University of Florida/Egm6321/f09.team1.gzc/Mtg30

Mtg 30: Mon, 14 Mar 11

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HW*5.6:See HW*2.4 p.7-3, HW*5.4, p.29-6

Compare In using CTk (n),

8,16,... until error I-In=Q(10-6).

HW*5.7:Discuss ppros and cons of intergration methods

1)Taylor series3)Compare Simpson5)CTk(n)

2)Compare Trap.4)Romberg(Richardson)

 

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Pf of HOTRE p.29-2:


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Step2a: Some motivation

HW*5.8:

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Step2b:Intergration by parts

Pb: cancel terms withg(2) (evenorder derivation of g, i.e., odd power of h ;  here  h3)










(recall P1 )

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Summary, Steps2ab:











step3a: (3)&(5) p.30-4 ; intergration by parts

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step3b:Intergration by parts









(recall P1, P3 oddfuncs)

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Similar to (6)p.30-4:

Summar, Steps3ab:












Compare to first part in(5)p.30-5