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

From Wikiversity
Jump to navigation Jump to search

Mtg 30: Mon, 14 Mar 11

page30-1




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)

 

page30-2

Pf of HOTRE p.29-2:


page30-3

Step2a: Some motivation

HW*5.8:

page30-4

Step2b:Intergration by parts

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










(recall P1 )

page30-5

Nm1.s11.Mtg30.pg5.fig1.svg

Summary, Steps2ab:











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

page30-6

step3b:Intergration by parts









(recall P1, P3 oddfuncs)

page30-7

Similar to (6)p.30-4:

Summar, Steps3ab:












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