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<div class="moz-cite-prefix">On 10/26/21 5:46 PM, wrote:<br>
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<p class="MsoNormal">Good evening Dr. Pounds,<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">I just wanted to confirm the question I
asked earlier today.
<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">For the First derivative of the function
question:<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">Are you asking us to use one of the
mid-point derivative formulas (three or five-point) and plug
that into Richardson’s extrapolation, or are you asking us to
use the central divided differences formula from chapter 3 and
plug those into Richardson’s extrapolation?<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">Thank you for your
time,
<o:p></o:p></p>
<p class="MsoNormal"><br>
<o:p></o:p></p>
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<p>The extrapolation terms for the Richardson's extrapolation method
(equation 16) has a denominator that is based on using the central
difference approximation (equation 13 in the slides). Hopefully
that answers your question.<br>
</p>
<pre class="moz-signature" cols="72">--
Andrew J. Pounds, Ph.D. (<a class="moz-txt-link-abbreviated" href="mailto:pounds_aj@mercer.edu">pounds_aj@mercer.edu</a>)
Professor of Chemistry and Computer Science
Director of the Computational Science Program
Mercer University, Macon, GA 31207 (478) 301-5627
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