# Questions tagged [precision-and-accuracy]

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### Export high precision data to HDF5

Recently, I would like to use HDF5 instead of CSV because of times Import taking. Especially, I have to manage large data with high precision (about 50 degits) and ...
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### How to improve the accuracy of the data involved in the calculation?

I want to draw the error of the two iterative methods. ...
28 views

### Improve numerical integration precision for multi-dimensional Integral

I have the following 4-dimensional integral ...
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### Significant digits

I have a rather silly question, so please excuse me=) Let's say I have a general Mathematica code, where I numerically evaluate and combine several quantities. I would like to know how to determine ...
232 views

### Why do isolated large values of WorkingPrecision fail in NDSolve?

Executive Summary: Getting an accurate answer often depends on setting the WorkingPrecision high enough. Once it is high enough, though, I would expect that its ...
58 views

### How can I get a more clear result for plot of this function?

I use this command ...
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### Expression evaluates to a different number when made a function

The following expression evaluates to zero at large n when just using replacement, but if the same expression is defined as a function ...
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### Precision on FindRoot

I am trying to solve a non linear system of equation, and when I solve it, I have the following message FindRoot::lstol: The line search decreased the step size to ...
136 views

### Can I change the default behavior so that “0.1” is interpreted as “1/10” automatically?

Consider the function f[a_] := NIntegrate[Sqrt[a + Log[x]], {x, 1, 10}, WorkingPrecision -> 30]. With this definition, I cannot call ...
34 views

### Increase precision of ConvexHullMesh

I want to generate a set of equations for all planes in the convex hull as specified in this question. The problem is that the generated set of equations don't correctly cover all the points. I run a ...
31 views

### When do errors stop calculations? [closed]

When plotting Plot[Exp[-1/(1 - (x + 10)^2)], {x, -11, -10}], I get the following warning but the Plot follows. However, if I ...
76 views

### Precision lost on function estimation

I'm trying to plot a function such as: ...
52 views

### Is there an alternative way instead of increasing the number of plotpoints in RegionPlot to get a better result?

I have this function and I use RegionPlot to see in which part of the domain, the function is negative: ...
36 views

### Mathematica precision on extensive eigenvalues calculations

Im trying to evaluate some dot products with eigenvectors and matrices using Mathematica. My problem is the following: To an given matrix 6x6: ...
81 views

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### Discrepancy between the results of NIntegrate with different methods and options

I am trying to perform a numerical integration on a function defined through a sum of exponential terms. The summation is given by: ...
52 views

### Can not get n-digits precision with N[expr, n] in WSTP

I am new to Wolfram Language and wolfram engine. I use wolfram engine development kit to increase the precision of the output from Spherical Bessel function from WSTP in c++. Part of codes that ...
110 views

### What is the most accurate way of getting the highest derivative from NDSolve?

I would like to compare my simulations in Mathematica to measured data. I measure acceleration but for simulations the starting point is displacement. How does one get accurate simulations of higher ...
72 views

### Two different results for the same differential equation while using “AccuracyGoal”, “WorkingPrecision” and “PrecisionGoal”

I saw some strange behavior as I was solving a differential equation, so I decided to plot the solution in three different conditions. First, I defined the initial conditions and some constants: ...
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### Plot Arc Length Parametrization

I want to plot the parametrization of the curve with respect to arc length. It is all known that we have to find the inverse of the arc length of the original function i.e. $F(t)$, and ...
42 views

### Set Underflow precision in Mathematica 12 same as version 11.x [duplicate]

It seems like Mathematica version 12 sets arbitrary underflow precision depending on the function, but I would like the underflow precision to be same as what was for previous version of Mathematica ...
54 views

### FindRoot giving error in Mathematica version 12

I was using the same code in previous version of Mathematica but unfortunately I had to update Mathematica to version 12 because I upgraded MacOS to Catalina. Now when I run my code, I get this error ...
83 views

### How to convert a number with more decimal places to the number as it shows on the screen?

I came across a situation where many results got many decimal places. For further calculations in my situation, I would just take the value as it shows on the screen and drop further digits. For ...