5&6), 721-748, (2001).
   Preprints: (PDF), (PS), Abstract available in (HTML) format.
6. "Shape Sensitivities for Optimal Design: A Case Study on the Use of Continuous Sensitivity Equation Methods", Convex /Nonconvex Mechanics: Modeling, analysis and Numerical Methods (Proceedings of the 1999 ASME Mechanics and Materials Conference, June 27-30, 1999, Blacksburg, VA), D.Y. Gao, R.W. Ogden, G.E. Stavroulakis, eds., Vol. 50 of the series Nonconvex Optimization and Its Applications, Kluwer Academic Publishers, 369-389 (2001).
   Preprints: (PDF),(PS), Abstract available in (HTML) format.
7. "A Note on the Use of Transformations in Sensitivity Computations for Elliptic Systems", (with J. Burns), Computational and Control VI (Proceedings of the Sixth Bozeman Conference on Computation and Control, August 4-7, 1998, Bozeman, MT), H.T. Banks, K.L. Bowers & J.L. Lund, eds., a special issue of Mathematical and Computer Modelling, 33(1-3):101-114 (January-February, 2001).
   Preprints: (PDF), (PS), Abstract available in (HTML) format.
8. "A Sensitivity Equation Method for Molding Processes," IEEE International Conference on Control Applications (Proceedings of the 2000 IEEE International Conference on Control Applications and IEEE International Symposium on Computer-Aided Control Systems Design, September 25-27, Anchorage, Alaska), ISBN 0-7803-6565-8, (TM3-2)1-20(2000).
   Preprints: (PDF),(PS), Abstract available in (HTML) format.
9. "A Comparison of Local and Global Projections in Design Sensitivity Computations," (with D. Stewart), Computational Methods in Optimal Design and Control (Proceedings of the AFOSR Workshop on Optimal Design and Control, September 30-October 3, 1997, Arlington, VA), J. Borggaard, J. Burns, E. Cliff, and S. Schreck, eds., Vol. 24 of the series Progress in Systems and Control Theory, Birkhauser, pages 361-373 (1998).
   Preprints: (PDF), PS), Abstract available in (HTML) format.
10. "Pressure Tube Modeling Problem" (with H. Chen, A. Hatch, G. Peters, L. Pritchett and A. Shcheprov), Proceedings of the Industrial Mathematics Modeling Workshop (Proceedings of the 1997 Industrial Mathematics Modeling Workshop for Graduate Students, August, 1998, Raleigh, NC) F. Reitich, J. Scroggs, H. Tran editors, 26-35 (1998).
    Preprints: (PDF), (PS), Abstract available in (HTML) format.
11. "A Projection Method for Accurate Computation of Design Sensitivities," (with J. Burns and D. Stewart), Optimal Control: Theory, Algorithms and Applications (Proceedings of the Conference on Optimal Control: Theory, Algorithms and Applications, February 27-March 1, 1997, University of Florida, Gainesville, FL) W. Hager and P. Pardalos, eds., Vol. 15 of the series Applied Optimization, Kluwer Academic Publishers, 40-66, (1998).
    Preprints: (PDF), (PS), Abstract available in (HTML) format.

• Taught College Algebra and Elementary Calculus to freshman students.
• Taught MA1615 Mathematics for Elementary School Teachers to students planning to teach elementary school. This class also included a lab which I organized and supervised. As a teaching assistant, I also supervised the lab portion of MA1616 which was a continuation of the aforementioned class.
• Team-taught Introduction to Differential Equations to sophomore level engineering students. My duties included organizing tests, grading and one-third of the lecturing. I have also taught the course at MSU with full responsibility on a number of occasions. I acted as the Course Supervisor for all sections for two years.
• Taught Multivariate Calculus to sophomore level engineering, computer science, physics and mathematics students.
• Taught Numerical Linear Algebra and Optimization and Numerical Solution of Differential Equations to junior- and senior-level undergraduates in computer science and mathematics along with Master's- and Ph.D.-level mathematics, statistics,computer science and engineering students.
• Taught Applied Mathematics I and II to junior- and senior-level undergraduates in computer science and mathematics along with Master's- and Ph.D.-level mathematics, statistics,computer science and engineering students.

1. AMS-MAA Joint Mathematics Meeting, San Antonio, TX, January, 2006.
   
2. IEEE Conference on Decision and Control, Paradise Island, The Bahamas, December, 2004.
   
3. SIAM Annual Meeting, Portland, OR, July, 2004.
   
4. Argonne National Lab , Chicago, IL, March, 2004.
   
5. SIAM Conference on Computational Science and Engineering, San Diego, CA, February, 2003.
6. Argonne National Lab , Chicago, IL, August, 2002. (Invited Presentation)
7. SIAM Annual Meeting, Philadelphia, PA, July, 2002.
8. Pacific Northwest Numerical Analysis Seminar, Bellingham, Washington, September, 2001. (Invited Presentation)
9. IEEE International Federation on Information Processing 20th TC7 Conference on System Modelling and Optimization Trier, Germany, July, 2001.
10. Virginia Tech Mathematics Department Colloquium Talk, Blacksburg, VA, March, 2001. (Invited Presentation)
11. IEEE International Conference on Control Applications Anchorage, AL, Sept, 2000.
12. SIAM Annual Meeting, San Juan, PR, July, 2000.
13. Third International Conference on Nonlinear Problems in Aviation and Aerospace, Daytona Beach, FL, May, 2000.
14. 1999 ASME Mechanics and Materials Conference, Blacksburg, VA, June, 1999.
15. Sixth SIAM Conference on Optimization, Atlanta, GA, May, 1999.
    
16. Control and Computation VI, Montana State University, Bozeman, MT, August, 1998.
17. Fourth SIAM Conference on Control & Its Applications, Jacksonville, FLA, May, 1998.
18. University of Trier, Trier, Germany, March, 1998.
19. SIAM Annual Meeting, Kansas City, MO, July, 1996.

• PETSc Short Course and Domain Decomposition 16
  New York, NY, January 2005.
• Multiscale Model Development and Control Design
  Raleigh, NC, January 2004.
• Flow Control for Agile Autonomous Flight
  Shalimar, FL, March 2003.
• ICAM Workshop on Control and Identification
  Blacksburg, VA, September 2002.
• International Conference on Technology in Collegiate Mathematics
  Atlanta, GA, November 2000.
• GTA Seminar: Preparation for Teaching, sponsored by
  CEUT (Center for Excellence in Undergraduate Teaching)
  Virginia Tech, Spring Semester, 1999.
• C++ Short Course
  Blacksburg, VA, July 1998.
• AFOSR Workshop on Optimal Design and Control
  Washington, DC, October 1997
• Industrial Mathematics Modeling Workshop
  Raleigh, NC, August 1997.
• Short Course on Optimal Control in Engineering Design
  Clemson, SC, March 1996.

• Society for Industrial and Applied Mathematics (SIAM)
• American Mathematical Society (AMS)

• Teaching and Learning Fellow, 2-year university program sponsored by Big Sky Institute, Fall 2000-Spring 2001
• Air Force AASERT Fellowship (Virginia Tech, 1997-1999)
• Multidisciplinary Analysis and Design (MAD) Fellowship (Virginia Tech, Spring 1996)
• Pi Mu Epsilon (VPI, Mathematics Honor Society, 1994)
• Graduated Summa Cum Laude (UVA-Wise, 1992)
• Theo Gibson Scholarship (UVA-Wise, 1992)
• Sigma Zeta (Mathematics Honor Society, 1992)
• Darden Society (UVA-Wise Honor Society, 1992)

Last Updated: August 20, 2002