Chapter 07.02 Trapezoidal Rule Multiple Segment Rule Error Example

Multiple Segment Trapezoidal Rule of Integration (CHAPTER 07.02)

Composite Trapezoidal Rule Error: Example

Summary

After watching this video, via an example, you will be able to use the formula for the true error in the composite trapezoidal rule. You will see how the true error is approximately inversely proportional to the square of the number of segments.

Learning Objective

This video discusses the error in the composite trapezoidal rule via an example. Figure out why the true error approximately quarters when the number of segments is doubled.

Transcript

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All Videos for this Topic

Trapezoidal Rule Derivation [YOUTUBE10:51]

Trapezoidal Rule: Example [YOUTUBE 7:18]

Trapezoidal Rule Multiple Segment Rule: Motivation [YOUTUBE 4:53]

Trapezoidal Rule Multiple Segment Rule: Derivation [YOUTUBE 7:48]

Trapezoidal Rule Multiple Segment Rule: Example: Part 1 of 2 [YOUTUBE 8:17]

Trapezoidal Rule Multiple Segment Rule: Example: Part 2 of 2 [YOUTUBE 3:41]

Trapezoidal Rule Multiple Segment Rule: Error Derivation [YOUTUBE 8:46]

Trapezoidal Rule Multiple Segment Rule: Error Example [YOUTUBE 8:52]

Method of Undetermined Coefficients: Trapezoidal Rule Derivation [YOUTUBE 10:00]

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