Given the following numerical integration estimates with error O(h²): h 0.5 0.25 0.125 O(h) Estimate = Use Romberg Integration to find two estimates with error O(h¹), and one estimate with error O(hó). Input your answer to four decimal places. First Estimate of O(h4) = 245.8137 Second Estimate of O(h4) = Estimate Integral Estimate Error Type 66.7692 0(h²) coarse 63.2894 0(h²) fine 62.4571 0(h²) finer

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Given the following numerical integration estimates with error O(h²):
h
O(hó) Estimate=
0.5
0.25
0.125
Integral
Estimate
Estimate
Type
66.7692 0(h²)
coarse
63.2894 0(h²)
fine
62.4571 O(h²) finer
Error
Use Romberg Integration to find two estimates with error O(h¹), and
one estimate with error O(hó).
Input your answer to four decimal places.
First Estimate of O(h4) = 245.8137
Second Estimate of O(h4) =
Transcribed Image Text:Given the following numerical integration estimates with error O(h²): h O(hó) Estimate= 0.5 0.25 0.125 Integral Estimate Estimate Type 66.7692 0(h²) coarse 63.2894 0(h²) fine 62.4571 O(h²) finer Error Use Romberg Integration to find two estimates with error O(h¹), and one estimate with error O(hó). Input your answer to four decimal places. First Estimate of O(h4) = 245.8137 Second Estimate of O(h4) =
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