question on video Lecture 27

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Alex

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Dec 30, 2019, 6:23:44 AM12/30/19
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On page 12, for 1d unit interval problem why dim(A)=1/h? rather than 1/h+1?

Wolfgang Bangerth

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Dec 30, 2019, 9:14:27 AM12/30/19
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On 12/30/19 4:23 AM, Alex wrote:
> On page 12, for 1d unit interval problem why dim(A)=1/h? rather than 1/h+1?

Fair question -- I should have said
dim(A) = (1/h)+1 \approx 1/h
In most of numerical analysis, we really are only interested in asymptotic
statements "if h is very small" or "if N is large". In those cases,
1/h
and
1/h + 1
are the same.

Best
W.


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Wolfgang Bangerth email: bang...@colostate.edu
www: http://www.math.colostate.edu/~bangerth/

Alex

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Dec 30, 2019, 7:50:26 PM12/30/19
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Thank you!
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