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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 ...
John Taylor's user avatar
  • 5,963
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 ...
likehust's user avatar
  • 693
5 votes
1 answer
443 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:...
KBS's user avatar
  • 53
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 ...
J. Rouxel's user avatar
  • 133
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_{\...
einbandi's user avatar
  • 4,064