White papers

:: Recursive Taylor Series (PDF)

:: Managing Supply-Chain Risk (requires Flash)

:: Multi-Objective Programming (requires Flash)

:: Lagrangian Relaxation (requires Flash)

:: Natural Cubic Splines (PDF)

:: Hermite Curves (PDF)

:: Quadratic Beizer Curves (PDF)

:: Cubic Bezier Curves (PDF)

:: Catmull-Rom Splines (PDF)

:: Curve-Constrained Scrolling Via Script (PDF)

:: Arc-Length Parameterization (PDF)

:: Recursive Subdivision (PDF)

:: Composite Bezier Curves (PDF)

**Post-Graduate Publications**

Armstrong, J., Mulvey, J., and Rothberg, E., **TIRM: Total Integrated Risk Management**, RISK Magazine, special supplement on controlling risk – June 1995, pp. 28-30.

Armstrong, J., **LARGE: Lagrangian Relaxation with Genetic Enhancement: Part I: Mathematical Preliminaries**, working draft Dec. 1995, Silicon Graphics Advanced Systems Division. Updated version available here.

Armstrong, J., **Implementing a 3D, Explicit Finite Difference Operator on a Massively Parallel Machine**, MASPAR technical report TR003.0692, June 1992.

Armstrong, J., **Algorithm and Performance Notes for Block LU Factorization**, proceedings of 1988 International Conference on Parallel Processing, Penn State University Press, University Park, PA.

Armstrong, J., **A Multi-Algorithm Approach to Very High Performance One-Dimensional FFT’s**, Journal of Supercomputing, Volume 2, No. 4, Dec. 1988.

Armstrong, J., **Optimization of Householder Transformations, Part I: Linear Least Squares**, proceedings of 1987 International Conference on Parallel Processing, Penn State University Press, University Park, PA.

**Undergraduate**

**Physics and Mathematical Modeling** – placed 1st in Southwest Regional Mathematical Sciences Competition, 1981

**Advanced Transformation Techniques for Special Relativity** – placed 2nd in Southwest Regional Mathematical Sciences Competition, 1982

**PHASER: A CADCAM Program** – placed 1st in Southwest Regional Mathematical Sciences Competition, 1983

**A Variable Order Taylor Series Method for Nonlinear, Six-Degree-of-Freedom, Stability and Control Problems** – placed 1st (oral presentation category) in Southwest Region AIAA Student Paper Competition, 1984.

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