Integral3 is taking forever to finish computing integral

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Jr123
Jr123 2021-8-4
评论： Walter Roberson 2021-8-14
I have the following code:
fun = @(x,y,z,r,s,t) log((r.*s.*t).^2+1-2.*r.*s.*t*cos(x+y+z)).*cos(x+y+z)./(r.*s.*t);
A=integral3(@(r,s,t)arrayfun(@(r,s,t)integral3(@(x,y,z)fun(x,y,z,r,s,t),0,2*pi,0,2*pi,0,2*pi),r,s,t),1.01,100,1.01,100,1.01,100);
%B=integral3(@(r,s,t)arrayfun(@(r,s,t)integral3(@(x,y,z)fun(x,y,z,r,s,t),0,2*pi,0,2*pi,0,2*pi),r,s,t),0.1,.9,0.1,.9,0.1,.9,);
A
The value of A is not showing up even after half an hour. I wonder if there's something wrong with my code or it's just that this nested integral really takes some time to compute. Any help is greatly appreciated. Thanks!

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回答（1 个）

Walter Roberson
Walter Roberson 2021-8-4
编辑：Walter Roberson 2021-8-4
The nested integral (6 total levels) just takes a long time to compute.
  1 个评论
Walter Roberson
Walter Roberson 2021-8-14
I have had the calculation going for the last 10 days, but it shows no sign of being finished any time soon.

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