sommese@nd.eduExam 1: Take home test, Due October
1.
Exam 2: Take home test, Due November 12. Answers.
Final: Take home test, Due Monday, December 10.
Cancellation.pdf: Loss of digits due to taking
differences.
Newton.pdf: Newton’s Method.
RichardsonExtrapolation.pdf: First look at Richardson Extrapolation.
LagrangeFunctions.pdf: Lagrange basis functions.
VandermondeMatrix.pdf: First look at the Vandermonde
matrix.
RungeFunction.pdf: Interpolation for the Runge function.
NewtonCotesFormulae.pdf: First look at Newton-Cotes formulae.
RungeErrorControlForIntegration.pdf: Runge Error Control.
GaussianIntegration.pdf: Gaussian Integration with a weight function.
BSplines.pdf: B-Splines.
EulerAndModifiedEulerAndRungeKutta.pdf: Euler’s Method, the Modified Euler Method, and the Runge-Kutta Method.
Lorenz.pdf: Lorenz Butterfly.
Lorenz.mw: Lorenz Butterfly.
Answers.pdf: Answers to Test 1.
PolySolver.pdf: Very simple polynomial solver.
Newton2D.pdf: Two-dimensional Newton’s method and Griewank’s example.
Shooting.pdf: Shooting Method (W. Hao) .
linear_ODE.pdf: Linear ODEs (W. Hao).
fdiff3.pdf: Linear ODEs (T. McCoy).
fdiff6.pdf: Linear ODEs (T.McCoy).
SVD_Schur_QR.pdf: Some Matrix Decompositions.
Galerkin.pdf: Galerkin Example.
Griewank.pdf: Griewank’s Example of a polynomial system root that Newton’s method cannot reach.
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here to go to the SIAM home page. SIAM (the Society for Industrial and
Applied Mathematics) is the main applied math organization and has a lot of
information about applied math and possible careers in the discipline).