9
$\begingroup$

Mathematica has the neat feature to sample the domain of a plot function adaptively, using recursion on a mesh in the function's domain. The set of initial points is controlled by PlotPoints, the maximum number of recursions by MaxRecursion. The automatic recursion stops when some pre-defined accuracy limit is reached. Now I want the recursion to become more accurate than it is with the standard settings. For this, neither a larger number of PlotPoints is appropriate, because is increases the mesh density everywhere, nor a larger number of MaxRecursion, because the recursion automatically stops as the algorithm thinks the result is accurate enough. Which option do I need to change in order to increase the desired accuracy of the recursion?

$\endgroup$
1
7
$\begingroup$

Thanks to one comment, I found a satisfactory solution: The recursion accuracy can be adjusted using Method -> {Refinement -> {ControlValue -> 0.05}}, where smaller values lead to a better accuracy and a finer mesh.

An example of 3D plots with lower and higher accuracy:

Plot3D[Exp[-x^2 - y^2], {x, 0, 3}, {y, -3, 0}, PlotRange -> Full,
  Mesh -> All, PlotPoints -> 5, MaxRecursion -> 5]
Plot3D[Exp[-x^2 - y^2], {x, 0, 3}, {y, -3, 0}, PlotRange -> Full, 
  Mesh -> All, PlotPoints -> 5, MaxRecursion -> 5, 
  Method -> {Refinement -> {ControlValue -> 0.05}}]

enter image description here

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.