Re: Write a computer program to using Simpson's rule

*To*: mathgroup at smc.vnet.net*Subject*: [mg74045] Re: [mg74016] Write a computer program to using Simpson's rule*From*: Daniel Lichtblau <danl at wolfram.com>*Date*: Wed, 7 Mar 2007 03:14:41 -0500 (EST)*References*: <200703061028.FAA01952@smc.vnet.net>

Evanescence wrote: > Hello Dear all: > My questions are as follows: > First I definite as follows functions. > B[=A3f_, =A3b_] function of =A3f, =A3b > A[=A3f_, =A3b_] function of =A3f, =A3b > F[=A3f_] function of =A3f > G[=A3f_] function of =A3f > K[=A3i_, =A3f_] function of =A3i, =A3f > Z[=A3f_] function of =A3f > U[=A3f_] function of =A3f > > Then I want to write a computer program about Simpson's 1/3 rule that > can express below function > L[=A3b_, =A3i_] :=(1/3)*((16-0)/32)*(0+4(((1/2)*K[=A3i, 1/2] )*(B[1/2, > =A3b]*F[1/2]*(Z[1/2])+2*( A[1/2, =A3b]-B[1/2, =A3b]*G[1/2])*U[1/2]))+2 > (((1)*K[=A3i, 1] )*(B[1, =A3b]*F[1]*(Z[1])+2*( A[1, =A3b]-B[1 =A3b]*G[1])*U= > [1])) > +4(((3/2)*K[=A3i, 3/2] )*(B[3/2, =A3b]*F[3/2]*(Z[3/2])+2*( A[3/2, =A3b]-B[3= > /2, > =A3b]*G[3/2])*U[3/2])) > +2(((2)*K[=A3i, 2] )*(B[2, =A3b]*F[2]*(Z[2])+2*( A[2, =A3b]-B[2, > =A3b]*G[2])*U[2])) > +=2E....................................................................... > +(((16)*K[=A3i, 16] )*(B[16, =A3b]*F[16]*(Z[16])+2*( A[16, =A3b]-B[16, > =A3b]*G[16])*U[16]))) > > the 16 is upper limit of integration > and the 0 is lower limit of integration > subdivision is 1/2 > > I want to write a computer program using the Simpson's rule that can > choose the subdivision by myself(maybe can choose 0.001 or 0.002 > etc...)and upper and lower limit can choose by myself too,final can > express the above function. > > Thank you > Evanescence 2007 03 06 I don't know if you can read this, but in my email (Firefox Mozilla, fonts set to Unicode UTF-8) the fonts are garbled. Unreadably garbled. Daniel Lichtblau Wolfram Research [I am considering rejecting emails that contain this sort of thing as well as html or other attachments and ask the author to resend. I will send out a post about this shortly - moderator]

**References**:**Write a computer program to using Simpson's rule***From:*"Evanescence" <origine26@yahoo.com.tw>