Questions tagged [error-propagation]
The error-propagation tag has no usage guidance.
23
questions
2
votes
1answer
112 views
Testing the accuracy of numerically computed derivatives - alternative method
So I have asked this question earlier today:
Testing the accuracy of numerically computed derivatives,
This method works well for DifferenceOrder methods but upon reading https://reference.wolfram....
1
vote
2answers
76 views
Testing the accuracy of numerically computed derivatives
I am calculating approximate derivatives by using NDSolve`FiniteDifferenceDerivative, so this works:
...
0
votes
1answer
43 views
How to find the Maximal Absolute Error?
I found this fit but I do not understand how to find the maximal absolute error nor do I understand what it is really. I do not see what it is I would compare, would it be ...
0
votes
0answers
31 views
Propagation of errors direct calculation
hoping this is not straight a duplicated from another post, I'm writing you because I have a big confusion about propagation of errors and the best way to calculate it in Mathematica.
First of all, ...
0
votes
1answer
23 views
Properly defining and plotting a function that requires `NSolve`
I want to defined a function that solves some equation numerically:
...
-2
votes
1answer
34 views
Error of a function containing complex numbers
Please, what is the statistical error formula of the function f (uncertainty) by Mathematica code:
a=x+I y ; b=u+I v;
f=Abs[a]^2+Abs[b]^2;
20
votes
0answers
229 views
How to get an absolute value of Around?
Around is a useful feature of Mathematica 12 to work with uncertain data.
x = Around[-1, {0.5, 1.5}]
$-1.0^{+1.5}_{-0.5}$
...
1
vote
0answers
64 views
How do the Around and AroundReplace commands work with the complexes?
Let us consider
s = Around[1, 0.2] + I*Around[2, 0.3]
Around[
Complex[1., 2.], 0.36055512754639896`]
What does it mean? The documentation to the Around ...
13
votes
3answers
988 views
How does the Around command at zero work?
I enter:
Around[0,0.5]^2
and I get 0.
This is a bit strange. Around[0,0.5] is supposed to represent numbers between -0.5 and 0.5. So by my estimates the square ...
1
vote
2answers
147 views
Estimating the uncertainty in the slope of a straight line given the uncertainty in the data points
Basically I have some datapoints on the form $(x_i,y_i)$
...
1
vote
1answer
64 views
Error propagation with complex number [duplicate]
I have an expression of a physical observable in which some input parameters are taken. The corresponding errors of these input parameters are given. To get the error of this observable what code I ...
16
votes
2answers
365 views
Around usage results
Why is
Around[10, 1]^2
+- 20
and
Around[10, 1] Around[10, 1]
giving 100 +- 14 ?
Just curious I would suspect them to ...
10
votes
1answer
141 views
Why does Success[…][key] work and Failure[…][key] doesn't work?
I'm trying to figure out what is a quick way to add error reporting to my user defined functions. I was experimenting with Success and ...
0
votes
0answers
53 views
Error plotting in 2D
I have some data: along Y axis: 5.86*10^(-8),2.56*10^(-8),3.21*10^(-8) with error 0.58, 0.25 and 0.32 respectively.
along X axis: there are some range corresponding each value of Y axis such as:
0.1-...
0
votes
0answers
48 views
error bar plotting with some range
In the following pic I want to show the error bar plotting with some given data: Y axis: 5.86*10^(-8) with error .58*10^(-8) and X axis: 0.1 to 2 (that means there is a range), 2.56*10^(-8) with error ...
1
vote
2answers
184 views
0
votes
0answers
62 views
How to use “Chop” kind of operation on whole mathematica file
In an array of steps including logarithms and integrations, I am finding the problem of small imaginary parts of some o/p's which are complicating/inhibiting the further steps.
I found that "Chop" ...
3
votes
1answer
218 views
Propagate error through `FindFit`
I have several sampled points $(x_i, y_i)$ with mutually independent error on the y coordinate $\sigma_{y_i}$. For simplicity, I'm assuming no error in the x coordinates ($\sigma_{x_i} \ll \sigma_{...
1
vote
0answers
111 views
Determining the intersection of two functions with errors on parameters
Let's assume I want to calculate the intersection points of two functions $f(x)$ and $g(x)$. That is simple enough, I define my functions, e.g. like so and use Solve...
18
votes
2answers
773 views
Error and uncertainty propagation: Is using Precision/Accuracy a sound strategy?
Questions
What are the available resources to deal with experimental error and uncertainty propagation in Mathematica?
Given that Mathematica already uses linearized model of error propagation on ...
0
votes
0answers
118 views
Error propagation with NDSolve and periodic boundary conditions
I'm trying to solve the problem of heat conduction through soil with periodic temperature variations on the surface.
For now I'm working with a 1D model but I see that the solution doesn't work, it ...
5
votes
1answer
899 views
24
votes
4answers
1k views
Create an adaptive amount of local variables for error propagation
I intend to write a function which calculates the result and the error for any formula with any amount of variables using the Gauß Error Propagation.
The error $\mathrm{d}R$ for a function $A(a,b,c)$ ...
