三维高斯积分的求解步骤和代码

Question

三维高斯积分，用两个坐标积分点和三个坐标积分点的代码

Answer 1

你好，代码供参考

%两个积分点
P = [-1/sqrt(3), 1/sqrt(3)];%积分点
W = [1,1];%权函数
F = @(x,y,z)x^2+y^2+z^2;%比如说将F的xyz都从-1积分到1
s = 0;
for i = 1:numel(P)
for j = 1:numel(P)
for k = 1:numel(P)
s = s + F(P(i), P(j), P(k))*W(i)*W(j)*W(k);
end
end
end
s

结果：s =

8.000000

%三个积分点
P = [-sqrt(0.6), 0, sqrt(0.6)];%积分点
W = [5/9, 8/9, 5/9];%权函数
F = @(x,y,z)x^2+y^2+z^2;%比如说将F的xyz都从-1积分到1
s = 0;
for i = 1:numel(P)
for j = 1:numel(P)
for k = 1:numel(P)
s = s + F(P(i), P(j), P(k))*W(i)*W(j)*W(k);
end
end
end
s

结果：s =

8.000000
答题不易，有帮助望采纳呢