All Questions
Tagged with compile numerical-integration
16 questions
4
votes
2
answers
291
views
How to speedup the integration of a tabulated function?
The problem
Consider some pre-generated list with coordinates x1,x2,x3,x4 and values of some function ...
- 5,963
1
vote
0
answers
40
views
Multi-NIntegral with a compiled function: Why not improved so much?
I want to compute the multi-dimensional integral by using NIntegral with the compiled function.
I have compiled an integrand function.
It made the computation time of the integrand about 100 times ...
- 11
2
votes
1
answer
101
views
Why does the integration of this symbolic matrix slow down after compilation?
There's a symbolic matrix as the following. Why does the integration of the symbolic matrix slow down after compilation? How to eliminate the error information in red? Thanks.
Note: The sample matrix ...
- 693
5
votes
2
answers
454
views
Speed up averaging of numerically solved differential equations
I deals with a coupled system with non-linear differential equations of first order. I perform numerical solution with NDSolve and then use obtained solutions, <...
- 803
5
votes
1
answer
442
views
Why does NIntegrate become much faster if I evaluate a function, then compile it, then make it numerical?
I am using Mathematica for numerical integrals in optics. By accident, I found out that NIntegrate becomes faster by an order of magnitude for a function I'm integrating, if I take the following steps:...
- 53
0
votes
1
answer
73
views
Replacement inside NIntegrate
I'm computing rather complicated expressions using NIntegrate, and for that, my integrand is created as some compiled function (to speed up evaluation).
...
2
votes
1
answer
76
views
Gyrating particle transmission through rectangle: NIntegrate or something faster?
I need a function that tells me, what transmission a gyrating particle has through a rectangular aperture if you consider all phase angles. So for a specific guiding center position and gyration ...
1
vote
1
answer
84
views
NIntegrate fails with functions that have (necessarily) numeric lists as arguments
I'm not able to NIntegrate a function that has a numeric list as an argument. My original problem involves a compiled function, but a MWE is the following:
...
- 327
1
vote
0
answers
376
views
Compiled function and integration
I'm using the recursive functions defined here: MyFnc and myFncC (compiled version). I want to call this functions in the ...
- 199
2
votes
0
answers
305
views
integration of a list of gaussian type orbitals (GTO)
I am currently trying to integrate various components of a current density (j={jx,jy,jz}) over space.
The problem is that the current j is extracted from a quantum chemical computation and is a sum of ...
- 133
10
votes
3
answers
2k
views
NIntegrate-ing a compiled function
I'm trying to integrate numerically in 6 dimensions a very long expression and I read about the option to NIntegrate a compiled function which should be faster. ...
- 101
0
votes
2
answers
1k
views
Numerical 3D Integration in Mathematica [closed]
My question in short is: Is it possible to make numerical 3D integration in mathematica efficiently? Or am I gonna have to move this to C++? I feel this problem is way too trivial to go to C++, so ...
25
votes
2
answers
3k
views
Using a compiled function inside NIntegrate gives "CompiledFunction::cfsa" message
The following function is defined for Real input:
...
- 1,587
7
votes
1
answer
2k
views
Speeding up numerical Fourier Transform
I wrote this function NFourierTransform, which takes a function $f(k)$ and numerically calculates the fourier transform integral for discrete values of $k \in [k_{\...
- 4,064
3
votes
1
answer
494
views
how to nest parallelized computations on a cluster?
I am lucky to have access to a computational cluster and I could submit my job to many-many cores. As I need to evaluate a numerical integral within a numerical integral, I would like to know if I can ...
- 345
0
votes
2
answers
2k
views
nested numerical integration: not valid limits?
I encountered an error when I was hoping for some Mathematica (8.0.4) magic sparing me to code up numerical integration, function approximation and root-finding myself. The broader context and the ...
- 345