Computational Science
Taught by Mike Davis, SGI, Hal Meyer, SGI, and Dick Morse, UNM
Topics:
modeling,
brute force,
given an equationfind the root(s),
numerical integration,
heat/fluid flow.
 modeling
 How do you model with computers?
 brute force
 Exhaustive searching, loops.
Example: Find all combinations of a pennies, nickels, dimes, quarters,
and half dollars that total up to $1.00.
Example 2: If the letter a was worth 1 point, b 2 points, ... z 26 points,
find several words that are worth 50 and 100 points.
 given an equationfind the root(s)

 Newton's Method
 Solving sets of linear equations, Gaussian elimination.
 RungeKutta for Ordinary Differential Equations
Example: solve f(x)=x^55x^4+13x^27x+8
or
simultaneous equations
 numerical integration

 Simpson's 1/3 Rule for even panels
 Simpson's 3/8 Rule for odd panels
 Newton Raphson method.
Example:
 heat/fluid flow
 Given a cube (three dimensional array), discuss how heat/fluid
might flow from one section to another. For accuracy, sections need
to be small and that's were a supercomputer is required. Discuss
possible formulas for substances and how those are applied to each cell.
Example:
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September 16, 1997
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