AME 40510: Documents

Predictions of storm surge near New Orleans, Louisiana, from Hurricane Betty, 1965. Image generated at Notre Dame and reproduced from Westerink and Luettich, Civil Engineering Magazine, June 2003.

AME 40510

Introduction to Numerical Methods

Documents

Numerical Recipes
March 2004 article by Leo Kadanoff on computer simulation
December 2004 SIAM review article on Runge-Kutta methods' failure
4 March 2003 New York Times op-ed on computational science
SIAM review article Derivation of Numerical Methods Using Computer Algebra
Cubic spline example, Mathematica format
example f77 program which uses an IMSL routine to calculate a numerical solution to a simple 2nd order differential equation.
Sample LaTeX document, sample.tex
Sample eps figure, sample.figure.eps
Compiled sample LaTeX file sample.pdf
Sample LaTeX document for people who use pdflatex (This is the default for MikTeX and TeXShop) sample2.tex
Sample pdf figure for people who use pdflatex sample_figure.pdf
Compiled sample LaTeX file via pdflatex sample2.pdf
feuler.m: matlab code to solve model ODE problem with forward euler method.
beuler.m: matlab code to solve model ODE problem with forward euler method.
rk2.m: matlab code to solve model ODE problem with 2nd order Runge-Kutta method.
rk4.m: matlab code to solve model ODE problem with 4th order Runge-Kutta method.
ab.m: matlab code to solve model ODE problem with 2nd order Adams-Bashcroft method.
linear.system.nb: mathematica code which solves for a linear system of ODE's, checks its eigenvalues, and considers stability of the discrete explicit system.
compiled version of sample LaTeX file in postscript (.ps) format

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