Questions tagged [precision-and-accuracy]
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662 questions
0 votes
0 answers
50 views
6 votes
1 answer
241 views
Plot of $x^{\epsilon}|\log{x}|$ near zero
Fix $\epsilon\in (0,1)$. It is an elementary fact of calculus that $$\lim_{x\to 0^{+}} x^{\epsilon}|\log{x}|=0.$$ When I plot the function $x^{\epsilon}|\log{x}|$ using Mathematica 13.2 I see a blowup ...
- 171
4 votes
2 answers
370 views
Fluctuating results with NIntegrate
I've been trying to calculate an integral using NIntegrate as follows. ...
- 43
1 vote
1 answer
157 views
How to improve the accuracy of the coordinates generated by the GeometricScene and RandomInstance functions?
When using the GeometricScene function and RandomInstance function, I noticed that the coordinate precision appears insufficient ...
- 345
4 votes
2 answers
299 views
How to improve and assess accuracy of NDSolve with a system of equations
I have asked about a single equation here and got useful advice. Now I am looking at a system of equations. At the moment the equations are linear, which is good for looking at accuracy, but I will be ...
- 17.2k
0 votes
0 answers
144 views
How to solve a regular integral with divergence analytically
I want to analytically integrate this integration $$\int_0^{1 - 3/rs}\left(\frac{9 \sqrt{3} \sqrt{\frac{1}{\left(1-\frac{2}{\eta }\right) \eta ^2 \left(\frac{\eta ^2}{1-\frac{2}{\eta }}-27\right)}}}...
- 57
1 vote
1 answer
228 views
Precision and Accuracy error in solving complex equation
Following @Bob Hanlon's suggestion in my previous post, I created the following Mathematica script for solving a new equation, more complicated than the previous one. The goal is to compute the ...
- 1,038
5 votes
2 answers
879 views
Strange results about the sine function of a big integer
I want to calculate the sine of a big integer, e.g., Sin[10^50], but found that N[Sin[10^50]], N[Sin[10^50],10], and N[Sin[10^50],20] give different results: ...
