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May 21, 2011 at 1:17 comment added Nilima Nigam Both Gaussian quadrature and the Runge phenomenon are great to include, for many reasons. I also like to first present an example and then prove, the excellent performance of the Trapezoidal rule on smooth periodic functions, when integrating over the period. For example, $\int_0^{2\pi} \exp{cos(x)} \,dx$ is approximated well, but $\int_0^{\pi} \exp{cos(x)} \,dx$ is not.
May 20, 2011 at 16:35 vote accept Nilima Nigam
May 20, 2011 at 16:35
May 20, 2011 at 16:11 comment added MRB The course website is staff.science.uva.nl/~rstevens/numwisk12010.html It's in Dutch but it contains the numbers of the sections covered. The parts of the course I liked most were Gauss quadrature and the Runge phenomenon.
May 20, 2011 at 2:15 comment added Nilima Nigam Thanks- I know and like the book a lot! What would be useful is a link to a one-semester undergraduate course based on it.
May 19, 2011 at 19:20 history answered MRB CC BY-SA 3.0