[CSC 335] Centered Difference Approximation

[Andrew J. Pounds]

On 11/24/2017 12:49 PM, wrote:
>
> Hey Dr. Pounds,
>
>
> I'm trying to do the test, and I'm having trouble figuring out exactly 
> what you want for problem 3. I'm fine on Richardson's extrapolation, 
> but is central difference approximation the same thing as the 3 and 5 
> point midpoint formulas?
>

In my notes I called the central difference approximation. In the text 
it is equation 4.5.  They use is explicitly in example 2 of section 4.2

> If it is, we only went over up to 5 point midpoint formulas, which 
> have an error of O(h^4). I'm not even sure that a 7 point formula 
> exists (the book doesn't cover it), so how do I get to an accuracy of 
> O(h^6)?
>
>

Look at the table above Example 2 in section 4.2 and see if you can 
answer your own question.

> Thanks,
>
>

-- 
Andrew J. Pounds, Ph.D.  (pounds_aj at mercer.edu)
Professor of Chemistry and Computer Science
Mercer University,  Macon, GA 31207   (478) 301-5627
http://faculty.mercer.edu/pounds_aj

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