Antonio Palacios

OBJECTIVES:

Teaching and researching in Applied Mathematics and/or Computer Science

EDUCATION:

Ph.D. in Applied Mathematics (1995), Arizona State University Advisor: Eric Kostelich, Thesis: The Dynamics of Cellular Flames Specialization: Nonlinear Dynamical Systems and Chaos, Bifurcation Theory, ODE's.

M.S. in Computer Science (1994), Arizona State University Specialization: Computer Graphics, Computer Aided Geometric Design, NURBS.

M.N.S. in Computational Mathematics (1990), Arizona State University Specialization: Numerical Analysis, Numerical Methods for ODE's and PDE's.

B.S. in Computer Science (1986), La Salle University

RESEARCH EXPERIENCE:

Postdoctoral Research Fellow (1996-Present), University of Houston Physics Department and Mathematics Department *Currently investigating the characterization of the spatiotemporal complexity exhibited by flame patterns using video images from a combustion experiment and numerical simulations from a PDE model.

Research Associate (June 1995-May 1996), Computer Graphics Laboratory, Hewlett-Packard Co. *Investigated and implemented computer graphics algorithms for image processing and scientific visualization of volumetric data.

Research Assistant (1993-1995), Dept. of Mathematics, Arizona State University *Developed a computational technique for extracting and tracking cell boundary motion in flame patterns. *Used numerical methods and computer graphics to simulate and animate the motion of a perturbed spherical pendulum. *Derived a mathematical model to incvestigate voltage accomodation in spatially unrestricted neuronal cables. *Wrote a software package to animate the solutions of the model.

TEACHING EXPERIENCE:

Postdoctoral Research Fellow (1996-Present), University of Houston Physics Department and Mathematics Department *Taught Elementary Functions (150 students) and Linear Algebra.

Teaching Assistant (1988-1994), Dept. of Mathematics, Arizona State University *Taught Algebra, Trigonometry, Precalculus and Calculus, to both small and large sections (approx. 30-40 students and 90-120 students). *Taught Calculus under the Harvard Calculus Consortium. Responsibilities: Lecturing, tutoring, designing computer assignments, advising.

RESEARCH INTERESTS:

Analysis, modeling and visualization of nonlinear phenomena and chaos.

Control of nonlinear dynamical systems.

Computer Graphics and Computer Aided Geometric Design

Mathematical biology

TEACHING INTERESTS:

I am particularly interested in the use of computer technology for teaching:

Calculus.

Ordinary Differential Equations.

Dynamical systems and bifurcation theory.

PUBLICATIONS AND POSTERS:

A. Palacios, D. Armbruster, E. Kostelich, E. Stone, Analyzing the dynamics of cellular flames, Physica D (1996) 132-161.

A. Palacios, L. Gross, A. Rockwood, Dynamics and chaos: the spherical pendulum, Comp. Graphics Forum 15, no. 4, (1996) 263-270.

A. Palacios, G. Gunaratne, M. Gorman, K. Robbins, Cellular pattern formation in circular domains, Submitted: Chaos, March 1997.

A. Palacios, G. Gunaratne, M. Gorman, K. Robbin, A Karhune-Loeve analysis of spatiotemporal flame patterns, In preparation.

D. Zhang, G. Wei, D. Kouri, D. Hoffmann, M. Gorman, G. Gunaratne, A. Palacios, Soling the Kuramoto-Sivahinsky equation in a circular domain. In preparation.

A. Palacios, G. Gunaratne, M. Gorman, K. Robbins, Poster: A Karhune-Loeve analysis of spatiotemporal flame patterns, presented at the Fourth SIAM Conference on Applications of Dynamical Systems, May 1997.

A. Palacios, D. Armbruster, E. Kostelich, E. Stone, Poster: Dynamics of flames, presented at the DOE Applied Mathematics Workshop, Sandia National Laboratory, February 1995.

HOBBIES:

Gymnastics!!!!