Chapter 3 Interpolation - MIT OpenCourseWare
[5; 5], as N!1. See the Trefethen textbook on page 44 for an illustration of the Runge phenomenon. (Figure here) If we had done the same numerical experiment for x2[1; 1], the inter-polant would have converged. This shows that the size of the interval matters. Intuitively, there is divergence when the size of the interval is larger than the
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