Group: | Mathematical Functions |
Topic: | Integration |
See also: |
Function: | simpsonint | |
Description: | simpsonint computes the integral of a given realvalued function about a d-dimensional cube [a_1,b_1] x ... x [a_d,b_d]. The method of simpson is used. |
Usage: | y = simpsonint (func, a, b, m) | |
Input: | ||
func | text, name of the procedure where the function is defined | |
a | d vector, containing the begining points of the intervals. | |
b | d vector, containing the end points of the intervals. | |
m | d vector, 2 * m(i) is the number of subintervals in the i-th dimension. | |
Output: | ||
y | scalar, value of the integral |
proc(y) = fun(x) y=sum(x^3) endp a = #(0,0) b = #(1,2) m = #(3,6) simpsonint("fun",a,b,m)
Contents of simpson [1,] 4.5