Mandelbrot Set

Supercomputer Applications
A Course in Computational Science
Supercomputer Applications is a halfcredit semester
course with a suggested AP computer science corequisite. Students will
explore computational science and high performance computing using
various scientific visualization techniques. Working in a UNIX
environment with full Internet access, students will solve problems using
the C++ programming language, and will display graphics using
OpenGL commands. Students will experiment with parallel computing on
various UNIX systems using PVM as well as a LINUX cluster.
Properly documented programs are
to be submitted electronically, and students
are also expected to
present examples of their work with appropriate discussion
in a web page format.

Goals:
The student in Supercomputer Applications will
 write properly documented, well structured programs
emphasizing computer graphics using OpenGL in the
language C or C++.
 learn fundamentals of the UNIX operating system and
use of Internet resources as applied to computational
science.
 investigate algorithm design considerations related to
high performance computing while running programs
using PVM (Parallel Virtual Machine) and the LINUX Cluster.
 study computationally intensive problem solving
techniques while investigating dynamical systems,
chaos, fractals, and ray tracing.
 develop projects using scientific visualization techniques to
help analyze large data sets.
 present research projects in a webbased format using HTML,
PHP, and various graphics tools.

Mandelbrot Detail

Course Sequencing

Spring Semester 2002
The following notes pertain to the spring 2002 semester course in Supercomputer
Applications. Because our class will be involved in a special project
with Advanced Network and Services called
Imagining the Future,
The sequence of topics that we will cover will be slightly different but
we will cover the same materials. This website is being redesigned, so
therefore exact due dates, unit sequences, and project requirments
will be discussed in class and eventually
reflected in this web site.
Students who will be continuing with advanced topics into the second semester
will have different objectives. Those will be appended to the end of each project unit.
 Imagining the Future: Projects in the Competition
And the winner is... Glimmersion
Fall Semester 2001
The original web page showing the units from last semester can be found here:
Fall 2001
Class Notes and Related Web Pages
Course Content:
A. OpenGL Graphics as Part of the C or C++ Languages
 Basic Windowing Operations in a UNIX Environment
2D Graphing Commands, Plotting in 3D
Orthographic Projection and Perspective
Wireframe Models and Surfaces
Mouse and Keyboard Routines
Transformation Matrices: PushMatrix, PopMatrix, Rotation, Translation, and Scaling
Animation and Double Buffering
GLUT: Polygon Models, Objects, Surface Normals, and Lighting
B. Investigating Dynamical Systems, Fractals, and Chaos
 Simple Chaos:
Iteration, Logistic Equation, Bifurcation, Twist &
Flip Paradigm, Lorenz Attractor
Fractals:
Mandelbrot Set, Julia Sets, Newton's Method, and LSystems
C. Supercomputer Access in a UNIX Environment

Basic UNIX Skills:
 Commands, Online Help (man pages), File Access, Editing,
Compiling, UNIX Scripts
Web Page Skills:

Basic HTML,
Making a Web Page,
PHP and Perl, MySQL and
Databases
Graphics Files:

File Formats
(PPM, PGM, Targa, Gif, Jpeg),
Graphics Manipulation using xv,
Dynamic Graphs with GNU Plot,
Making an Animated GIF, the Gimp
Network and Internet Skills:

Unix Sockets
Parallel Computing:

Parallel Virtual Machine (PVM),
The Linux Cluster,
Algorithm Design
D. Introduction to Ray Tracing

Using POVRay (Persistence of Vision Ray Tracer)
Ray Tracing and Animation
E. Introduction to Computational Science and Computer Simulation Techniques

Getting Started with
Supercomputing, Scientific Visualization Strategies

Trajectory Simulation:
 Prototype Development, Model
Validation, Graphics Visualization, Supercomputer Assistance
Gypsy Moth Simulation:
 Biological Model, Finite State Automaton Techniques
Random Walk:
 Discrete Limited Aggregation Model of Crystal Growth
Primary Texts:

Chaos, Fractals, and Dynamics: Computer Experiments in
Mathematics,
Robert L. Devaney, AddisonWesley, 1990.
ObjectOriented Programming in C++, Second Edition, Robert
Lafore,
Waite Group Press, 1995.
OpenGL Programming Guide, Second Edition, Mason Woo, Jackie Neider, and Tom Davis, AddisonWesley Developers Press, 1997.
Resource Books:

Chaos and Fractals: New Frontiers of Science, HeinzOtto Peitgen, Harmut Jurgens, and Dietmar Saupe, SpringerVerlag, 1992.
Chaos: Making a New Science, James Gleick, Viking Press, 1987.
Instructor:
Donald W. Hyatt
dhyatt@tjhsst.edu
