Linked Questions

9
votes
4answers
318 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: ...
13
votes
1answer
690 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'' {...
3
votes
2answers
710 views

NIntegrate piecewise vector function

Is there a way to numerically integrate a vector function defined via Piecewise? Example: ...
7
votes
1answer
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 ...
5
votes
2answers
789 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
votes
2answers
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. ...
3
votes
1answer
1k views

Numerical integration's speed

Consider this numerical integration of Bessel function: Do[NIntegrate[BesselJ[2, x], {x, 0, 10000}], {i, 1, 100}] // AbsoluteTiming {4.033403, Null} This is ...
5
votes
1answer
301 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 ...
2
votes
2answers
255 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 ...
1
vote
1answer
681 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 ...
4
votes
0answers
216 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 ...
3
votes
1answer
109 views

FunctionInterpolation changes the Output dimensions of an InterpolatingFunction

Minimal example ...