All Questions
Tagged with precision-and-accuracy performance-tuning
17 questions
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Why does using Range with arbitrary-precision numbers slow down computations, and how can I optimize?
I am working with some computations in Mathematica that involve creating several large tables and then taking a product and sum of their elements. I’ve noticed a significant performance difference ...
- 590
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2
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86
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How to speed up the n-th Laplacian or derivative of function?
We wish to solve for the multiple Laplacian of a function, and here we use sum of E-exponential functions as an example：
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1
answer
81
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Expression evaluates numerically inside of Plot but not inside NIntegrate
I have a function that I want to integrate:
...
- 13
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41
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1
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179
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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
1
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1
answer
208
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How do I speed up this numerical integration with Bessel functions? (Tried changing Working Precision and Integration Strategies)
I need to compute the function P[b] given as follows:
...
- 11
1
vote
1
answer
310
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Floating point precision and speed [closed]
I am attempting to understand how to speed up the evaluation of numerical expression.
Specifically, following the first point of this blog, Mathematica is much quicker dealing with floating-point ...
- 1,575
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1
answer
108
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How to improve the accuracy of integration with Bessel function without significant drop in performance?
Consider the following function and integral:
...
- 5,881
0
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0
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77
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How to set up precision by default?
I have a table computing many numbers with large precision. Because of this, probably, Mathematica consumes a lot of RAM. Is it possible to restrict the precision in any calculations by default (...
- 5,881
2
votes
2
answers
292
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Most efficient strategy for integrating over removable poles?
I am finding many situations where I have to numerically integrate some function $f(x)$ of the form:
$$f(x)=f_{s}(x)-ax^{-n},$$
where $f_s$ is a special function with a finite-order pole that is ...
- 1,120
4
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2
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213
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Why is DistributeDefinitions taking so long with 100-300 Mb constants?
Why does DistributeDefinitions take so long to distribute variables that are 100-300 Mb in size?
I am setting up ParallelTable ...
- 2,914
1
vote
1
answer
103
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Optimization of numerical integration
I would like to ask for a help from community in the numerical computation of an integral and in the preparation of a contour plot. I have already done some work in this direction, but everything is ...
- 21.8k
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1
answer
111
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How to make these operations occur faster?
How can I get this section of the code to solve this integration faster. I have rather large values but I don't need it to be too specific. However if I lower the precision it says the integration is ...
- 43
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1
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Performance Tuning - How can I make Mathematica to use less than certain digits number?
I would like to know if there is a way to make Mathematica to use at most certain digit number. For example, Suppose I want to calculate 2*Pi.
x=N[Pi]
y=2*x
...
3
votes
0
answers
190
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How to avoid the time consuming side effect of SetPrecision
My code requires to set some precision to get more accurate results. But I found when I set the precision like 20 or 30, the computation speed would jump 7-10 times slower...
Here's an example:
<...
- 683