0
votes
0answers
39 views

How to make an effective use of Mathematica to evaluate integrals, series, recognize closed forms, and do other manipulations [on hold]

I would like to know if there are resources to learn how to use the functions of Mathematica in the most effective way in order to evaluate difficult integrals and series or find possible closed forms ...
4
votes
2answers
398 views

Any ideas on how GeneralMiniMaxApproximation is implemented?

GeneralMiniMaxApproximation is used to construct minimax approximations of parametrically defined functions. I am curious about how ...
12
votes
1answer
2k views

What method does NDSolve use for solving PDEs?

What is NDSolve's mode of operation? I use it to solve partial differential equations and never gave it too much thought. Recently, I came across this question. ...
36
votes
1answer
2k views

Adaptive sampling for slow to compute functions in 2D

EDIT: Although I have posted an answer based on my current progress, this in incomplete. Please see the "open issues" section in the answer. Most plotting functions in Mathematica adjust the ...