srule.m

关于数值计算的matlab程序代码,包含了很多的实用的算法.程序全部可以直接用的,有详细的英文注释.

function Z=srule(f,a0,b0,tol0)

%Input   - f is the integrand input as a string 'f'
%        - a0 and b0 are upper and lower limits of integration
%        - tol0 is the tolerance
% Output - Z is a 1 x 6 vector [a0 b0 S S2 err tol1] 

%  NUMERICAL METHODS: Matlab Programs
% (c) 2004 by John H. Mathews and Kurtis D. Fink
%  Complementary Software to accompany the textbook:
%  NUMERICAL METHODS: Using Matlab, Fourth Edition
%  ISBN: 0-13-065248-2
%  Prentice-Hall Pub. Inc.
%  One Lake Street
%  Upper Saddle River, NJ 07458

h=(b0-a0)/2;
C=zeros(1,3);
C=feval(f,[a0 (a0+b0)/2 b0]);
S=h*(C(1)+4*C(2)+C(3))/3;
S2=S;
tol1=tol0;
err=tol0;

Z=[a0 b0 S S2 err tol1];