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Questions on the use of numerical functions NIntegrate and NDSolve.
0
votes
1
answer
248
views
Why would NIntegrate give a negative value for this strictly-positive integrand?
NIntegrate[
Exp[Log[(a/3 - c/3) (a/3 - b/2 + c/6) (a/3 + b/2 + c/6)] +
1/2 (-((15 a^2)/4) - (15 b^2)/4 - (5 c^2)/4)] Boole[
c >= b >= 0] Boole[c >= a], {a, -Infinity, Infinity}, {b, 0,
I …
4
votes
1
answer
124
views
Same integral, NIntegrate gives two different results?
They're the same integral - the bottom integral is simply the top one split up using the identity $\log(xy) = \log(x) + \log(y)$. But the results aren't the same. Why?
Code for top integral:
NInte …
4
votes
2
answers
286
views
Why do I get "PrincipalValue cannot work with the specified exclusions" when feeding a list ... [closed]
I have the following test function which I want to evaluate at various points from $x=0$ to $5$:
$f(x) = \int^{20}_{1}\frac{1}{x-y} dy$
There's clearly a singularity here in the integral at $x=y$, w …