1. %Gauss General, Voller, volle001@umn.edu, jan 2012
clear all
w=zeros(16,1); % column vector for storing up to 16 weights
g=zeros(16,1);% gauss points
tg=zeros(16,1);%transformed gauss
%3-point weights
w(1)=5./9;
w(2)=8./9;
w(3)=5./9;
%3-gauss points
g(1)=-sqrt(3./5);
g(2)=0;
g(3)=sqrt(3./5);
%integral limits
a=0;
b=1;
for jj=1:3 %transformed Gauss points
tg(jj)=(a+b)./2+(b-a)/2.*g(jj);
end
II=0;
for jj=1:3
II=II+w(jj).*exp(-(tg(jj).^2)./2);
II=II*(b-a)/2
%Gauss Basic, Voller, jan 2012
clear all
w1=5./9;
w2=8./9;
w3=5./9;
g1=-sqrt(3./5);
g2=0;
g3=sqrt(3./5);
a=0;
b=1;
tg1=(a+b)./2+(b-a)/2.*g1;
tg2=(a+b)./2+(b-a)/2.*g2;
tg3=(a+b)./2+(b-a)/2.*g3;
II=0;
II=II+w1.*exp(-(tg1.^2)/2);
II=II+w2.*exp(-(tg2.^2)/2);
II=II+w3.*exp(-(tg3.^2)/2);
II=II*(b-a)/2