3. (a) (b) Compute the upper bound of the error using Cauchy's Theorem for f(x) = sin² (r/2) with nodes {-/3,0,7/3} within the interval [-1.2, 1.2]. Why are Chebyshev nodes an optimal choice in Interpolation?
3. (a) (b) Compute the upper bound of the error using Cauchy's Theorem for f(x) = sin² (r/2) with nodes {-/3,0,7/3} within the interval [-1.2, 1.2]. Why are Chebyshev nodes an optimal choice in Interpolation?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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