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Questions on the use of numerical functions NIntegrate and NDSolve.

3 votes

Compute area enclosed in a curve on a surface

As long as I've transcribed h correctly, I think this might be a case of just tidying up your integrand before putting it into NIntegrate. All I do is use Simplify. A = 0.1; Clear[x,y]; h[x_, y_] := …
thorimur's user avatar
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2 votes
Accepted

What's wrong with SetDelayed? The body of the function works alone, while setdelayed to it a...

This is actually nontrivial: it has to do with how Mathematica manages scope after substituting in values that match a pattern (as in applying :=). By inspecting poincare[sol, 1] // TracePrint, we see …
thorimur's user avatar
  • 9,080
3 votes
Accepted

1D Integral always evaluates to 0 and Replace All

You're right that it's a delayed evaluation problem! I traced the problem back to Eigenvectors. Note that it behaves differently when given symbolic arguments and numeric ones: Eigenvectors[hMf[0.01, …
thorimur's user avatar
  • 9,080