Publications

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.