All Questions
Tagged with precision-and-accuracy numerics
154 questions
5
votes
2
answers
656
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:
...
0
votes
0
answers
44
views
How to get the correct result of the difference of two large numbers? [duplicate]
I found that when the variables of the Airy functions are complex numbers such as a=-36.3 - 63.1 I and b=-37.7- 65.4 I in the ...
- 35
1
vote
1
answer
81
views
0
votes
1
answer
35
views
`NMinimize` provides wrong answer when `WorkingPrecision` is specified
I'm trying to use NMinimize to solve the 4th question of Hundred-dollar, Hundred-digit Challenge problems
What is the global minimum of the function
$\exp(\sin(50x)...
- 2,330
0
votes
0
answers
41
views
0
votes
1
answer
54
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ContourPlot does not draw intersection point and draws ragged plots [closed]
I have the following implicit equation:
$$
M^{-2\frac{\gamma-1}{\gamma+1}}(r)+\frac{\gamma-1}{2}M^{\frac{4}{\gamma+1}}(r) = \frac{g(r)}{g_0}\left( M_0^{-2\frac{\gamma-1}{\gamma+1}}+\frac{\gamma-1}{2}...
- 4,056
0
votes
1
answer
179
views
NMinimize can not find points that satisfy constraints
NMinimize cant find solutions for a function which clearly has one. Setting a working precision resulted in some output, however with error messages about tolerance and precision.
Heres my code. The ...
- 590
2
votes
2
answers
175
views
How to get correct numerical result without lots of digit precisions?
I am wondering if it is possible to get the correct numerical result without computing with a lot of precisions in expressions.
as a simple example suppose in the middle of some of my numerical code ...
0
votes
0
answers
51
views
2
votes
2
answers
276
views
How to prevent Mathematica from rounding some PDF values to 0?
Dear Mathematica community,
I'm having a problem with the PDF function for the hypoexponential distribution. Specifically, Mathematica returns 0 as soon as the value is very small. Below is an example:...
- 31
1
vote
0
answers
129
views
Kahan Compensated Summation
Is there an example/library that implements Kahan summation in Mathematica for matrix-matrix/vector-matrix multiplication?
Having some trouble adapting something like this Compilation of Total with ...
- 11
5
votes
1
answer
144
views
Mathematica ignores precision requirement when evaluating a Legendre function
Bug persisting through 13.1.0 [CASE:4953269]
When attempting to calculate a certain associated Legendre polynomial within a given precision, Mathematica seems to ignore it if the argument is ...
- 1,575
4
votes
2
answers
200
views
Adding numbers with defined precision produces incorrect result
I've tracked a bug in my code down to the problem of adding two numbers together, with the left argument having machine precision, e.g by 3` . The issue is, if ...
- 587
1
vote
0
answers
59
views
Controlling accuracy for code
So I have a lot of trouble controlling precision and or accuracy with Mathematica. I have tried reading up for it but in the end I get even more confused. Here is my code, it is a little long but it ...
- 657
0
votes
1
answer
94
views
Confusion about precision [duplicate]
When I evaluate
x = 1.0000000000000000001 (* Precision of 20 digits *)
Mathematica returns
...
- 1,752