Question 1: (a) Consider the n-point Newton-Cotes quadrature rule n [^ f(x)dx ~ Σ wif(xi). i=1 (1) Give the general form of the expected error term. By considering a constant function, show that n Σω; = h. i=1
Question 1: (a) Consider the n-point Newton-Cotes quadrature rule n [^ f(x)dx ~ Σ wif(xi). i=1 (1) Give the general form of the expected error term. By considering a constant function, show that n Σω; = h. i=1
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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Transcribed Image Text:Question 1:
(a) Consider the n-point Newton-Cotes quadrature rule
n
[^ f(x)dx ~ Σ wif(xi).
i=1
(1)
Give the general form of the expected error term. By considering a constant function,
show that
n
Σω; = h.
i=1
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