Fundamentals of Numerical Computation

These were provided by the authors.

Description: This toolbox contains all the functions from the textbook, as well as the source code for all of the examples that include code.

Added files from Dr. Herman's class:

Chapter 1
- Floating point worksheet - Flnumber.mlx
- Polyn;pomial evaluation - polyeval.mlx
- Conditioning and Stability - conditioning.mlx
Chapter 2
- LU Decomposition - LU_factorization.mlx,
  (needs lufact.m, forwardsub.m, backsub.m)
  See also LU_Decomposition.pdf
- BandedMatrices.mlx
Chapter 3
- DataFit.mlx, Data Sets: AtmosAlt.txt, SizeVel.txt
Chapter 4
- Roots of single variable functions - myroots.mlx
- Roots of nonlinear functions of several variables - Nonlinsys.mlx
- Nonlinear Least Squares - NonlinLeastSquares.mlx
- Interpolation Examples - InterpolationExamples.mlx
- NewtonSys Example - NewtonSysProblem6.mlx
- Levenberg Example - LevenbergHWellipses.mlx
- Mumbai Plague - ModelMumbaiPlague.mlx, Mumbai.m, misfit.m
Chapter 5
- Interpolation Homework - InterpHWCh5.mlx
- Finite Differences - FiniteDifferences.mlx,
- Derivation Using Interpolation in Maple - FiniteDifferences.mw
- Numerical Integration - EulerMaclaurin.mlx
- Simpson Rule - SimpsonRuleDerived.mw
- Richardson Extrapolation - RichardsonExtrapolation.mw, RichardsonExtrapolation.mlx
Chapter 6
- Euler's Method - Euler.mlx
- Euler for systems - Euler_2D.mlx
- Modified Euler and RK Methods - ModifiedEuler.mlx