Linked Questions
12 questions linked to/from NIntegrate over a list of functions
13
votes
1
answer
869
views
How to calculate the numerical integral more efficiently?
Rencently, I ecountered the following numerical intergral:
$$
\begin{cases}
\mathbf I_1=\displaystyle \int_{t}\mathbf N' {\mathbf N'}^{\text T}{\rm d}t\\
\mathbf I_2=\displaystyle \int_{t}\mathbf N'' {...
- 655
9
votes
4
answers
427
views
How to avoid repetitive calculation when doing numerical integral?
Suppose I have a function f[x] which is very complicated, together with a function g[f[x]]+h[x] to integrate. That is:
...
- 1,755
3
votes
2
answers
850
views
NIntegrate piecewise vector function
Is there a way to numerically integrate a vector function defined via Piecewise?
Example:
...
- 133
7
votes
1
answer
1k
views
Mathematica 10.2 is slow to NIntegrate highly oscillatory integrals
I noticed that Mathematica V10.2 is taking much longer to run my code when compared with V9. One function that seems affected is NIntegrate. For example, for a ...
- 73
3
votes
2
answers
2k
views
Numerical integration's speed
Consider this numerical integration of a Bessel function:
Do[NIntegrate[BesselJ[2, x], {x, 0, 10000}], {i, 1, 100}] // AbsoluteTiming
{4.033403, Null}
This is ...
- 3,886
5
votes
2
answers
1k
views
NDSolve in Mathematica won't use all the cores avaiable
When I solve a system of differential equations in MATLAB, the task manager shows that all the CPU cores are in use. This is not true when I solve the same system in Mathematica. I have six cores. ...
- 3,886
3
votes
2
answers
1k
views
More issues Integrate, NIntegrate, FindRoot
I'm trying to solve a system of 3 non-linear equations using FindRoot and Integrate. If I start FindRoot[] close to the right answer, it works well but returns a bunch of error messages first.
...
- 4,642
2
votes
2
answers
476
views
Mathematica code in fortran [closed]
I have an integral in which the integrand is a combination of ratio of modified bessel function of second kind. I am able to find the solution of this integral with mathematica Nintegrate module with ...
5
votes
1
answer
337
views
Slow exponential evaluation over lists
This question,which is still unanswered, might be relevant because it involves NIntegrate over lists and it also has Exp.
In ...
- 3,886
1
vote
1
answer
845
views
Slow evaluation of NIntegrate when used as a pure function
I asked a perhaps related question here.
Here is my code in below. The goal is that to define a function which must be integrated numerically. The function itself first is calculated over different ...
- 3,886
3
votes
1
answer
213
views
FunctionInterpolation changes the Output dimensions of an InterpolatingFunction
Minimal example
...
- 608
4
votes
0
answers
253
views
Nested NIntegrate of vector function
I am trying to perform a nested integration where the upper limit of the inner integral depends on the value of the outer integral, like in this question: Nested NIntegrate.
Just like the linked ...
- 1,128